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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 \( -\,7^{2}\cdot 23\cdot 431^{2} \) 10T39 Trivial
10.0.212309359.1 x10 - 3x9 + 5x8 - 7x7 + 9x6 - 10x5 + 9x4 - 7x3 + 5x2 - 2x + 1 \( -\,31\cdot 2617^{2} \) 10T39 Trivial
10.0.214816879.1 x10 - 2x9 + 4x8 - 7x7 + 9x6 - 10x5 + 10x4 - 8x3 + 6x2 - 3x + 1 \( -\,17^{2}\cdot 79\cdot 97^{2} \) 10T39 Trivial
10.0.216670707.1 x10 - 3x9 + 5x8 - 6x7 + 6x6 - 4x5 + 2x4 - x3 + x2 - x + 1 \( -\,3^{5}\cdot 11^{2}\cdot 7369 \) 10T43 Trivial
10.0.220168975.1 x10 - x9 - x8 + 2x7 - x6 - x5 + 4x4 - x3 - 3x2 + x + 1 \( -\,5^{2}\cdot 13^{2}\cdot 31\cdot 41^{2} \) 10T39 Trivial
10.0.224198759.1 x10 - x9 - 2x8 + 4x7 - 4x5 + 3x4 + x3 - 2x2 + 1 \( -\,71\cdot 1777^{2} \) 10T39 Trivial
10.0.224415603.1 x10 + 2x8 - 3x7 + 3x6 - 7x5 + 8x4 - 7x3 + 7x2 - 4x + 1 \( -\,3^{5}\cdot 31^{4} \) $D_5\times C_5$ Trivial
10.0.226173952.1 x10 - x8 - 2x7 - x6 + 2x5 + 2x4 - x2 + 1 \( -\,2^{10}\cdot 220873 \) 10T43 Trivial
10.0.226876987.1 x10 - 2x9 + 3x8 - 3x7 + 2x6 + x5 - x4 - 3x3 + 6x2 - 4x + 1 \( -\,43\cdot 2297^{2} \) 10T39 Trivial
10.0.229345007.1 x10 - x9 + 6x8 - 3x7 + 11x6 - 3x5 + 11x4 - 3x3 + 6x2 - x + 1 \( -\,47^{5} \) $D_5$ Trivial
10.0.236184579.1 x10 - 3x9 + 5x8 - 7x7 + 7x6 - 6x5 + 4x4 - 2x3 + x2 + 1 \( -\,3^{5}\cdot 37\cdot 109\cdot 241 \) 10T43 Trivial
10.0.236438047.1 x10 - 2x9 + x8 + 2x7 - 3x6 + x5 + x4 - x + 1 \( -\,236438047 \) $S_{10}$ Trivial
10.0.240232739.1 x10 - 2x9 + 2x8 - 2x6 + 4x5 - 4x4 + x3 + 3x2 - 3x + 1 \( -\,467\cdot 514417 \) $S_{10}$ Trivial
10.0.246071287.1 x10 - 3x9 + 7x8 - 12x7 + 15x6 - 15x5 + 12x4 - 7x3 + 4x2 - 2x + 1 \( -\,7^{5}\cdot 11^{4} \) $D_5\times C_5$ Trivial
10.0.246944619.1 x10 - x9 + x6 - x5 - x4 + 3x3 - x2 - x + 1 \( -\,3^{5}\cdot 73\cdot 13921 \) 10T43 Trivial
10.0.260270739.1 x10 - x8 - 2x7 + x6 + 3x5 - 2x4 - 4x3 + x2 + 3x + 1 \( -\,3^{5}\cdot 163\cdot 6571 \) 10T43 Trivial
10.0.262091507.1 x10 - x9 - 2x6 + 3x5 + 3x4 - 4x3 - 2x2 + 2x + 1 \( -\,83\cdot 1777^{2} \) 10T39 Trivial
10.0.262909719.1 x10 - x8 - x7 - 2x6 + 4x4 + x3 - 2x2 + 1 \( -\,3^{5}\cdot 73\cdot 14821 \) 10T43 Trivial
10.0.263786699.1 x10 - 2x9 + 2x8 - 2x7 + 4x6 - 5x5 + 4x4 - 2x3 + 3x2 - 3x + 1 \( -\,11\cdot 59^{2}\cdot 83^{2} \) 10T39 Trivial
10.0.268043264.1 x10 - 2x9 + 3x8 - 6x7 + 6x6 - 6x5 + 7x4 - 4x3 + 3x2 - 2x + 1 \( -\,2^{10}\cdot 261761 \) 10T43 Trivial
10.0.277010267.1 x10 - 2x9 + x8 + 2x7 - 3x6 + 3x5 - 2x4 + 3x2 - 3x + 1 \( -\,107\cdot 1609^{2} \) 10T39 Trivial
10.0.284152779.1 x10 - x9 - 2x8 + 3x7 + 2x6 - 3x5 - 2x4 + 3x3 + x2 - 2x + 1 \( -\,3^{5}\cdot 1169353 \) 10T43 Trivial
10.0.290954507.1 x10 - x9 + 2x8 + 2x7 - x6 + 4x5 + 4x4 + 2x2 + 3x + 1 \( -\,17^{2}\cdot 97^{2}\cdot 107 \) 10T39 Trivial
10.0.293950539.1 x10 - x9 + 2x7 - 2x5 + x4 + 2x3 - 2x2 - x + 1 \( -\,3^{5}\cdot 19\cdot 63667 \) 10T43 Trivial
10.0.298726947.1 x10 + x8 - 2x7 + x6 - 3x5 + 4x4 - x3 + 2x2 - 3x + 1 \( -\,3^{5}\cdot 1229329 \) 10T43 Trivial
10.0.306454347.1 x10 - x8 - 2x7 + 2x6 + 2x5 + 2x4 - 3x3 - x + 1 \( -\,3^{5}\cdot 1123^{2} \) $S_5\times C_2$ Trivial
10.0.310466763.1 x10 - 3x9 + 5x8 - 4x7 + 2x6 - x4 + 2x3 - x2 - x + 1 \( -\,3^{5}\cdot 643\cdot 1987 \) 10T43 Trivial
10.0.324037827.1 x10 - 3x9 + 3x8 - x7 - 2x5 + 4x4 - 3x3 + x2 + 1 \( -\,3^{5}\cdot 1333489 \) 10T43 Trivial
10.0.325246087.1 x10 - 3x9 + 6x8 - 10x7 + 13x6 - 13x5 + 11x4 - 8x3 + 5x2 - 2x + 1 \( -\,103\cdot 1777^{2} \) 10T39 Trivial
10.0.328787887.1 x10 - 2x9 + 3x8 - 3x7 + 5x6 - 6x5 + 3x4 - 3x3 + 3x2 - x + 1 \( -\,127\cdot 1609^{2} \) 10T39 Trivial
10.0.328787887.2 x10 - 2x9 + 3x6 - x5 - x4 - 2x3 + 2x2 + 1 \( -\,127\cdot 1609^{2} \) 10T39 Trivial
10.0.328878387.1 x10 - x9 - 3x8 + 2x7 + 6x6 - 2x5 - 5x4 - x3 + x2 + 2x + 1 \( -\,3^{5}\cdot 379\cdot 3571 \) 10T43 Trivial
10.0.330230659.1 x10 - x9 + x8 + 2x7 - 3x6 + 2x5 - 2x3 + x2 - x + 1 \( -\,11^{2}\cdot 19\cdot 379^{2} \) 10T39 Trivial
10.0.334491687.1 x10 - 3x9 + 6x8 - 8x7 + 10x6 - 11x5 + 13x4 - 13x3 + 9x2 - 4x + 1 \( -\,3^{5}\cdot 1376509 \) 10T43 Trivial
10.0.336597039.1 x10 - x9 + x7 + x6 - x5 - 2x4 + 3x3 - 2x + 1 \( -\,3^{5}\cdot 31\cdot 44683 \) 10T43 Trivial
10.0.337121919.1 x10 - x9 + x8 - x7 + 2x5 - x4 + x3 - x2 - x + 1 \( -\,3^{5}\cdot 307\cdot 4519 \) 10T43 Trivial
10.0.339143411.1 x10 - 3x9 + 5x8 - 6x7 + 6x6 - 4x5 + x4 + 2x3 - 2x2 + 1 \( -\,131\cdot 1609^{2} \) 10T39 Trivial
10.0.359802567.1 x10 - 3x9 + 7x8 - 10x7 + 14x6 - 13x5 + 12x4 - 6x3 + 5x2 - x + 1 \( -\,3^{5}\cdot 1480669 \) 10T43 Trivial
10.0.359854459.1 x10 - 3x9 + 6x8 - 9x7 + 11x6 - 10x5 + 8x4 - 5x3 + 3x2 - 2x + 1 \( -\,139\cdot 1609^{2} \) 10T39 Trivial
10.0.364067099.1 x10 - x9 - 2x6 + x5 + 2x4 - 2x3 + 3x2 - 2x + 1 \( -\,11^{3}\cdot 523^{2} \) 10T39 Trivial
10.0.370209983.1 x10 + 2x8 + 3x6 - x5 + 3x4 + 2x2 + 1 \( -\,11\cdot 13\cdot 1609^{2} \) 10T39 Trivial
10.0.372491264.1 x10 - 2x9 + 2x8 - 2x6 + 2x5 - x4 + 1 \( -\,2^{10}\cdot 363761 \) 10T43 Trivial
10.0.377968939.1 x10 - 2x9 + 4x8 - 5x7 + 5x6 - 6x5 + 7x4 - 4x3 + 3x2 - 3x + 1 \( -\,17^{2}\cdot 97^{2}\cdot 139 \) 10T39 Trivial
10.0.379908823.1 x10 + x8 - x7 - x5 - x3 + x2 + 1 \( -\,7\cdot 53^{2}\cdot 139^{2} \) 10T39 Trivial
10.0.381570507.1 x10 - 2x9 + 2x8 - 5x7 + 5x6 - 3x5 + 5x4 - 2x3 + 2x2 - 3x + 1 \( -\,3^{5}\cdot 151\cdot 10399 \) 10T43 Trivial
10.0.386017407.1 x10 - x9 + 2x8 - 4x7 + 5x6 - 5x5 + 6x4 - 5x3 + 4x2 - 3x + 1 \( -\,3^{5}\cdot 43\cdot 36943 \) 10T43 Trivial
10.0.386633299.1 x10 - x9 + 2x8 - 2x7 + 2x6 - 3x5 + 2x4 - 2x3 + 2x2 - x + 1 \( -\,13^{2}\cdot 19\cdot 347^{2} \) 10T39 Trivial
10.0.386864567.1 x10 - x9 + 3x8 - x7 + 4x6 + 5x4 + x3 + 3x2 + x + 1 \( -\,19^{2}\cdot 47\cdot 151^{2} \) 10T39 Trivial
10.0.388323963.1 x10 - 4x9 + 8x8 - 11x7 + 13x6 - 13x5 + 11x4 - 8x3 + 6x2 - 3x + 1 \( -\,3^{5}\cdot 127\cdot 12583 \) 10T43 Trivial
10.0.388496007.1 x10 - 4x9 + 8x8 - 13x7 + 17x6 - 18x5 + 17x4 - 13x3 + 8x2 - 3x + 1 \( -\,3^{5}\cdot 61\cdot 26209 \) 10T43 Trivial

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