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Label Polynomial Discriminant Galois group Class group
5.1.4169.1 x5 + 2x3 - x2 + 2x - 1 \( 11\cdot 379 \) $S_5$ (as 5T5) trivial
5.1.5753.1 x5 - x4 - x3 + 2x2 - x + 1 \( 11\cdot 523 \) $S_5$ (as 5T5) trivial
5.1.10329.1 x5 - 3x2 - 2x - 1 \( 3\cdot 11\cdot 313 \) $S_5$ (as 5T5) trivial
5.1.11693.1 x5 - 2x2 + x + 1 \( 11\cdot 1063 \) $S_5$ (as 5T5) trivial
5.1.16192.1 x5 - x4 + x3 + x2 + x - 1 \( 2^{6}\cdot 11\cdot 23 \) $S_5$ (as 5T5) trivial
5.1.19613.1 x5 - 2x4 + 4x3 - 6x2 + 3x - 1 \( 11\cdot 1783 \) $S_5$ (as 5T5) trivial
5.1.20317.1 x5 + 4x3 - x2 + 3x - 2 \( 11\cdot 1847 \) $S_5$ (as 5T5) trivial
5.1.20801.1 x5 - x4 + 2x3 - x2 - x - 1 \( 11\cdot 31\cdot 61 \) $S_5$ (as 5T5) trivial
5.3.22935.1 x5 + x3 - 2x2 - 4x + 1 \( -\,3\cdot 5\cdot 11\cdot 139 \) $S_5$ (as 5T5) trivial
5.1.23980.1 x5 + x3 - x2 - 2 \( 2^{2}\cdot 5\cdot 11\cdot 109 \) $S_5$ (as 5T5) trivial
5.3.24299.1 x5 - x4 - x3 + 3x2 - x - 2 \( -\,11\cdot 47^{2} \) $S_5$ (as 5T5) trivial
5.1.27841.1 x5 - x4 + 3x3 - 3x2 + 1 \( 11\cdot 2531 \) $S_5$ (as 5T5) trivial
5.1.28501.1 x5 - x4 - 2x3 + 2x2 - x + 2 \( 11\cdot 2591 \) $S_5$ (as 5T5) trivial
5.1.29997.1 x5 - x4 - x3 + x2 - x + 2 \( 3^{3}\cdot 11\cdot 101 \) $S_5$ (as 5T5) trivial
5.1.31856.1 x5 + 3x3 - 2x2 + x - 2 \( 2^{4}\cdot 11\cdot 181 \) $S_5$ (as 5T5) trivial
5.1.32725.1 x5 - 2x4 + 2x3 + 2x - 1 \( 5^{2}\cdot 7\cdot 11\cdot 17 \) $S_5$ (as 5T5) trivial
5.1.33616.1 x5 - 2x4 + 4x2 - 2 \( 2^{4}\cdot 11\cdot 191 \) $S_5$ (as 5T5) trivial
5.1.33924.1 x5 - 2x4 + 3x3 - 4x2 - 2 \( 2^{2}\cdot 3\cdot 11\cdot 257 \) $S_5$ (as 5T5) trivial
5.1.36025.1 x5 + 2x3 - x2 + 2x + 1 \( 5^{2}\cdot 11\cdot 131 \) $S_5$ (as 5T5) trivial
5.1.37301.1 x5 - x2 - x + 2 \( 11\cdot 3391 \) $S_5$ (as 5T5) trivial
5.3.37532.1 x5 - x3 - x2 - 2x + 1 \( -\,2^{2}\cdot 11\cdot 853 \) $S_5$ (as 5T5) trivial
5.1.38709.1 x5 + 4x3 + 2x - 1 \( 3^{2}\cdot 11\cdot 17\cdot 23 \) $S_5$ (as 5T5) trivial
5.1.41008.1 x5 - x3 - 2x2 - 3x - 2 \( 2^{4}\cdot 11\cdot 233 \) $S_5$ (as 5T5) trivial
5.3.41591.1 x5 - 3x3 - 3x2 - x + 1 \( -\,11\cdot 19\cdot 199 \) $S_5$ (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
5.1.45177.1 x5 - 2x4 + 3x3 - 2x2 + 6x - 3 \( 3\cdot 11\cdot 37^{2} \) $S_5$ (as 5T5) trivial
5.1.48829.1 x5 - x4 - x3 + x2 + 3x - 2 \( 11\cdot 23\cdot 193 \) $S_5$ (as 5T5) trivial
5.1.48917.1 x5 - 2x4 + 2x3 - 4x2 + 5x - 1 \( 11\cdot 4447 \) $S_5$ (as 5T5) $[2]$
5.1.49984.1 x5 - x - 4 \( 2^{6}\cdot 11\cdot 71 \) $S_5$ (as 5T5) trivial
5.1.50193.1 x5 - x4 - x3 + 3x2 - 3 \( 3^{3}\cdot 11\cdot 13^{2} \) $S_5$ (as 5T5) trivial
5.3.50963.1 x5 - 3x3 - 6x2 - x + 2 \( -\,11\cdot 41\cdot 113 \) $S_5$ (as 5T5) trivial
5.1.55616.1 x5 - 2x2 - 3x - 2 \( 2^{6}\cdot 11\cdot 79 \) $S_5$ (as 5T5) trivial
5.1.57365.1 x5 - x3 - 3x2 - 5 \( 5\cdot 7\cdot 11\cdot 149 \) $S_5$ (as 5T5) trivial
5.3.58619.1 x5 - x4 - 3x3 + 2x2 - 2x - 1 \( -\,11\cdot 73^{2} \) $S_5$ (as 5T5) trivial
5.1.58828.1 x5 - 2x4 + x3 - x2 + 4x - 2 \( 2^{2}\cdot 7\cdot 11\cdot 191 \) $S_5$ (as 5T5) trivial
5.1.59400.1 x5 - 2x4 + 2x3 - 5x2 + 7x - 1 \( 2^{3}\cdot 3^{3}\cdot 5^{2}\cdot 11 \) $S_5$ (as 5T5) trivial
5.1.62392.1 x5 - x3 - x2 + 2x - 2 \( 2^{3}\cdot 11\cdot 709 \) $S_5$ (as 5T5) trivial
5.1.64801.1 x5 - x4 - 3x3 + 3x2 + 4x - 3 \( 11\cdot 43\cdot 137 \) $S_5$ (as 5T5) trivial
5.3.65483.1 x5 - x4 - 4x3 + 4x2 + 1 \( -\,11\cdot 5953 \) $S_5$ (as 5T5) trivial
5.1.65516.1 x5 - x4 - 2x3 - 3x2 - x - 2 \( 2^{2}\cdot 11\cdot 1489 \) $S_5$ (as 5T5) trivial
5.1.67936.1 x5 - 2x4 + x3 - 2x + 4 \( 2^{5}\cdot 11\cdot 193 \) $S_5$ (as 5T5) trivial
5.3.68288.1 x5 - x4 + 2x3 - 6x + 2 \( -\,2^{6}\cdot 11\cdot 97 \) $S_5$ (as 5T5) trivial
5.1.70081.1 x5 - x4 + x3 + 4x2 + x - 1 \( 11\cdot 23\cdot 277 \) $S_5$ (as 5T5) trivial
5.1.70873.1 x5 - x4 + 2x3 + 3x2 - 3x + 2 \( 11\cdot 17\cdot 379 \) $S_5$ (as 5T5) trivial
5.3.71016.1 x5 - 2x4 + 2x3 - 3x2 - x + 1 \( -\,2^{3}\cdot 3\cdot 11\cdot 269 \) $S_5$ (as 5T5) trivial
5.1.71456.1 x5 - x4 + 4x3 - 2x2 - x + 3 \( 2^{5}\cdot 7\cdot 11\cdot 29 \) $S_5$ (as 5T5) trivial
5.3.74239.1 x5 - 2x4 - x3 + 5x2 + x - 1 \( -\,11\cdot 17\cdot 397 \) $S_5$ (as 5T5) trivial
5.1.76813.1 x5 - 2x4 + x3 + 5x2 - 6x + 4 \( 11\cdot 6983 \) $S_5$ (as 5T5) trivial
5.1.78584.1 x5 - x4 - 2x3 - x2 + 4x - 2 \( 2^{3}\cdot 11\cdot 19\cdot 47 \) $S_5$ (as 5T5) trivial
5.1.79684.1 x5 - x4 + x3 + x2 - 2x - 4 \( 2^{2}\cdot 11\cdot 1811 \) $S_5$ (as 5T5) trivial
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