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Label Polynomial Discriminant Galois group Class group
5.1.2665.1 x5 - x4 + x3 - x2 + 2x - 1 \( 5\cdot 13\cdot 41 \) $S_5$ (as 5T5) trivial
5.1.8073.1 x5 - x4 - x3 + x2 + 2x - 1 \( 3^{3}\cdot 13\cdot 23 \) $S_5$ (as 5T5) trivial
5.1.9412.1 x5 + x3 - x2 + 2x + 1 \( 2^{2}\cdot 13\cdot 181 \) $S_5$ (as 5T5) trivial
5.1.12389.1 x5 - 2x4 + 2x3 - 4x2 + 2x - 1 \( 13\cdot 953 \) $S_5$ (as 5T5) trivial
5.1.13676.1 x5 - x4 - 2x3 + 3x2 + 2x - 2 \( 2^{2}\cdot 13\cdot 263 \) $S_5$ (as 5T5) trivial
5.3.14911.1 x5 - x4 - 2x3 - x2 + 3x + 1 \( -\,13\cdot 31\cdot 37 \) $S_5$ (as 5T5) trivial
5.1.16757.1 x5 - x4 + 2x2 + 1 \( 13\cdot 1289 \) $S_5$ (as 5T5) trivial
5.1.16757.2 x5 - 2x4 + 2x3 - 2x - 1 \( 13\cdot 1289 \) $S_5$ (as 5T5) trivial
5.1.22945.1 x5 - 2x4 + 4x3 - 3x2 + 4x - 1 \( 5\cdot 13\cdot 353 \) $S_5$ (as 5T5) trivial
5.1.24557.1 x5 - x4 - x3 + 3x2 + x - 2 \( 13\cdot 1889 \) $S_5$ (as 5T5) trivial
5.3.26507.1 x5 - 2x4 + 2x3 - 3x + 1 \( -\,13\cdot 2039 \) $S_5$ (as 5T5) trivial
5.1.26845.1 x5 - x4 + 2x2 - x - 2 \( 5\cdot 7\cdot 13\cdot 59 \) $S_5$ (as 5T5) trivial
5.1.28184.1 x5 - 2x4 + 5x3 - 7x2 + 8x - 4 \( 2^{3}\cdot 13\cdot 271 \) $S_5$ (as 5T5) trivial
5.1.29081.1 x5 + 2x3 - 3x2 + 1 \( 13\cdot 2237 \) $S_5$ (as 5T5) trivial
5.1.31824.1 x5 - 2x3 + 2x - 2 \( 2^{4}\cdot 3^{2}\cdot 13\cdot 17 \) $S_5$ (as 5T5) trivial
5.1.40872.1 x5 - x4 + x3 - 2x2 - 3 \( 2^{3}\cdot 3\cdot 13\cdot 131 \) $S_5$ (as 5T5) trivial
5.1.43472.1 x5 - 2x4 + x3 - 3x + 4 \( 2^{4}\cdot 11\cdot 13\cdot 19 \) $S_5$ (as 5T5) trivial
5.1.46384.1 x5 - x4 - 3x3 + 3x2 + x + 1 \( 2^{4}\cdot 13\cdot 223 \) $S_5$ (as 5T5) trivial
5.3.47671.1 x5 - x4 + x3 - 3x + 1 \( -\,13\cdot 19\cdot 193 \) $S_5$ (as 5T5) trivial
5.1.48945.1 x5 - x4 + 3x2 + 5x + 1 \( 3\cdot 5\cdot 13\cdot 251 \) $S_5$ (as 5T5) trivial
5.1.48997.1 x5 - 2x4 - 2x3 + 4x2 + 5x + 1 \( 13\cdot 3769 \) $S_5$ (as 5T5) trivial
5.1.49712.1 x5 - x4 + x3 + 3x2 - x + 1 \( 2^{4}\cdot 13\cdot 239 \) $S_5$ (as 5T5) trivial
5.1.51857.1 x5 - x4 + x3 + x2 + 2x - 1 \( 13\cdot 3989 \) $S_5$ (as 5T5) trivial
5.1.53456.1 x5 - 2x2 - 4x - 2 \( 2^{4}\cdot 13\cdot 257 \) $S_5$ (as 5T5) trivial
5.1.57928.1 x5 - x4 - x2 + x + 2 \( 2^{3}\cdot 13\cdot 557 \) $S_5$ (as 5T5) trivial
5.1.58669.1 x5 - 2x4 - 2x3 + 5x2 + x + 1 \( 13\cdot 4513 \) $S_5$ (as 5T5) trivial
5.1.59072.1 x5 - x4 + 3x3 - 5x2 + x + 3 \( 2^{6}\cdot 13\cdot 71 \) $S_5$ (as 5T5) trivial
5.3.60567.1 x5 - x3 - 3x2 - 5x + 1 \( -\,3\cdot 13\cdot 1553 \) $S_5$ (as 5T5) trivial
5.3.60944.1 x5 - x4 - 3x3 - x2 + 4x + 2 \( -\,2^{4}\cdot 13\cdot 293 \) $S_5$ (as 5T5) trivial
5.1.62452.1 x5 - 2x4 + 3x3 - 6x2 - 4 \( 2^{2}\cdot 13\cdot 1201 \) $S_5$ (as 5T5) trivial
5.1.62660.1 x5 - x4 + 3x3 - 2x2 + 4x - 2 \( 2^{2}\cdot 5\cdot 13\cdot 241 \) $S_5$ (as 5T5) trivial
5.1.65377.1 x5 - x3 - x2 - x - 2 \( 13\cdot 47\cdot 107 \) $S_5$ (as 5T5) trivial
5.3.65936.1 x5 - 2x4 + x3 + 2x2 - 5x + 2 \( -\,2^{4}\cdot 13\cdot 317 \) $S_5$ (as 5T5) trivial
5.3.68315.1 x5 - x4 + 2x3 + x2 - 6x + 1 \( -\,5\cdot 13\cdot 1051 \) $S_5$ (as 5T5) trivial
5.3.68432.1 x5 - x3 - 4x2 - 7x - 2 \( -\,2^{4}\cdot 7\cdot 13\cdot 47 \) $S_5$ (as 5T5) trivial
5.1.71409.1 x5 - x4 - 3x3 + 3x2 + 2x + 1 \( 3\cdot 13\cdot 1831 \) $S_5$ (as 5T5) trivial
5.3.72579.1 x5 - 2x3 - x2 - x + 2 \( -\,3\cdot 13\cdot 1861 \) $S_5$ (as 5T5) trivial
5.1.80028.1 x5 - 2x4 + x3 + x2 + 4x - 2 \( 2^{2}\cdot 3^{4}\cdot 13\cdot 19 \) $S_5$ (as 5T5) trivial
5.1.83200.1 x5 - x4 - 2x - 2 \( 2^{8}\cdot 5^{2}\cdot 13 \) $S_5$ (as 5T5) trivial
5.1.88400.1 x5 - 2x4 - 2x3 + 4x2 + 4 \( 2^{4}\cdot 5^{2}\cdot 13\cdot 17 \) $S_5$ (as 5T5) trivial
5.1.89440.1 x5 - x3 - 2x2 + 4 \( 2^{5}\cdot 5\cdot 13\cdot 43 \) $S_5$ (as 5T5) trivial
5.3.90519.1 x5 - x4 - 4x3 + 5x2 + x - 3 \( -\,3\cdot 11\cdot 13\cdot 211 \) $S_5$ (as 5T5) trivial
5.3.90688.1 x5 - 2x4 - 4x2 - x + 2 \( -\,2^{6}\cdot 13\cdot 109 \) $S_5$ (as 5T5) trivial
5.1.92209.1 x5 - 2x4 + 3x2 - 2x - 4 \( 13\cdot 41\cdot 173 \) $S_5$ (as 5T5) trivial
5.1.93392.1 x5 - x4 + 5x3 - 3x2 + 7x - 1 \( 2^{4}\cdot 13\cdot 449 \) $S_5$ (as 5T5) trivial
5.3.93652.1 x5 - x4 - 2x3 + 5x2 - 6x + 2 \( -\,2^{2}\cdot 13\cdot 1801 \) $S_5$ (as 5T5) trivial
5.1.95069.1 x5 - 3x3 - 7x2 - 6x - 4 \( 13\cdot 71\cdot 103 \) $S_5$ (as 5T5) trivial
5.1.96304.1 x5 - 2x4 + 5x3 - 4x2 + 3x + 2 \( 2^{4}\cdot 13\cdot 463 \) $S_5$ (as 5T5) trivial
5.1.96928.1 x5 - x4 - 3x3 + 3x2 + 2x + 2 \( 2^{5}\cdot 13\cdot 233 \) $S_5$ (as 5T5) trivial
5.3.98319.1 x5 - 2x3 - 5x2 - 4x + 1 \( -\,3\cdot 13\cdot 2521 \) $S_5$ (as 5T5) trivial
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