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Label Polynomial Discriminant Galois group Class group
6.2.2156544.2 x6 + 2x4 - 6x2 - 4x + 2 \( 2^{11}\cdot 3^{4}\cdot 13 \) $S_6$ (as 6T16) trivial
6.0.2217984.2 x6 + 4x4 + 8x2 + 6 \( -\,2^{11}\cdot 3\cdot 19^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.0.2725888.3 x6 - 4x4 + 22 \( -\,2^{11}\cdot 11^{3} \) $S_4\times C_2$ (as 6T11) trivial
6.2.2811904.1 x6 + 2x4 - 4x3 - 4x2 - 8x - 6 \( 2^{11}\cdot 1373 \) $S_6$ (as 6T16) trivial
6.2.3221504.2 x6 - 6x4 + 20x2 - 26 \( 2^{11}\cdot 11^{2}\cdot 13 \) $S_4\times C_2$ (as 6T11) trivial
6.2.3696640.1 x6 - 2x5 + 3x4 - 7x2 + 10x - 3 \( 2^{11}\cdot 5\cdot 19^{2} \) $S_6$ (as 6T16) trivial
6.0.3823616.1 x6 + 4x4 - 4x3 + 6x2 - 4x + 2 \( -\,2^{11}\cdot 1867 \) $S_6$ (as 6T16) trivial
6.0.3856384.1 x6 - 2x5 + x4 + 4x3 - 3x2 - 2x + 3 \( -\,2^{11}\cdot 7\cdot 269 \) $S_6$ (as 6T16) trivial
6.2.4384768.1 x6 - 2x5 - x4 + 4x3 + x2 - 2x - 3 \( 2^{11}\cdot 2141 \) $S_6$ (as 6T16) trivial
6.2.4433920.1 x6 - 2x5 + x4 - 8x3 - 5x2 - 6x - 1 \( 2^{11}\cdot 5\cdot 433 \) $S_6$ (as 6T16) trivial
6.0.4708352.1 x6 - 12x2 + 38 \( -\,2^{11}\cdot 11^{2}\cdot 19 \) $S_4\times C_2$ (as 6T11) trivial
6.2.5040128.1 x6 - 2x5 + x4 - 4x3 + 5x2 - 2x + 3 \( 2^{11}\cdot 23\cdot 107 \) $S_6$ (as 6T16) trivial
6.2.5679104.1 x6 - 2x5 - x4 + 8x3 - 3x2 - 6x + 5 \( 2^{11}\cdot 47\cdot 59 \) $S_6$ (as 6T16) trivial
6.0.5969920.1 x6 - 2x5 - x4 + 13x2 - 22x + 13 \( -\,2^{11}\cdot 5\cdot 11\cdot 53 \) $S_6$ (as 6T16) trivial
6.2.6137856.2 x6 - 2x5 + 5x4 + 7x2 + 2x - 1 \( 2^{11}\cdot 3^{4}\cdot 37 \) $S_6$ (as 6T16) trivial
6.2.6776832.1 x6 + 4x4 - 4x3 - 4x2 - 8x - 4 \( 2^{11}\cdot 3\cdot 1103 \) $S_6$ (as 6T16) trivial
6.2.7383040.1 x6 - 2x5 + x4 + 8x3 - 13x2 + 10x + 5 \( 2^{11}\cdot 5\cdot 7\cdot 103 \) $S_6$ (as 6T16) trivial
6.2.7464960.2 x6 - 6x4 + 12x2 - 10 \( 2^{11}\cdot 3^{6}\cdot 5 \) $S_4\times C_2$ (as 6T11) trivial
6.4.7591936.1 x6 - 2x5 + 3x4 + 4x3 - 11x2 - 2x + 5 \( -\,2^{11}\cdot 11\cdot 337 \) $S_6$ (as 6T16) trivial
6.2.7694336.1 x6 - 6x4 - 4x3 + 12x2 + 8x - 12 \( 2^{11}\cdot 13\cdot 17^{2} \) $S_6$ (as 6T16) trivial
6.0.8493056.1 x6 + 2x4 + 2x2 - 4x + 2 \( -\,2^{11}\cdot 11\cdot 13\cdot 29 \) $S_6$ (as 6T16) trivial
6.0.8738816.1 x6 - 2x5 + 7x4 - 16x3 + 27x2 - 30x + 17 \( -\,2^{11}\cdot 17\cdot 251 \) $S_6$ (as 6T16) trivial
6.0.8869888.1 x6 - 2x5 + 3x4 - 8x3 + 17x2 - 14x + 5 \( -\,2^{11}\cdot 61\cdot 71 \) $S_6$ (as 6T16) trivial
6.2.9676800.1 x6 - 2x4 - 4x3 + 12 \( 2^{11}\cdot 3^{3}\cdot 5^{2}\cdot 7 \) $S_6$ (as 6T16) trivial
6.2.10332160.1 x6 - 2x4 - 4x3 + 16x - 12 \( 2^{11}\cdot 5\cdot 1009 \) $S_6$ (as 6T16) trivial
6.2.12019712.2 x6 - 4x4 - 2x2 - 12x - 2 \( 2^{11}\cdot 5869 \) $S_6$ (as 6T16) trivial
6.2.12462080.2 x6 - 2x5 + x4 + 4x3 - 17x2 - 10x + 15 \( 2^{11}\cdot 5\cdot 1217 \) $S_6$ (as 6T16) trivial
6.2.12544000.3 x6 + 4x4 - 10 \( 2^{11}\cdot 5^{3}\cdot 7^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.4.12785664.1 x6 + 4x4 - 4x3 - 10x2 + 4x + 2 \( -\,2^{11}\cdot 3\cdot 2081 \) $S_6$ (as 6T16) trivial
6.2.12937216.2 x6 - 2x5 + x4 - 5x2 + 2x - 3 \( 2^{11}\cdot 6317 \) $S_6$ (as 6T16) trivial
6.2.13133824.1 x6 - 4x2 - 106 \( 2^{11}\cdot 11^{2}\cdot 53 \) $S_4\times C_2$ (as 6T11) trivial
6.2.13133824.4 x6 + 6x4 + 8x2 - 106 \( 2^{11}\cdot 11^{2}\cdot 53 \) $S_4\times C_2$ (as 6T11) trivial
6.2.13592576.2 x6 - 2x5 - 3x4 + 8x3 - 9x2 - 6x - 1 \( 2^{11}\cdot 6637 \) $S_6$ (as 6T16) trivial
6.2.14018560.1 x6 - 4x4 - 16x2 - 10 \( 2^{11}\cdot 5\cdot 37^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.2.14346240.1 x6 - 2x5 + 5x4 - 8x3 + 7x2 - 6x - 9 \( 2^{11}\cdot 3\cdot 5\cdot 467 \) $S_6$ (as 6T16) trivial
6.2.14641152.1 x6 - 2x5 - x4 + 4x3 - 7x2 + 6x - 3 \( 2^{11}\cdot 3\cdot 2383 \) $S_6$ (as 6T16) trivial
6.2.14968832.1 x6 - 2x5 + 3x4 + 8x3 - 5x2 + 2x + 3 \( 2^{11}\cdot 7309 \) $S_6$ (as 6T16) trivial
6.2.15198208.1 x6 - 2x5 + x4 + 3x2 - 14x + 5 \( 2^{11}\cdot 41\cdot 181 \) $S_6$ (as 6T16) trivial
6.0.15980544.3 x6 - 2x4 + 24x2 + 6 \( -\,2^{11}\cdot 3^{3}\cdot 17^{2} \) $S_4\times C_2$ (as 6T11) trivial
6.0.16422912.3 x6 + 6x4 - 24x2 + 22 \( -\,2^{11}\cdot 3^{6}\cdot 11 \) $S_4\times C_2$ (as 6T11) trivial
6.2.16836608.1 x6 - 2x5 - 5x4 + 7x2 + 2x - 7 \( 2^{11}\cdot 8221 \) $S_6$ (as 6T16) trivial
6.2.18081792.2 x6 - 2x5 + 3x4 - 8x3 + x2 - 6x - 3 \( 2^{11}\cdot 3^{4}\cdot 109 \) $S_6$ (as 6T16) trivial
6.0.18601984.1 x6 - 2x5 + 3x4 - 8x3 + 9x2 - 6x + 5 \( -\,2^{11}\cdot 31\cdot 293 \) $S_6$ (as 6T16) trivial
6.2.19081216.1 x6 - 2x4 - 32x2 - 154 \( 2^{11}\cdot 7\cdot 11^{3} \) $S_4\times C_2$ (as 6T11) trivial
6.2.19671040.1 x6 - 2x5 - x4 + 12x3 + 9x2 - 10x - 11 \( 2^{11}\cdot 5\cdot 17\cdot 113 \) $S_6$ (as 6T16) trivial
6.2.21440512.1 x6 - 6x4 + 36x2 - 58 \( 2^{11}\cdot 19^{2}\cdot 29 \) $S_4\times C_2$ (as 6T11) trivial
6.2.21489664.1 x6 - 4x4 - 8x3 + 16x + 22 \( 2^{11}\cdot 7\cdot 1499 \) $S_6$ (as 6T16) trivial
6.2.21702656.1 x6 - 12x3 - 6x2 + 4x + 2 \( 2^{11}\cdot 10597 \) $S_6$ (as 6T16) trivial
6.2.22423552.1 x6 - 4x4 - 4x3 - 4x2 + 8x - 4 \( 2^{11}\cdot 10949 \) $S_6$ (as 6T16) trivial
6.0.22697984.1 x6 - 2x5 + 3x4 + 8x3 + x2 + 2x + 5 \( -\,2^{11}\cdot 11083 \) $S_6$ (as 6T16) trivial
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