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Label Polynomial Discriminant Galois group Class group
7.5.2306599.1 x7 - 3x5 - x4 + x3 + 3x2 + x - 1 \( -\,107\cdot 21557 \) $S_7$ (as 7T7) Trivial
7.5.2369207.1 x7 - 4x5 + 3x3 - x2 + x + 1 \( -\,23\cdot 239\cdot 431 \) $S_7$ (as 7T7) Trivial
7.5.2616839.1 x7 - x6 - 3x5 + 4x4 + x3 - 5x2 + x + 1 \( -\,61\cdot 42899 \) $S_7$ (as 7T7) Trivial
7.5.2790047.1 x7 - x6 - 2x5 + 3x4 - 2x3 - 3x2 + 4x + 1 \( -\,13\cdot 157\cdot 1367 \) $S_7$ (as 7T7) Trivial
7.5.2790551.1 x7 - 2x5 - 3x3 - x2 + 3x + 1 \( -\,317\cdot 8803 \) $S_7$ (as 7T7) Trivial
7.5.2894039.1 x7 - x6 - x5 - 2x3 + 3x2 + 2x - 1 \( -\,829\cdot 3491 \) $S_7$ (as 7T7) Trivial
7.5.2932823.1 x7 - x6 - 4x3 + 2x2 + 2x - 1 \( -\,17\cdot 172519 \) $S_7$ (as 7T7) Trivial
7.5.3063719.1 x7 - 3x6 + x5 + 4x4 - 5x3 + x2 + 3x - 1 \( -\,1423\cdot 2153 \) $S_7$ (as 7T7) Trivial
7.5.3373751.1 x7 - 2x5 - 2x4 - x3 + 3x2 + x - 1 \( -\,1567\cdot 2153 \) $S_7$ (as 7T7) Trivial
7.5.3394343.1 x7 - 2x6 - 2x5 + 6x4 - x3 - 5x2 + x + 1 \( -\,37\cdot 199\cdot 461 \) $S_7$ (as 7T7) Trivial
7.5.3394511.1 x7 - 2x6 + x5 - x4 - 3x3 + 4x2 + 2x - 1 \( -\,269\cdot 12619 \) $S_7$ (as 7T7) Trivial
7.5.3404423.1 x7 - 2x5 - 3x4 + x3 + 5x2 - 1 \( -\,11\cdot 309493 \) $S_7$ (as 7T7) Trivial
7.5.3444743.1 x7 - x6 - 4x5 + 4x4 + 3x3 - 4x2 + x + 1 \( -\,3444743 \) $S_7$ (as 7T7) Trivial
7.5.3455831.1 x7 - x6 - 4x5 + 4x4 + 2x3 - 2x2 + 2x - 1 \( -\,223\cdot 15497 \) $S_7$ (as 7T7) Trivial
7.5.3685907.1 x7 - x6 - x5 + 4x4 - 2x3 - 4x2 + x + 1 \( -\,59\cdot 62473 \) $S_7$ (as 7T7) Trivial
7.5.3689911.1 x7 - 2x6 - x5 + 4x4 - 5x3 + 4x2 + x - 1 \( -\,3689911 \) $S_7$ (as 7T7) Trivial
7.5.3872527.1 x7 - x6 - x5 - 3x3 + 3x2 + 3x - 1 \( -\,3872527 \) $S_7$ (as 7T7) Trivial
7.5.3929623.1 x7 - x6 - 4x5 + x4 + 6x3 + 2x2 - 3x - 1 \( -\,47\cdot 83609 \) $S_7$ (as 7T7) Trivial
7.5.3953927.1 x7 - 5x5 + 6x3 - x2 - x + 1 \( -\,3953927 \) $S_7$ (as 7T7) Trivial
7.5.3998639.1 x7 - x6 - 2x5 + 5x4 - 6x2 + x + 1 \( -\,3998639 \) $S_7$ (as 7T7) Trivial
7.5.4010959.1 x7 - 2x6 - 2x5 + 5x4 - 3x3 - 3x2 + 4x - 1 \( -\,283\cdot 14173 \) $S_7$ (as 7T7) Trivial
7.5.4071943.1 x7 - x6 - 3x5 + 2x4 + x3 + x2 + x - 1 \( -\,23\cdot 31\cdot 5711 \) $S_7$ (as 7T7) Trivial
7.5.4080391.1 x7 - 2x6 - 2x5 + 6x4 - 3x3 - 2x2 + 4x - 1 \( -\,7\cdot 17^{2}\cdot 2017 \) $S_7$ (as 7T7) Trivial
7.5.4297259.1 x7 - 3x5 - 3x4 + 4x3 + 5x2 - 2x - 1 \( -\,4297259 \) $S_7$ (as 7T7) Trivial
7.5.4375127.1 x7 - 2x6 - 2x5 + 5x4 - x3 - 3x2 + 2x + 1 \( -\,4375127 \) $S_7$ (as 7T7) Trivial
7.5.4438087.1 x7 - 4x5 + 2x3 - 4x2 - x + 1 \( -\,4438087 \) $S_7$ (as 7T7) Trivial
7.5.4486007.1 x7 - 2x6 - x5 + 6x4 - 2x3 - 5x2 + x + 1 \( -\,463\cdot 9689 \) $S_7$ (as 7T7) Trivial
7.5.4520279.1 x7 - x6 - x5 + 3x4 - 4x3 - 2x2 + 4x - 1 \( -\,4520279 \) $S_7$ (as 7T7) Trivial
7.5.4582807.1 x7 - 3x5 - x4 - x3 + 4x + 1 \( -\,4582807 \) $S_7$ (as 7T7) Trivial
7.5.4734119.1 x7 - x6 - 3x5 + 3x4 - x2 + 3x - 1 \( -\,13\cdot 53\cdot 6871 \) $S_7$ (as 7T7) Trivial
7.5.4795631.1 x7 - 2x5 - 3x4 - 3x3 + 3x2 + 4x + 1 \( -\,4795631 \) $S_7$ (as 7T7) Trivial
7.5.4850543.1 x7 - x6 - 2x5 + 4x4 - x3 - 4x2 + x + 1 \( -\,4850543 \) $S_7$ (as 7T7) Trivial
7.5.4934959.1 x7 - x6 - 3x5 + 4x3 + 3x2 - 2x - 1 \( -\,29\cdot 379\cdot 449 \) $S_7$ (as 7T7) Trivial
7.5.5025907.1 x7 - x6 - 4x5 + 3x4 + 3x3 - 3x2 + x + 1 \( -\,5025907 \) $S_7$ (as 7T7) Trivial
7.5.5044607.1 x7 - 2x6 - 3x5 + 6x4 + x3 - 4x2 + x + 1 \( -\,5044607 \) $S_7$ (as 7T7) Trivial
7.5.5280527.1 x7 - x5 - 3x4 - 3x3 + 5x2 + 3x - 1 \( -\,7\cdot 353\cdot 2137 \) $S_7$ (as 7T7) Trivial
7.5.5307751.1 x7 - x6 - x5 - 6x3 - 3x2 + 2x + 1 \( -\,541\cdot 9811 \) $S_7$ (as 7T7) Trivial
7.5.5334959.1 x7 - 3x5 - 3x4 + x3 + 4x2 - 1 \( -\,7\cdot 139\cdot 5483 \) $S_7$ (as 7T7) Trivial
7.5.5560327.1 x7 - 2x6 - 3x5 + 7x4 + x3 - 7x2 + x + 1 \( -\,5560327 \) $S_7$ (as 7T7) Trivial
7.5.5615543.1 x7 - x6 - 3x5 + 5x4 + 2x3 - 6x2 + 1 \( -\,1097\cdot 5119 \) $S_7$ (as 7T7) Trivial
7.5.5663239.1 x7 - x6 - 3x5 + 3x3 + 3x2 - x - 1 \( -\,5663239 \) $S_7$ (as 7T7) Trivial
7.5.5671079.1 x7 - 2x6 - x5 + x3 + 6x2 + x - 1 \( -\,41\cdot 138319 \) $S_7$ (as 7T7) Trivial
7.5.5679431.1 x7 - 2x6 - 2x5 + 7x4 - 6x2 + 1 \( -\,5679431 \) $S_7$ (as 7T7) Trivial
7.5.5839319.1 x7 - 2x6 + 5x4 - 6x3 - 2x2 + 4x - 1 \( -\,5839319 \) $S_7$ (as 7T7) Trivial
7.5.5983559.1 x7 - x5 - x4 - 3x3 + 2x2 + 2x - 1 \( -\,89\cdot 67231 \) $S_7$ (as 7T7) Trivial
7.5.6099227.1 x7 - 2x6 - 3x5 + 8x4 + x3 - 7x2 + 1 \( -\,6099227 \) $S_7$ (as 7T7) Trivial
7.5.6132103.1 x7 - x6 - 3x5 - x4 + 5x3 + 3x2 - 2x - 1 \( -\,6132103 \) $S_7$ (as 7T7) Trivial
7.5.6155647.1 x7 - 2x5 - 2x3 + 3x - 1 \( -\,59\cdot 101\cdot 1033 \) $S_7$ (as 7T7) Trivial
7.5.6202855.1 x7 - 2x6 + x5 + 4x4 - 8x3 + x2 + 3x - 1 \( -\,5\cdot 53\cdot 89\cdot 263 \) $S_7$ (as 7T7) Trivial
7.5.6365719.1 x7 - x6 - 2x5 + 5x4 - 5x2 + 1 \( -\,193\cdot 32983 \) $S_7$ (as 7T7) Trivial
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