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Label Polynomial Discriminant Galois group Class group
5.3.4511.1 x5 - x3 - 2x2 + 1 \( -\,13\cdot 347 \) $S_5$ (as 5T5) Trivial
5.3.4903.1 x5 - x4 - x3 + 2x2 - x - 1 \( -\,4903 \) $S_5$ (as 5T5) Trivial
5.3.5519.1 x5 - x4 - x3 + 3x2 - 1 \( -\,5519 \) $S_5$ (as 5T5) Trivial
5.3.5783.1 x5 - 2x4 + x3 + 2x2 - 2x - 1 \( -\,5783 \) $S_5$ (as 5T5) Trivial
5.3.7031.1 x5 - x3 - x2 - x + 1 \( -\,79\cdot 89 \) $S_5$ (as 5T5) Trivial
5.3.7367.1 x5 - 2x4 + 3x2 - 2x - 1 \( -\,53\cdot 139 \) $S_5$ (as 5T5) Trivial
5.3.7463.1 x5 - 2x4 + x3 - 2x + 1 \( -\,17\cdot 439 \) $S_5$ (as 5T5) Trivial
5.3.8519.1 x5 - x4 - x2 - x + 1 \( -\,7\cdot 1217 \) $S_5$ (as 5T5) Trivial
5.3.8647.1 x5 - 3x3 - 2x2 + 2x + 1 \( -\,8647 \) $S_5$ (as 5T5) Trivial
5.3.9439.1 x5 - x4 - x3 + x2 - 2x + 1 \( -\,9439 \) $S_5$ (as 5T5) Trivial
5.3.9759.1 x5 - 2x4 + x2 - 2x - 1 \( -\,3\cdot 3253 \) $S_5$ (as 5T5) Trivial
5.3.10407.1 x5 - x4 - 3x3 + 3x - 1 \( -\,3\cdot 3469 \) $S_5$ (as 5T5) Trivial
5.3.11119.1 x5 - 2x4 + x3 + x2 - 3x + 1 \( -\,11119 \) $S_5$ (as 5T5) Trivial
5.3.11243.1 x5 - x4 - 2x + 1 \( -\,11243 \) $S_5$ (as 5T5) Trivial
5.3.11551.1 x5 - x4 - 2x3 + 3x2 - x - 1 \( -\,11551 \) $S_5$ (as 5T5) Trivial
5.3.12447.1 x5 + x3 - x2 - 3x - 1 \( -\,3^{3}\cdot 461 \) $S_5$ (as 5T5) Trivial
5.3.13219.1 x5 - 2x2 - x + 1 \( -\,13219 \) $S_5$ (as 5T5) Trivial
5.3.13523.1 x5 - x4 - x3 - x2 - 3x + 1 \( -\,13523 \) $S_5$ (as 5T5) Trivial
5.3.13799.1 x5 - x4 - x3 + 2x2 - 3x + 1 \( -\,13799 \) $S_5$ (as 5T5) Trivial
5.3.13883.1 x5 - x4 - 2x3 + x + 2 \( -\,13883 \) $S_5$ (as 5T5) Trivial
5.3.14103.1 x5 - 2x4 + 2x3 - x2 - 2x + 1 \( -\,3^{2}\cdot 1567 \) $S_5$ (as 5T5) Trivial
5.3.14631.1 x5 - x4 - 3x3 + 3x2 - 1 \( -\,3\cdot 4877 \) $S_5$ (as 5T5) Trivial
5.3.14891.1 x5 - x4 - 3x3 + 3x2 + x - 2 \( -\,14891 \) $S_5$ (as 5T5) Trivial
5.3.14911.1 x5 - x4 - 2x3 - x2 + 3x + 1 \( -\,13\cdot 31\cdot 37 \) $S_5$ (as 5T5) Trivial
5.3.15536.1 x5 - 2x4 + 2 \( -\,2^{4}\cdot 971 \) $S_5$ (as 5T5) Trivial
5.3.15919.1 x5 - 2x3 - 3x2 + 1 \( -\,15919 \) $S_5$ (as 5T5) Trivial
5.3.16816.1 x5 - 2x3 - 2x2 - 4x - 2 \( -\,2^{4}\cdot 1051 \) $S_5$ (as 5T5) Trivial
5.3.17151.1 x5 - x3 - 2x - 1 \( -\,3\cdot 5717 \) $S_5$ (as 5T5) Trivial
5.3.17348.1 x5 - x4 - 2x3 - x2 + 2x + 2 \( -\,2^{2}\cdot 4337 \) $S_5$ (as 5T5) Trivial
5.3.18063.1 x5 - x4 + x3 - 2x2 - x + 1 \( -\,3^{4}\cdot 223 \) $S_5$ (as 5T5) Trivial
5.3.18463.1 x5 - x4 - 3x3 + 4x2 + x - 1 \( -\,37\cdot 499 \) $S_5$ (as 5T5) Trivial
5.3.18583.1 x5 - x4 - x3 - 2x2 + x + 1 \( -\,18583 \) $S_5$ (as 5T5) Trivial
5.3.18839.1 x5 - x4 + 3x2 - x - 1 \( -\,18839 \) $S_5$ (as 5T5) Trivial
5.3.19015.1 x5 - 2x3 - x2 - 2x - 1 \( -\,5\cdot 3803 \) $S_5$ (as 5T5) Trivial
5.3.19951.1 x5 - 2x4 + x3 - 3x2 + 3x + 1 \( -\,71\cdot 281 \) $S_5$ (as 5T5) Trivial
5.3.21191.1 x5 - x4 - x2 - 3x - 1 \( -\,21191 \) $S_5$ (as 5T5) Trivial
5.3.21227.1 x5 - x4 - 4x2 + 3x + 2 \( -\,21227 \) $S_5$ (as 5T5) Trivial
5.3.22331.1 x5 - 2x4 + 4x2 - x - 1 \( -\,137\cdot 163 \) $S_5$ (as 5T5) Trivial
5.3.22424.1 x5 - 2x3 - x2 - x + 1 \( -\,2^{3}\cdot 2803 \) $S_5$ (as 5T5) Trivial
5.3.22448.1 x5 - x4 - 2x3 + 2x2 - x - 1 \( -\,2^{4}\cdot 23\cdot 61 \) $S_5$ (as 5T5) Trivial
5.3.22583.1 x5 - x2 - 2x + 1 \( -\,11\cdot 2053 \) $S_5$ (as 5T5) Trivial
5.3.22687.1 x5 - x4 + x3 - x2 - 2x + 1 \( -\,7^{2}\cdot 463 \) $S_5$ (as 5T5) Trivial
5.3.22935.1 x5 + x3 - 2x2 - 4x + 1 \( -\,3\cdot 5\cdot 11\cdot 139 \) $S_5$ (as 5T5) Trivial
5.3.23103.1 x5 - x4 + x2 - 3x + 1 \( -\,3^{2}\cdot 17\cdot 151 \) $S_5$ (as 5T5) Trivial
5.3.23119.1 x5 - 3x2 + 1 \( -\,61\cdot 379 \) $S_5$ (as 5T5) Trivial
5.3.23339.1 x5 - x4 + 2x2 - 2x - 1 \( -\,23339 \) $S_5$ (as 5T5) Trivial
5.3.23679.1 x5 - 2x4 + x2 - 2x + 3 \( -\,3^{3}\cdot 877 \) $S_5$ (as 5T5) Trivial
5.3.23831.1 x5 - 3x3 - 2x2 + 4x - 1 \( -\,23831 \) $S_5$ (as 5T5) Trivial
5.3.23891.1 x5 - x4 - 3x3 - x2 + 3x + 2 \( -\,7\cdot 3413 \) $S_5$ (as 5T5) Trivial
5.3.24299.1 x5 - x4 - x3 + 3x2 - x - 2 \( -\,11\cdot 47^{2} \) $S_5$ (as 5T5) Trivial

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