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Results (displaying matches 1-50 of 501282) Next
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 8.0.1361513.1 | x8 - x7 + 2x6 - 3x5 + 3x4 - 3x3 + 2x2 - x + 1 | \( 17\cdot 283^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.0.1424293.1 | x8 - 2x7 + 2x6 - x5 + x4 - x3 + 2x2 - 2x + 1 | \( 13\cdot 331^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.0.1520789.1 | x8 - x7 - x6 + x4 - x2 + x + 1 | \( 29\cdot 229^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.0.2067245.1 | x8 - x7 + x6 - x4 + x2 - x + 1 | \( 5\cdot 643^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.0.2671805.1 | x8 - x5 + x4 - x3 + 1 | \( 5\cdot 17^{2}\cdot 43^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.0.2708009.1 | x8 - x7 - x6 + x5 + x4 - x3 - x2 + x + 1 | \( 41\cdot 257^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.0.2963293.1 | x8 - 3x7 + 5x6 - 6x5 + 7x4 - 6x3 + 5x2 - 3x + 1 | \( 37\cdot 283^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.0.3134053.1 | x8 - x7 + x6 - 2x5 + 3x4 - 2x3 + x2 - x + 1 | \( 13\cdot 491^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.0.3618429.1 | x8 - x7 + 3x6 - 4x5 + 6x4 - 5x3 + 5x2 - 3x + 1 | \( 3\cdot 23\cdot 229^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.0.3828193.1 | x8 - 3x7 + 5x6 - 4x5 + x4 + 2x3 - 2x2 + 1 | \( 73\cdot 229^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.0.4244717.1 | x8 - 3x7 + 7x6 - 10x5 + 11x4 - 10x3 + 7x2 - 3x + 1 | \( 53\cdot 283^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.0.4457485.1 | x8 - 2x6 - x5 + 3x4 + x3 - 2x2 + 1 | \( 5\cdot 17\cdot 229^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.0.4512008.1 | x8 + x6 - x5 + 2x4 - x3 + x2 + 1 | \( 2^{3}\cdot 751^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.2.4711123.1 | x8 - x7 - x5 + 2x3 + x - 1 | \( -\,43\cdot 331^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.2.4725251.1 | x8 - 4x6 - 2x5 + 7x4 + 5x3 - 3x2 - 4x - 1 | \( -\,59\cdot 283^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.0.4885429.1 | x8 - 4x7 + 8x6 - 9x5 + 8x4 - 7x3 + 7x2 - 4x + 1 | \( 61\cdot 283^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.0.5019724.1 | x8 - 2x7 + 3x5 - 3x4 + 3x2 - x + 1 | \( 2^{2}\cdot 19\cdot 257^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.2.5149367.1 | x8 - x6 - x5 - x3 + x2 + x - 1 | \( -\,47\cdot 331^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.0.5161280.1 | x8 - x7 - x4 + x + 1 | \( 2^{6}\cdot 5\cdot 127^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.2.5365963.1 | x8 - x7 + x6 - 2x5 + 5x4 - 5x3 + 3x2 - 1 | \( -\,67\cdot 283^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.2.5365963.2 | x8 - 2x5 + x4 - x3 - 2x2 + 3x + 1 | \( -\,67\cdot 283^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.0.5716069.1 | x8 + 2x6 - 2x5 + x4 - 3x3 + x2 + 1 | \( 109\cdot 229^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.0.5806733.1 | x8 - 3x6 - 2x5 + 3x4 + 3x3 + x2 + x + 1 | \( 53\cdot 331^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.0.5812312.1 | x8 - x7 - x6 + 3x5 - 2x4 + 3x2 - 2x + 1 | \( 2^{3}\cdot 11\cdot 257^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.0.5878361.1 | x8 - 2x7 + 3x6 - 4x5 + 3x4 - 3x3 + 2x2 + 1 | \( 89\cdot 257^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.2.6022411.1 | x8 - x7 + x5 + x4 + x3 - 5x2 + 4x - 1 | \( -\,19\cdot 563^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.0.6076508.1 | x8 - 3x7 + 4x6 - 4x5 + 6x4 - 6x3 + 3x2 - 2x + 2 | \( 2^{2}\cdot 23\cdot 257^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.0.6166853.1 | x8 + 2x6 - x5 + 3x4 - x3 + 2x2 + 1 | \( 7\cdot 11\cdot 283^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.0.6406753.1 | x8 - 2x7 + 2x6 + x5 - 4x4 + 4x3 + x2 - 3x + 1 | \( 97\cdot 257^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.2.6464099.1 | x8 - 3x7 + 3x6 + x5 - 4x4 + 5x2 - 5x + 1 | \( -\,59\cdot 331^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.2.6647387.1 | x8 + x6 - x5 - 4x4 - 4x3 - 5x2 - 4x - 1 | \( -\,83\cdot 283^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.2.6647387.2 | x8 - 2x6 - x5 + 5x4 + 7x3 + 3x2 - x - 1 | \( -\,83\cdot 283^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.0.6656349.1 | x8 - x7 + x6 + x4 + x2 - x + 1 | \( 3\cdot 7\cdot 563^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.2.6668032.1 | x8 + x6 - 2x5 - x4 - 2x3 + x2 + 1 | \( -\,2^{8}\cdot 7\cdot 61^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.0.6869096.1 | x8 - 2x7 + 4x5 - 2x4 - 5x3 + 9x2 - 6x + 2 | \( 2^{3}\cdot 13\cdot 257^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.0.7121465.1 | x8 - x7 + 2x6 - x5 + 3x4 - x3 + 2x2 - x + 1 | \( 5\cdot 13\cdot 331^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.2.7288099.1 | x8 - 3x7 + 4x6 + x5 - 9x4 + 13x3 - 9x2 + 4x - 1 | \( -\,7\cdot 13\cdot 283^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.2.7290287.1 | x8 - x7 - 3x6 + 4x5 + 3x4 - 4x3 - 2x2 + 1 | \( -\,23\cdot 563^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.2.7473511.1 | x8 - x7 + x6 - x5 - 2x4 + x3 - x2 + 2x + 1 | \( -\,31\cdot 491^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.0.7603945.1 | x8 - x7 - 2x6 + 3x5 + 3x4 - 3x3 - 2x2 + x + 1 | \( 5\cdot 29\cdot 229^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.0.7813709.1 | x8 - 3x7 + 3x6 + 2x5 - 3x4 - 2x3 + 3x2 + 3x + 1 | \( 149\cdot 229^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.0.7955673.1 | x8 - x7 + 2x6 - x5 + x4 - x3 + 2x2 - x + 1 | \( 3\cdot 11\cdot 491^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.0.7997953.1 | x8 - x7 + 3x6 - 4x5 + 5x4 - 2x3 + 2x2 + 1 | \( 73\cdot 331^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.0.8046848.1 | x8 - 2x7 + 2x6 - 2x5 + 3x4 - 2x3 + 2x2 - 2x + 1 | \( 2^{8}\cdot 17\cdot 43^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.2.8249167.1 | x8 - x6 - 3x5 - 2x4 + x3 - 3x2 - 3x - 1 | \( -\,103\cdot 283^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.2.8454607.1 | x8 - x6 - 2x5 + 3x4 - 2x3 - x2 + 1 | \( -\,7^{3}\cdot 157^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.2.8569523.1 | x8 - 2x6 - 2x5 + x4 + 3x3 + x2 - 1 | \( -\,107\cdot 283^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.0.8652765.1 | x8 - 3x7 + 7x6 - 10x5 + 13x4 - 10x3 + 7x2 - 3x + 1 | \( 3\cdot 5\cdot 11\cdot 229^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.2.8655319.1 | x8 - 2x7 + x6 - x5 + 4x4 - 3x3 + x2 - x - 1 | \( -\,79\cdot 331^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
| 8.0.8919997.1 | x8 - 2x7 + 3x6 - x5 - 2x4 + 4x3 - x + 1 | \( 37\cdot 491^{2} \) | $C_2 \wr S_4$ (as 8T44) | Trivial |
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