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Results: (displaying matches 1-20 of 1401)

Label Polynomial Discriminant Galois group Class group
11.1.5781612911.1 x11 - 2x10 + 2x9 - 3x8 + 6x7 - 8x6 + 7x5 - 7x4 + 7x3 - 6x2 + 3x - 1 \( -\,239\cdot 24190849 \) $S_{11}$ Trivial
11.1.5807103943.1 x11 - x10 - x9 + 3x8 - 4x6 + 2x5 + 2x4 - 3x3 + x - 1 \( -\,269\cdot 359\cdot 60133 \) $S_{11}$ Trivial
11.1.5901091967.1 x11 - 2x10 + x9 + 3x8 - 5x7 + 2x6 + 4x5 - 6x4 + 2x3 + 3x2 - 3x + 1 \( -\,5901091967 \) $S_{11}$ Trivial
11.1.5939843699.1 x11 + x9 - 2x8 - 2x7 - x6 + 3x4 + x3 + x2 - 1 \( -\,12917\cdot 459847 \) $S_{11}$ Trivial
11.1.5960386319.1 x11 - x10 + x9 - 2x7 + x6 - 2x5 + x3 + x + 1 \( -\,64661\cdot 92179 \) $S_{11}$ Trivial
11.1.5999947987.1 x11 - 2x10 + x9 + 3x8 - 5x7 + x6 + 5x5 - 5x4 + x3 + 2x2 - 2x + 1 \( -\,11^{2}\cdot 49586347 \) $S_{11}$ Trivial
11.1.6046447999.1 x11 + 3x9 - 2x8 + 4x7 - 5x6 + 5x5 - 6x4 + 4x3 - 4x2 + 2x - 1 \( -\,163\cdot 37094773 \) $S_{11}$ Trivial
11.1.9824914719.1 x11 - x10 - x9 + 4x8 - 3x7 - x6 + 5x5 - 5x4 + x3 + 2x2 - 2x + 1 \( -\,3^{2}\cdot 131\cdot 8333261 \) $S_{11}$ Trivial
11.1.12696946299.1 x11 - 2x10 + 3x9 - 3x8 + 3x7 - 3x6 + 5x5 - 9x4 + 11x3 - 8x2 + 4x - 1 \( -\,3^{2}\cdot 15731\cdot 89681 \) $S_{11}$ Trivial
11.3.24963663301.1 x11 - 2x8 + 4x4 - x3 - 3x2 + x + 1 \( 971\cdot 25709231 \) $S_{11}$ Trivial
11.3.26176773577.1 x11 - x9 - x8 - 2x7 + 2x5 + 3x4 - 2x2 + 1 \( 14851\cdot 1762627 \) $S_{11}$ Trivial
11.1.26277078939.1 x11 - x10 + x8 - 4x7 + 2x6 + x5 - 3x4 + 5x3 - 3x2 + x - 1 \( -\,3\cdot 23\cdot 107\cdot 227\cdot 15679 \) $S_{11}$ Trivial
11.3.32252418553.1 x11 - 4x10 + 9x9 - 15x8 + 21x7 - 21x6 + 17x5 - 8x4 + 3x2 - 3x + 1 \( 61\cdot 227\cdot 397\cdot 5867 \) $S_{11}$ Trivial
11.3.64283038681.1 x11 - x10 - 5x9 + 3x8 + 10x7 - 3x6 - 11x5 + 3x4 + 5x3 - 2x2 + 1 \( 71^{2}\cdot 3571^{2} \) $A_{11}$ Trivial
11.3.66355073541.1 x11 - 5x9 - x8 + 7x7 + 4x6 - x5 - 5x4 - 2x3 + 2x2 - 1 \( 3^{2}\cdot 7372785949 \) $S_{11}$ Trivial
11.3.118125032125.1 x11 - 2x10 + x9 + 4x8 - 6x7 + 2x6 + 5x5 - 5x4 + 3x2 - 3x + 1 \( 5^{3}\cdot 73\cdot 139\cdot 93131 \) $S_{11}$ Trivial
11.3.121321855232.1 x11 + 2x9 - x8 - x7 + 2x6 - 4x5 + 2x4 - 2x3 - 2x2 + 2x - 1 \( 2^{8}\cdot 2927\cdot 161911 \) $S_{11}$ Trivial
11.3.127663872125.1 x11 - 3x10 + x9 + 3x8 + 2x7 - 3x6 - 6x5 - 2x4 + 6x3 + 4x2 - x - 1 \( 5^{3}\cdot 131\cdot 1297\cdot 6011 \) $S_{11}$ Trivial
11.1.129891985607.1 x11 - x10 + 5x9 - 4x8 + 10x7 - 6x6 + 11x5 - 7x4 + 9x3 - 4x2 + 2x + 1 \( -\,167^{5} \) $D_{11}$ Trivial
11.5.132326332471.1 x11 - 2x10 + 2x7 + x6 - 3x5 + 2x2 + x - 1 \( -\,211441\cdot 625831 \) $S_{11}$ Trivial

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