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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
10.0.215067767.1 x10 - x9 - x8 + 2x7 + x6 - 3x5 + 3x3 - x2 - x + 1 \( -\,215067767 \) $S_{10}$ (as 10T45) Trivial
10.0.216670707.1 x10 - 3x9 + 5x8 - 6x7 + 6x6 - 4x5 + 2x4 - x3 + x2 - x + 1 \( -\,3^{5}\cdot 11^{2}\cdot 7369 \) $S_5^2 \wr C_2$ (as 10T43) Trivial
10.0.220168975.1 x10 - x9 - x8 + 2x7 - x6 - x5 + 4x4 - x3 - 3x2 + x + 1 \( -\,5^{2}\cdot 13^{2}\cdot 31\cdot 41^{2} \) $C_2 \wr S_5$ (as 10T39) Trivial
10.0.220506347.1 x10 - 3x9 + 5x8 - 5x7 + 3x6 - x4 + x3 - x + 1 \( -\,37\cdot 677\cdot 8803 \) $S_{10}$ (as 10T45) 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
10.0.224415603.1 x10 + 2x8 - 3x7 + 3x6 - 7x5 + 8x4 - 7x3 + 7x2 - 4x + 1 \( -\,3^{5}\cdot 31^{4} \) $D_5\times C_5$ (as 10T6) Trivial
10.0.226173952.1 x10 - x8 - 2x7 - x6 + 2x5 + 2x4 - x2 + 1 \( -\,2^{10}\cdot 220873 \) $S_5^2 \wr C_2$ (as 10T43) 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
10.0.227991979.1 x10 - x9 - x8 + 3x7 - x6 - 3x5 + 3x4 + x3 - 2x2 + 1 \( -\,599\cdot 380621 \) $S_{10}$ (as 10T45) Trivial
10.0.229203619.1 x10 - x9 + 2x8 - 3x7 + 4x6 - 4x5 + 4x4 - 4x3 + 3x2 - 2x + 1 \( -\,229203619 \) $S_{10}$ (as 10T45) Trivial
10.0.229345007.1 x10 - x9 + 6x8 - 3x7 + 11x6 - 3x5 + 11x4 - 3x3 + 6x2 - x + 1 \( -\,47^{5} \) $D_5$ (as 10T2) Trivial
10.0.233043179.1 x10 - x9 + 2x8 - 4x7 + 4x6 - 5x5 + 5x4 - 4x3 + 3x2 - x + 1 \( -\,97\cdot 463\cdot 5189 \) $S_{10}$ (as 10T45) Trivial
10.0.236184579.1 x10 - 3x9 + 5x8 - 7x7 + 7x6 - 6x5 + 4x4 - 2x3 + x2 + 1 \( -\,3^{5}\cdot 37\cdot 109\cdot 241 \) $S_5^2 \wr C_2$ (as 10T43) Trivial
10.0.236438047.1 x10 - 2x9 + x8 + 2x7 - 3x6 + x5 + x4 - x + 1 \( -\,236438047 \) $S_{10}$ (as 10T45) Trivial
10.0.240232739.1 x10 - 2x9 + 2x8 - 2x6 + 4x5 - 4x4 + x3 + 3x2 - 3x + 1 \( -\,467\cdot 514417 \) $S_{10}$ (as 10T45) Trivial
10.0.243226747.1 x10 - 3x9 + 4x8 - 3x7 + 2x6 - x5 + x4 - 2x3 + 3x2 - 2x + 1 \( -\,243226747 \) $S_{10}$ (as 10T45) Trivial
10.0.243415027.1 x10 - x7 + x6 + 2x5 - x3 - 2x2 + 1 \( -\,17\cdot 14318531 \) $S_{10}$ (as 10T45) Trivial
10.0.244175707.1 x10 - x9 + x7 - x6 - x4 + x3 + x2 - x + 1 \( -\,19^{2}\cdot 676387 \) $S_{10}$ (as 10T45) Trivial
10.0.246071287.1 x10 - 3x9 + 7x8 - 12x7 + 15x6 - 15x5 + 12x4 - 7x3 + 4x2 - 2x + 1 \( -\,7^{5}\cdot 11^{4} \) $D_5\times C_5$ (as 10T6) Trivial
10.0.246944619.1 x10 - x9 + x6 - x5 - x4 + 3x3 - x2 - x + 1 \( -\,3^{5}\cdot 73\cdot 13921 \) $S_5^2 \wr C_2$ (as 10T43) Trivial
10.0.250679267.1 x10 - x9 - 2x8 + x7 + 3x6 - 2x4 - 2x3 + 2x + 1 \( -\,250679267 \) $S_{10}$ (as 10T45) Trivial
10.0.252486127.1 x10 - x9 + 2x8 - 4x7 + 4x6 - 4x5 + 5x4 - 3x3 + 2x2 - 2x + 1 \( -\,787\cdot 320821 \) $S_{10}$ (as 10T45) Trivial
10.0.254121139.1 x10 - 2x8 - x7 + 2x6 + 3x5 - 3x3 - x2 + x + 1 \( -\,149\cdot 991\cdot 1721 \) $S_{10}$ (as 10T45) Trivial
10.0.260270739.1 x10 - x8 - 2x7 + x6 + 3x5 - 2x4 - 4x3 + x2 + 3x + 1 \( -\,3^{5}\cdot 163\cdot 6571 \) $S_5^2 \wr C_2$ (as 10T43) 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
10.0.262477979.1 x10 - x9 + x8 - 2x6 + x5 - x4 + x2 + 1 \( -\,251\cdot 1045729 \) $S_{10}$ (as 10T45) Trivial
10.0.262864627.1 x10 - 2x8 - x7 + x6 + 2x5 - x4 - 2x3 + x2 + x + 1 \( -\,353\cdot 744659 \) $S_{10}$ (as 10T45) Trivial
10.0.262909719.1 x10 - x8 - x7 - 2x6 + 4x4 + x3 - 2x2 + 1 \( -\,3^{5}\cdot 73\cdot 14821 \) $S_5^2 \wr C_2$ (as 10T43) 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
10.0.268043264.1 x10 - 2x9 + 3x8 - 6x7 + 6x6 - 6x5 + 7x4 - 4x3 + 3x2 - 2x + 1 \( -\,2^{10}\cdot 261761 \) $S_5^2 \wr C_2$ (as 10T43) Trivial
10.0.274127275.1 x10 - x9 + x8 - 3x7 + 3x6 - x5 + 3x4 - 3x3 + 1 \( -\,5^{2}\cdot 59\cdot 185849 \) $S_{10}$ (as 10T45) Trivial
10.0.274550779.1 x10 - x9 + 2x8 - 2x7 + 3x6 - 3x5 + 3x4 - 3x3 + 2x2 - 2x + 1 \( -\,19\cdot 14450041 \) $S_{10}$ (as 10T45) 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
10.0.278005859.1 x10 - x9 - x8 + 4x7 - 2x6 - 3x5 + 4x4 - 2x2 + 1 \( -\,278005859 \) $S_{10}$ (as 10T45) Trivial
10.0.278645219.1 x10 + 3x8 - x7 + 4x6 - x5 + 4x4 + 2x2 + 1 \( -\,317\cdot 879007 \) $S_{10}$ (as 10T45) Trivial
10.0.281268947.1 x10 + 3x8 - x7 + 4x6 - x5 + 4x4 - x3 + 2x2 - x + 1 \( -\,281268947 \) $S_{10}$ (as 10T45) Trivial
10.0.282748447.1 x10 - x9 - 2x8 + 3x7 + 2x6 - 5x5 + x4 + 4x3 - 2x2 - x + 1 \( -\,282748447 \) $S_{10}$ (as 10T45) Trivial
10.0.283885691.1 x10 - x9 + 2x8 - 4x7 + 3x6 - 4x5 + 3x4 - 2x3 + 2x2 + 1 \( -\,8941\cdot 31751 \) $S_{10}$ (as 10T45) Trivial
10.0.284152779.1 x10 - x9 - 2x8 + 3x7 + 2x6 - 3x5 - 2x4 + 3x3 + x2 - 2x + 1 \( -\,3^{5}\cdot 1169353 \) $S_5^2 \wr C_2$ (as 10T43) Trivial
10.0.285267739.1 x10 - x9 + x8 - x7 - x5 + 3x4 - 4x3 + 4x2 - 2x + 1 \( -\,285267739 \) $S_{10}$ (as 10T45) Trivial
10.0.288806267.1 x10 - x9 - x8 + 2x7 - x5 + x3 - x + 1 \( -\,1321\cdot 218627 \) $S_{10}$ (as 10T45) Trivial
10.0.290432899.1 x10 - 3x8 - x7 + 4x6 + 3x5 - 2x4 - 4x3 + 2x + 1 \( -\,89\cdot 3263291 \) $S_{10}$ (as 10T45) Trivial
10.0.290491759.1 x10 - 3x9 + 5x8 - 5x7 + 5x6 - 6x5 + 6x4 - 3x3 + x2 - x + 1 \( -\,290491759 \) $S_{10}$ (as 10T45) 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
10.0.291458939.1 x10 - x9 + 2x8 - 2x6 + 3x5 - 3x4 + 2x2 - 2x + 1 \( -\,197\cdot 1479487 \) $S_{10}$ (as 10T45) Trivial
10.0.292693979.1 x10 - 3x9 + 4x8 - 3x7 + 3x6 - 4x5 + 3x4 - x + 1 \( -\,127\cdot 239\cdot 9643 \) $S_{10}$ (as 10T45) Trivial
10.0.293025059.1 x10 - 2x9 + 3x8 - 4x7 + 5x6 - 6x5 + 8x4 - 8x3 + 6x2 - 3x + 1 \( -\,293025059 \) $S_{10}$ (as 10T45) Trivial
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