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Results: (displaying matches 1-20 of 110162)

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
10.0.216670707.1 x10 - 3x9 + 5x8 - 6x7 + 6x6 - 4x5 + 2x4 - x3 + x2 - x + 1 \( -\,3^{5}\cdot 11^{2}\cdot 7369 \) 10T43 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
10.0.229345007.1 x10 - x9 + 6x8 - 3x7 + 11x6 - 3x5 + 11x4 - 3x3 + 6x2 - x + 1 \( -\,47^{5} \) $D_5$ 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
10.0.306454347.1 x10 - x8 - 2x7 + 2x6 + 2x5 + 2x4 - 3x3 - x + 1 \( -\,3^{5}\cdot 1123^{2} \) $S_5\times C_2$ Trivial
10.0.379908823.1 x10 + x8 - x7 - x5 - x3 + x2 + 1 \( -\,7\cdot 53^{2}\cdot 139^{2} \) 10T39 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
10.0.400000000.1 x10 - 4x9 + 9x8 - 14x7 + 15x6 - 10x5 + 3x4 + 2x3 - 2x2 + 1 \( -\,2^{10}\cdot 5^{8} \) $D_5\times C_5$ Trivial
10.0.405013523.1 x10 - 2x9 + x8 - x7 + 2x6 - 3x5 + 3x4 - 3x3 + 4x2 - 2x + 1 \( -\,47^{4}\cdot 83 \) 10T23 Trivial
10.0.522125867.1 x10 - x9 - x7 + 2x6 - 2x5 + x3 + 2x2 - 2x + 1 \( -\,47^{4}\cdot 107 \) 10T23 Trivial
10.0.561163315.1 x10 - x9 + 2x8 - 2x7 + 4x6 - 3x5 + 4x4 - 2x3 + 2x2 - x + 1 \( -\,5\cdot 23\cdot 47^{4} \) 10T23 Trivial
10.0.593019904.1 x10 - 4x9 + 8x8 - 10x7 + 9x6 - 6x5 + 3x4 - x2 + 1 \( -\,2^{10}\cdot 761^{2} \) 10T21 Trivial
10.0.596683827.1 x10 - x9 - x8 + 3x7 + x6 - 3x5 + x4 + 3x3 - x2 - x + 1 \( -\,3^{5}\cdot 1567^{2} \) $S_5\times C_2$ Trivial
10.0.629098083.1 x10 + x8 - 2x7 - 2x5 + 2x4 - x3 + 2x2 - x + 1 \( -\,3^{5}\cdot 1609^{2} \) $S_5\times C_2$ Trivial
10.0.660765843.1 x10 - x9 + x8 - 2x7 + 2x6 - x5 + 2x4 - x3 - x + 1 \( -\,3^{5}\cdot 17^{2}\cdot 97^{2} \) $S_5\times C_2$ Trivial

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