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Label Polynomial Discriminant Galois group Class group
10.0.209352647.1 x10 - 3x9 + 7x8 - 11x7 + 13x6 - 12x5 + 9x4 - 5x3 + 3x2 - 2x + 1 \( -\,7^{2}\cdot 23\cdot 431^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.212309359.1 x10 - 3x9 + 5x8 - 7x7 + 9x6 - 10x5 + 9x4 - 7x3 + 5x2 - 2x + 1 \( -\,31\cdot 2617^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.214816879.1 x10 - 2x9 + 4x8 - 7x7 + 9x6 - 10x5 + 10x4 - 8x3 + 6x2 - 3x + 1 \( -\,17^{2}\cdot 79\cdot 97^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.220168975.1 x10 - x9 - x8 + 2x7 - x6 - x5 + 4x4 - x3 - 3x2 + x + 1 \( -\,5^{2}\cdot 13^{2}\cdot 31\cdot 41^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.224198759.1 x10 - x9 - 2x8 + 4x7 - 4x5 + 3x4 + x3 - 2x2 + 1 \( -\,71\cdot 1777^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.226876987.1 x10 - 2x9 + 3x8 - 3x7 + 2x6 + x5 - x4 - 3x3 + 6x2 - 4x + 1 \( -\,43\cdot 2297^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.262091507.1 x10 - x9 - 2x6 + 3x5 + 3x4 - 4x3 - 2x2 + 2x + 1 \( -\,83\cdot 1777^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.263786699.1 x10 - 2x9 + 2x8 - 2x7 + 4x6 - 5x5 + 4x4 - 2x3 + 3x2 - 3x + 1 \( -\,11\cdot 59^{2}\cdot 83^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.277010267.1 x10 - 2x9 + x8 + 2x7 - 3x6 + 3x5 - 2x4 + 3x2 - 3x + 1 \( -\,107\cdot 1609^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.290954507.1 x10 - x9 + 2x8 + 2x7 - x6 + 4x5 + 4x4 + 2x2 + 3x + 1 \( -\,17^{2}\cdot 97^{2}\cdot 107 \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.325246087.1 x10 - 3x9 + 6x8 - 10x7 + 13x6 - 13x5 + 11x4 - 8x3 + 5x2 - 2x + 1 \( -\,103\cdot 1777^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.328787887.1 x10 - 2x9 + 3x8 - 3x7 + 5x6 - 6x5 + 3x4 - 3x3 + 3x2 - x + 1 \( -\,127\cdot 1609^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.328787887.2 x10 - 2x9 + 3x6 - x5 - x4 - 2x3 + 2x2 + 1 \( -\,127\cdot 1609^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.330230659.1 x10 - x9 + x8 + 2x7 - 3x6 + 2x5 - 2x3 + x2 - x + 1 \( -\,11^{2}\cdot 19\cdot 379^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.339143411.1 x10 - 3x9 + 5x8 - 6x7 + 6x6 - 4x5 + x4 + 2x3 - 2x2 + 1 \( -\,131\cdot 1609^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.359854459.1 x10 - 3x9 + 6x8 - 9x7 + 11x6 - 10x5 + 8x4 - 5x3 + 3x2 - 2x + 1 \( -\,139\cdot 1609^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.364067099.1 x10 - x9 - 2x6 + x5 + 2x4 - 2x3 + 3x2 - 2x + 1 \( -\,11^{3}\cdot 523^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.370209983.1 x10 + 2x8 + 3x6 - x5 + 3x4 + 2x2 + 1 \( -\,11\cdot 13\cdot 1609^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.377968939.1 x10 - 2x9 + 4x8 - 5x7 + 5x6 - 6x5 + 7x4 - 4x3 + 3x2 - 3x + 1 \( -\,17^{2}\cdot 97^{2}\cdot 139 \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.379908823.1 x10 + x8 - x7 - x5 - x3 + x2 + 1 \( -\,7\cdot 53^{2}\cdot 139^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.386633299.1 x10 - x9 + 2x8 - 2x7 + 2x6 - 3x5 + 2x4 - 2x3 + 2x2 - x + 1 \( -\,13^{2}\cdot 19\cdot 347^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.386864567.1 x10 - x9 + 3x8 - x7 + 4x6 + 5x4 + x3 + 3x2 + x + 1 \( -\,19^{2}\cdot 47\cdot 151^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.432343127.1 x10 - 3x9 + 5x8 - 5x7 + 5x6 - 6x5 + 7x4 - 5x3 + 3x2 - 2x + 1 \( -\,167\cdot 1609^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.437865967.1 x10 - x9 - x8 + 2x7 + 2x6 - 5x5 + 2x4 + 2x3 - x2 - x + 1 \( -\,7\cdot 11^{2}\cdot 719^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.437925347.1 x10 - 3x9 + 6x8 - 10x7 + 14x6 - 15x5 + 14x4 - 10x3 + 6x2 - 3x + 1 \( -\,83\cdot 2297^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.440866291.1 x10 - x9 + x8 - 3x7 + 3x6 - x5 + 3x4 - 3x3 + x2 - x + 1 \( -\,19\cdot 4817^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.443229763.1 x10 - 3x9 + 4x8 - 4x7 + 4x6 - 5x4 + 4x3 - x + 1 \( -\,17^{2}\cdot 97^{2}\cdot 163 \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.449448427.1 x10 - 2x9 + 2x8 - 3x7 + 8x6 - 11x5 + 8x4 - 3x3 + 2x2 - 2x + 1 \( -\,43\cdot 53^{2}\cdot 61^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.454106567.1 x10 - 2x9 + 2x8 - x7 + 2x6 - 3x5 + x4 + 2x3 - x2 - x + 1 \( -\,17^{2}\cdot 97^{2}\cdot 167 \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.476322007.1 x10 - x9 - 2x8 + 4x7 + x6 - 5x5 + x4 + 4x3 - x2 - 2x + 1 \( -\,7\cdot 73^{2}\cdot 113^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.484120747.1 x10 - x9 + x8 - x7 + x6 - 4x5 + 3x4 - x3 + x + 1 \( -\,11\cdot 17\cdot 1609^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.484176016.1 x10 - x8 + x6 + 2x2 + 1 \( -\,2^{4}\cdot 5501^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.485605687.1 x10 - 3x9 + 5x8 - 6x7 + 7x6 - 7x5 + 6x4 - 5x3 + 4x2 - 2x + 1 \( -\,7\cdot 8329^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.486045407.1 x10 - x9 + 2x8 - 4x7 + 5x6 - 6x5 + 7x4 - 6x3 + 5x2 - 3x + 1 \( -\,23\cdot 4597^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.486736979.1 x10 - 2x9 + 3x8 - 4x7 + 7x6 - 10x5 + 9x4 - 4x3 + x2 - x + 1 \( -\,17^{2}\cdot 97^{2}\cdot 179 \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.486736979.2 x10 - 2x9 - 2x8 + 4x7 + 4x6 - 4x5 - 4x4 + x3 + x2 + x + 1 \( -\,17^{2}\cdot 97^{2}\cdot 179 \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.501239855.1 x10 - x9 - x8 + x7 + x5 + x4 - 2x3 - x2 + x + 1 \( -\,5\cdot 19\cdot 2297^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.508490587.1 x10 + 2x8 - x7 + 4x6 - x5 + 4x4 - x3 + 2x2 + 1 \( -\,11\cdot 17^{3}\cdot 97^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.514709827.1 x10 - 4x9 + 9x8 - 14x7 + 16x6 - 13x5 + 8x4 - 4x3 + 2x2 - x + 1 \( -\,163\cdot 1777^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.526794304.1 x10 - 4x9 + 8x8 - 9x7 + 8x6 - 8x5 + 8x4 - 4x3 + x2 - x + 1 \( -\,2^{6}\cdot 19^{2}\cdot 151^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.526794304.2 x10 + 3x6 - x4 + 4x2 + 1 \( -\,2^{6}\cdot 19^{2}\cdot 151^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.530439175.1 x10 - x9 + x7 + x6 - 3x5 + x4 + x3 - x + 1 \( -\,5^{2}\cdot 7\cdot 1741^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.546253891.1 x10 - 2x9 + 2x8 - x7 - 2x6 + 2x5 - 2x3 + 4x2 - 2x + 1 \( -\,211\cdot 1609^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.552906407.1 x10 - x9 + 2x8 - 3x7 + 3x6 - 3x5 + 3x4 - 3x3 + 2x2 - x + 1 \( -\,23\cdot 4903^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.562874607.1 x10 - 4x9 + 8x8 - 11x7 + 14x6 - 15x5 + 11x4 - 4x3 + x2 - x + 1 \( -\,3^{2}\cdot 17^{2}\cdot 23\cdot 97^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.562973339.1 x10 - x9 + 3x8 - 2x7 + 6x6 - 3x5 + 6x4 - 2x3 + 4x2 + 1 \( -\,59\cdot 3089^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.587675987.1 x10 - 2x8 + 2x6 - x5 - 2x4 - x3 + x2 + 2x + 1 \( -\,227\cdot 1609^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.590495323.1 x10 - x9 + 2x8 - 2x7 + 2x6 - 3x5 + 3x4 - 4x3 + 4x2 - 2x + 1 \( -\,11\cdot 17\cdot 1777^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.592440064.1 x10 - x9 + 3x8 - 4x7 + 5x6 - 7x5 + 7x4 - 6x3 + 5x2 - 3x + 1 \( -\,2^{8}\cdot 19\cdot 349^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
10.0.621349399.1 x10 - x9 - x8 + 3x6 - 2x5 - 3x4 + 4x3 - x + 1 \( -\,11^{4}\cdot 31\cdot 37^{2} \) $C_2 \wr S_5$ (as 10T39) trivial
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