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Label Polynomial Discriminant Galois group Class group
5.1.2869.1 x5 - x - 1 \( 19\cdot 151 \) $S_5$ (as 5T5) trivial
5.1.3857.1 x5 - x4 + x3 - x2 + 1 \( 7\cdot 19\cdot 29 \) $S_5$ (as 5T5) trivial
5.1.16929.1 x5 - x4 + x3 + x2 + 2x + 1 \( 3^{4}\cdot 11\cdot 19 \) $S_5$ (as 5T5) trivial
5.1.19817.1 x5 - x4 + 3x3 - 2x2 + x + 1 \( 7\cdot 19\cdot 149 \) $S_5$ (as 5T5) trivial
5.1.30704.1 x5 + 3x3 - 2x2 + 3x - 2 \( 2^{4}\cdot 19\cdot 101 \) $S_5$ (as 5T5) trivial
5.1.31312.1 x5 - x4 + 2x3 - 2x2 - 2 \( 2^{4}\cdot 19\cdot 103 \) $S_5$ (as 5T5) trivial
5.1.36176.1 x5 - 2x3 - 2 \( 2^{4}\cdot 7\cdot 17\cdot 19 \) $S_5$ (as 5T5) trivial
5.1.38361.1 x5 - x4 - x3 + 3x + 1 \( 3\cdot 19\cdot 673 \) $S_5$ (as 5T5) trivial
5.3.38855.1 x5 - x4 - 3x3 + 5x2 - 1 \( -\,5\cdot 19\cdot 409 \) $S_5$ (as 5T5) trivial
5.1.42256.1 x5 - 2x4 + x3 + 4x2 - 7x + 4 \( 2^{4}\cdot 19\cdot 139 \) $S_5$ (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
5.1.45904.1 x5 - x4 - 4x2 - x - 1 \( 2^{4}\cdot 19\cdot 151 \) $S_5$ (as 5T5) trivial
5.3.47671.1 x5 - x4 + x3 - 3x + 1 \( -\,13\cdot 19\cdot 193 \) $S_5$ (as 5T5) trivial
5.3.49856.1 x5 - 4x3 - 2x2 + 5x + 2 \( -\,2^{6}\cdot 19\cdot 41 \) $S_5$ (as 5T5) trivial
5.3.51376.1 x5 - 4x3 + 2x - 2 \( -\,2^{4}\cdot 13^{2}\cdot 19 \) $S_5$ (as 5T5) trivial
5.1.51908.1 x5 + 3x3 - x2 + 2x - 3 \( 2^{2}\cdot 19\cdot 683 \) $S_5$ (as 5T5) trivial
5.1.54017.1 x5 - 2x4 + 2x3 + x2 + 2x + 1 \( 19\cdot 2843 \) $S_5$ (as 5T5) trivial
5.3.54131.1 x5 - 2x4 - 2x2 + 5x - 1 \( -\,7\cdot 11\cdot 19\cdot 37 \) $S_5$ (as 5T5) trivial
5.1.60496.1 x5 - x4 + 6x2 - 7x + 5 \( 2^{4}\cdot 19\cdot 199 \) $S_5$ (as 5T5) trivial
5.3.63688.1 x5 - x4 - 3x3 + 4x2 + 2x - 1 \( -\,2^{3}\cdot 19\cdot 419 \) $S_5$ (as 5T5) trivial
5.1.64429.1 x5 + 2x3 - x2 - x - 2 \( 19\cdot 3391 \) $S_5$ (as 5T5) trivial
5.1.65968.1 x5 - x3 - 2x2 + 2x + 2 \( 2^{4}\cdot 7\cdot 19\cdot 31 \) $S_5$ (as 5T5) trivial
5.1.67108.1 x5 - 2x4 + x3 + 5x2 - 8x + 5 \( 2^{2}\cdot 19\cdot 883 \) $S_5$ (as 5T5) trivial
5.1.68077.1 x5 - x4 + 2x3 - 4x2 + 2x - 3 \( 19\cdot 3583 \) $S_5$ (as 5T5) trivial
5.3.68571.1 x5 - x4 - x3 + x2 - 5x - 1 \( -\,3^{2}\cdot 19\cdot 401 \) $S_5$ (as 5T5) trivial
5.1.71345.1 x5 - x4 + x3 + 3x2 - 5 \( 5\cdot 19\cdot 751 \) $S_5$ (as 5T5) trivial
5.1.73264.1 x5 - x4 + 2x3 - 2x2 + 4 \( 2^{4}\cdot 19\cdot 241 \) $S_5$ (as 5T5) trivial
5.1.73397.1 x5 - x4 + 2x3 + 2x2 - x + 4 \( 19\cdot 3863 \) $S_5$ (as 5T5) trivial
5.1.74632.1 x5 + 4x3 - 3x2 + x + 1 \( 2^{3}\cdot 19\cdot 491 \) $S_5$ (as 5T5) trivial
5.1.76437.1 x5 + 2x3 - x2 + 3x - 2 \( 3^{3}\cdot 19\cdot 149 \) $S_5$ (as 5T5) trivial
5.1.77197.1 x5 - x4 + x3 + x2 + x + 2 \( 17\cdot 19\cdot 239 \) $S_5$ (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
5.1.84265.1 x5 - x4 + 2x3 - x2 - 3x - 2 \( 5\cdot 19\cdot 887 \) $S_5$ (as 5T5) trivial
5.1.86184.1 x5 - 2x4 + 2x3 - 3x2 + 3x - 3 \( 2^{3}\cdot 3^{4}\cdot 7\cdot 19 \) $S_5$ (as 5T5) trivial
5.3.87856.1 x5 - 2x3 - 4x2 + 4x + 2 \( -\,2^{4}\cdot 17^{2}\cdot 19 \) $S_5$ (as 5T5) trivial
5.1.88388.1 x5 - x4 + 3x3 + x2 + 2x + 4 \( 2^{2}\cdot 19\cdot 1163 \) $S_5$ (as 5T5) trivial
5.1.89053.1 x5 - 2x4 + 2x3 - 6x2 + 11x - 5 \( 19\cdot 43\cdot 109 \) $S_5$ (as 5T5) trivial
5.3.91219.1 x5 - x4 - x3 - x2 - x + 2 \( -\,19\cdot 4801 \) $S_5$ (as 5T5) trivial
5.1.92036.1 x5 - 3x3 - 3x2 - 1 \( 2^{2}\cdot 7\cdot 19\cdot 173 \) $S_5$ (as 5T5) trivial
5.1.93461.1 x5 - x4 + 2x3 + x - 2 \( 19\cdot 4919 \) $S_5$ (as 5T5) trivial
5.1.97489.1 x5 - x4 + 3x3 + 2x2 - 7x + 3 \( 7\cdot 19\cdot 733 \) $S_5$ (as 5T5) trivial
5.3.101099.1 x5 - x4 - x3 - 4x + 1 \( -\,17\cdot 19\cdot 313 \) $S_5$ (as 5T5) trivial
5.1.104272.1 x5 - 2x4 + 4x3 - 2x2 + 2x - 2 \( 2^{4}\cdot 7^{3}\cdot 19 \) $S_5$ (as 5T5) trivial
5.3.112651.1 x5 - 2x4 - 2x3 + 2x2 + 5x - 3 \( -\,7^{2}\cdot 11^{2}\cdot 19 \) $S_5$ (as 5T5) trivial
5.1.113924.1 x5 - 2x4 + x3 + 3x2 - 2x + 3 \( 2^{2}\cdot 19\cdot 1499 \) $S_5$ (as 5T5) trivial
5.1.114000.1 x5 - 2x4 + 6x3 - 8x2 + 4x - 4 \( 2^{4}\cdot 3\cdot 5^{3}\cdot 19 \) $S_5$ (as 5T5) trivial
5.1.115425.1 x5 - x4 - 2x3 + 3x2 + 3x - 3 \( 3^{5}\cdot 5^{2}\cdot 19 \) $S_5$ (as 5T5) trivial
5.1.117401.1 x5 + 3x3 - 2x2 + 2x + 1 \( 19\cdot 37\cdot 167 \) $S_5$ (as 5T5) trivial
5.1.117629.1 x5 - x4 + 2x3 + 3x2 - 2x + 1 \( 19\cdot 41\cdot 151 \) $S_5$ (as 5T5) trivial
5.1.124108.1 x5 - x4 + x3 + 6x2 + 8x + 3 \( 2^{2}\cdot 19\cdot 23\cdot 71 \) $S_5$ (as 5T5) trivial
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