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Label Polynomial Discriminant Galois group Class group
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
10.0.226173952.1 x10 - x8 - 2x7 - x6 + 2x5 + 2x4 - x2 + 1 \( -\,2^{10}\cdot 220873 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.236184579.1 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
10.0.246944619.1 x10 - x9 + x6 - x5 - x4 + 3x3 - x2 - x + 1 \( -\,3^{5}\cdot 73\cdot 13921 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.260270739.1 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
10.0.262909719.1 x10 - x8 - x7 - 2x6 + 4x4 + x3 - 2x2 + 1 \( -\,3^{5}\cdot 73\cdot 14821 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.268043264.1 x10 - 2x9 + 3x8 - 6x7 + 6x6 - 6x5 + 7x4 - 4x3 + 3x2 - 2x + 1 \( -\,2^{10}\cdot 261761 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.284152779.1 x10 - x9 - 2x8 + 3x7 + 2x6 - 3x5 - 2x4 + 3x3 + x2 - 2x + 1 \( -\,3^{5}\cdot 1169353 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.293950539.1 x10 - x9 + 2x7 - 2x5 + x4 + 2x3 - 2x2 - x + 1 \( -\,3^{5}\cdot 19\cdot 63667 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.298726947.1 x10 + x8 - 2x7 + x6 - 3x5 + 4x4 - x3 + 2x2 - 3x + 1 \( -\,3^{5}\cdot 1229329 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.310466763.1 x10 - 3x9 + 5x8 - 4x7 + 2x6 - x4 + 2x3 - x2 - x + 1 \( -\,3^{5}\cdot 643\cdot 1987 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.324037827.1 x10 - 3x9 + 3x8 - x7 - 2x5 + 4x4 - 3x3 + x2 + 1 \( -\,3^{5}\cdot 1333489 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.328878387.1 x10 - x9 - 3x8 + 2x7 + 6x6 - 2x5 - 5x4 - x3 + x2 + 2x + 1 \( -\,3^{5}\cdot 379\cdot 3571 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.334491687.1 x10 - 3x9 + 6x8 - 8x7 + 10x6 - 11x5 + 13x4 - 13x3 + 9x2 - 4x + 1 \( -\,3^{5}\cdot 1376509 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.336597039.1 x10 - x9 + x7 + x6 - x5 - 2x4 + 3x3 - 2x + 1 \( -\,3^{5}\cdot 31\cdot 44683 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.337121919.1 x10 - x9 + x8 - x7 + 2x5 - x4 + x3 - x2 - x + 1 \( -\,3^{5}\cdot 307\cdot 4519 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.359802567.1 x10 - 3x9 + 7x8 - 10x7 + 14x6 - 13x5 + 12x4 - 6x3 + 5x2 - x + 1 \( -\,3^{5}\cdot 1480669 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.372491264.1 x10 - 2x9 + 2x8 - 2x6 + 2x5 - x4 + 1 \( -\,2^{10}\cdot 363761 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.381570507.1 x10 - 2x9 + 2x8 - 5x7 + 5x6 - 3x5 + 5x4 - 2x3 + 2x2 - 3x + 1 \( -\,3^{5}\cdot 151\cdot 10399 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.386017407.1 x10 - x9 + 2x8 - 4x7 + 5x6 - 5x5 + 6x4 - 5x3 + 4x2 - 3x + 1 \( -\,3^{5}\cdot 43\cdot 36943 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.388323963.1 x10 - 4x9 + 8x8 - 11x7 + 13x6 - 13x5 + 11x4 - 8x3 + 6x2 - 3x + 1 \( -\,3^{5}\cdot 127\cdot 12583 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.388496007.1 x10 - 4x9 + 8x8 - 13x7 + 17x6 - 18x5 + 17x4 - 13x3 + 8x2 - 3x + 1 \( -\,3^{5}\cdot 61\cdot 26209 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.388924659.1 x10 - 2x9 + 6x7 - 5x6 - 5x5 + 8x4 - 4x2 + x + 1 \( -\,3^{5}\cdot 571\cdot 2803 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.393584427.1 x10 - 2x9 + 4x8 - 5x7 + 3x6 - 2x5 - x4 + 2x3 - x2 + x + 1 \( -\,3^{5}\cdot 1619689 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.395567307.1 x10 - x9 - 3x8 + 5x7 + 3x6 - 8x5 + x4 + 5x3 - 2x2 - x + 1 \( -\,3^{5}\cdot 1627849 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.401836707.1 x10 - 4x9 + 10x8 - 19x7 + 28x6 - 32x5 + 30x4 - 22x3 + 12x2 - 4x + 1 \( -\,3^{5}\cdot 61\cdot 27109 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.402011667.1 x10 - 3x8 - 3x7 + 4x6 + 7x5 - 6x3 - 2x2 + 2x + 1 \( -\,3^{5}\cdot 1654369 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.402381999.1 x10 - 4x9 + 9x8 - 15x7 + 19x6 - 19x5 + 17x4 - 12x3 + 8x2 - 4x + 1 \( -\,3^{5}\cdot 1655893 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.411465339.1 x10 + x8 - 3x7 - x5 + 4x4 + 4x3 + 4x2 + 2x + 1 \( -\,3^{5}\cdot 1693273 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.412705792.1 x10 + x8 - 2x7 + x6 - 2x5 + 3x4 - 2x3 + 2x2 - 2x + 1 \( -\,2^{10}\cdot 73\cdot 5521 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.418003011.1 x10 + x8 - 2x7 - x6 - 2x5 + 2x2 + x + 1 \( -\,3^{5}\cdot 1720177 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.419790519.1 x10 - 3x9 + 4x8 - 2x7 + x6 - 3x5 + 4x4 - x3 - x2 + 1 \( -\,3^{5}\cdot 1727533 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.422161227.1 x10 - 3x9 + 7x8 - 10x7 + 10x6 - 6x5 + x4 + x3 - x2 + 1 \( -\,3^{5}\cdot 79\cdot 21991 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.423858339.1 x10 - 2x9 + 2x7 - 2x6 - 2x5 + 4x4 + 3x3 - 3x2 - x + 1 \( -\,3^{5}\cdot 1744273 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.424391967.1 x10 - x9 - 2x8 + 3x7 - 2x5 + x4 + 1 \( -\,3^{5}\cdot 181\cdot 9649 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.433766907.1 x10 - x9 - x8 + 2x7 + 2x6 - 2x5 - 3x4 + 4x3 + x2 - 3x + 1 \( -\,3^{5}\cdot 7\cdot 255007 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.437003667.1 x10 - x9 + 2x8 - x7 - x6 + x5 - 3x4 + x3 + x2 + 1 \( -\,3^{5}\cdot 19\cdot 94651 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.444182859.1 x10 - 3x9 + 4x8 - 5x6 + 4x5 + 3x4 - 7x3 + 6x2 - 3x + 1 \( -\,3^{5}\cdot 769\cdot 2377 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.449810739.1 x10 - x9 + 4x8 - 4x7 + 7x6 - 8x5 + 6x4 - 7x3 + 3x2 - x + 1 \( -\,3^{5}\cdot 7^{2}\cdot 37\cdot 1021 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.450364779.1 x10 + x8 - x7 + x6 - 3x5 + x4 + x3 + 2x2 - 3x + 1 \( -\,3^{5}\cdot 223\cdot 8311 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.451656567.1 x10 - 3x9 + 3x8 - 2x6 - x5 + 3x4 - 2x2 + x + 1 \( -\,3^{5}\cdot 1858669 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.465544192.1 x10 + 2x6 - 2x5 - 3x4 - 2x3 + 2x2 + 2x + 1 \( -\,2^{10}\cdot 29\cdot 61\cdot 257 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.473264127.1 x10 - x9 - x8 + x7 + x6 + 2x5 - 4x4 + x3 + 3x2 - 3x + 1 \( -\,3^{5}\cdot 7\cdot 278227 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.476626275.1 x10 - 2x9 + x8 + 2x6 - 5x4 + 3x3 + 4x2 - 4x + 1 \( -\,3^{5}\cdot 5^{2}\cdot 67\cdot 1171 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.488663523.1 x10 - 3x9 + 3x8 - 2x7 + 2x6 - x5 + x4 - 2x3 - x2 + 2x + 1 \( -\,3^{5}\cdot 877\cdot 2293 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.494195904.1 x10 - x9 - x8 + 2x6 + 2x5 - 2x4 - 3x3 + 2x + 1 \( -\,2^{6}\cdot 3^{5}\cdot 43\cdot 739 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.495519039.1 x10 - x9 - x8 + x7 + x6 - x5 + 2x4 - 2x3 + 1 \( -\,3^{5}\cdot 2039173 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.498152187.1 x10 - 4x9 + 9x8 - 15x7 + 19x6 - 20x5 + 16x4 - 10x3 + 6x2 - 2x + 1 \( -\,3^{5}\cdot 13\cdot 103\cdot 1531 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.504404091.1 x10 - x9 + 3x8 - 4x7 + 5x6 - 7x5 + 5x4 - 5x3 + 4x2 - x + 1 \( -\,3^{5}\cdot 37\cdot 56101 \) $S_5^2 \wr C_2$ (as 10T43) trivial
10.0.505439271.1 x10 - 3x9 + 4x8 - x7 - 2x6 + 3x5 - 5x4 + 4x3 + 2x2 - 3x + 1 \( -\,3^{5}\cdot 2079997 \) $S_5^2 \wr C_2$ (as 10T43) trivial
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