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Label Polynomial Discriminant Galois group Class group
11.1.5781612911.1 x11 - 2x10 + 2x9 - 3x8 + 6x7 - 8x6 + 7x5 - 7x4 + 7x3 - 6x2 + 3x - 1 \( -\,239\cdot 24190849 \) $S_{11}$ (as 11T8) Trivial
11.1.5807103943.1 x11 - x10 - x9 + 3x8 - 4x6 + 2x5 + 2x4 - 3x3 + x - 1 \( -\,269\cdot 359\cdot 60133 \) $S_{11}$ (as 11T8) Trivial
11.1.5901091967.1 x11 - 2x10 + x9 + 3x8 - 5x7 + 2x6 + 4x5 - 6x4 + 2x3 + 3x2 - 3x + 1 \( -\,5901091967 \) $S_{11}$ (as 11T8) Trivial
11.1.5939843699.1 x11 + x9 - 2x8 - 2x7 - x6 + 3x4 + x3 + x2 - 1 \( -\,12917\cdot 459847 \) $S_{11}$ (as 11T8) Trivial
11.1.5960386319.1 x11 - x10 + x9 - 2x7 + x6 - 2x5 + x3 + x + 1 \( -\,64661\cdot 92179 \) $S_{11}$ (as 11T8) Trivial
11.1.5999947987.1 x11 - 2x10 + x9 + 3x8 - 5x7 + x6 + 5x5 - 5x4 + x3 + 2x2 - 2x + 1 \( -\,11^{2}\cdot 49586347 \) $S_{11}$ (as 11T8) Trivial
11.1.6046447999.1 x11 + 3x9 - 2x8 + 4x7 - 5x6 + 5x5 - 6x4 + 4x3 - 4x2 + 2x - 1 \( -\,163\cdot 37094773 \) $S_{11}$ (as 11T8) Trivial
11.1.6205948139.1 x11 - x9 - x8 + 2x7 + 2x6 - x5 - 2x4 + 2x2 - 1 \( -\,6205948139 \) $S_{11}$ (as 11T8) Trivial
11.1.6477690799.1 x11 - x10 + 3x9 - 4x8 + 6x7 - 7x6 + 8x5 - 8x4 + 6x3 - 5x2 + 3x - 1 \( -\,1609\cdot 4025911 \) $S_{11}$ (as 11T8) Trivial
11.1.6660072199.1 x11 - x9 - x8 - x5 + x4 + 3x3 + x2 - x - 1 \( -\,11^{2}\cdot 181\cdot 304099 \) $S_{11}$ (as 11T8) Trivial
11.1.9824914719.1 x11 - x10 - x9 + 4x8 - 3x7 - x6 + 5x5 - 5x4 + x3 + 2x2 - 2x + 1 \( -\,3^{2}\cdot 131\cdot 8333261 \) $S_{11}$ (as 11T8) Trivial
11.1.12696946299.1 x11 - 2x10 + 3x9 - 3x8 + 3x7 - 3x6 + 5x5 - 9x4 + 11x3 - 8x2 + 4x - 1 \( -\,3^{2}\cdot 15731\cdot 89681 \) $S_{11}$ (as 11T8) Trivial
11.3.24963663301.1 x11 - 2x8 + 4x4 - x3 - 3x2 + x + 1 \( 971\cdot 25709231 \) $S_{11}$ (as 11T8) Trivial
11.3.26176773577.1 x11 - x9 - x8 - 2x7 + 2x5 + 3x4 - 2x2 + 1 \( 14851\cdot 1762627 \) $S_{11}$ (as 11T8) Trivial
11.1.26277078939.1 x11 - x10 + x8 - 4x7 + 2x6 + x5 - 3x4 + 5x3 - 3x2 + x - 1 \( -\,3\cdot 23\cdot 107\cdot 227\cdot 15679 \) $S_{11}$ (as 11T8) Trivial
11.3.26877166541.1 x11 - x9 - x8 - 2x7 + x5 + 2x4 + 2x3 - 1 \( 1583\cdot 2731\cdot 6217 \) $S_{11}$ (as 11T8) Trivial
11.3.27095385033.1 x11 - 2x9 - x7 - x6 + 4x5 + x4 - 2x - 1 \( 3^{3}\cdot 1003532779 \) $S_{11}$ (as 11T8) Trivial
11.3.27252765193.1 x11 - 2x8 - x7 + x6 + x5 - x4 - 2x3 + x2 + 2x + 1 \( 1559\cdot 17480927 \) $S_{11}$ (as 11T8) Trivial
11.3.28208540809.1 x11 - x10 + x9 - 3x5 + x4 - 2x2 + x + 1 \( 28208540809 \) $S_{11}$ (as 11T8) Trivial
11.3.28385393161.1 x11 - x10 + 2x9 - x7 + 2x6 - x5 - x4 + x3 - x2 - x + 1 \( 28385393161 \) $S_{11}$ (as 11T8) Trivial
11.3.28868429753.1 x11 - x9 - x6 - x5 + x4 - x3 + 2x - 1 \( 163\cdot 177106931 \) $S_{11}$ (as 11T8) Trivial
11.3.32252418553.1 x11 - 4x10 + 9x9 - 15x8 + 21x7 - 21x6 + 17x5 - 8x4 + 3x2 - 3x + 1 \( 61\cdot 227\cdot 397\cdot 5867 \) $S_{11}$ (as 11T8) Trivial
11.3.64283038681.1 x11 - x10 - 5x9 + 3x8 + 10x7 - 3x6 - 11x5 + 3x4 + 5x3 - 2x2 + 1 \( 71^{2}\cdot 3571^{2} \) $A_{11}$ (as 11T7) Trivial
11.3.66355073541.1 x11 - 5x9 - x8 + 7x7 + 4x6 - x5 - 5x4 - 2x3 + 2x2 - 1 \( 3^{2}\cdot 7372785949 \) $S_{11}$ (as 11T8) Trivial
11.3.118125032125.1 x11 - 2x10 + x9 + 4x8 - 6x7 + 2x6 + 5x5 - 5x4 + 3x2 - 3x + 1 \( 5^{3}\cdot 73\cdot 139\cdot 93131 \) $S_{11}$ (as 11T8) Trivial
11.3.121321855232.1 x11 + 2x9 - x8 - x7 + 2x6 - 4x5 + 2x4 - 2x3 - 2x2 + 2x - 1 \( 2^{8}\cdot 2927\cdot 161911 \) $S_{11}$ (as 11T8) Trivial
11.3.127663872125.1 x11 - 3x10 + x9 + 3x8 + 2x7 - 3x6 - 6x5 - 2x4 + 6x3 + 4x2 - x - 1 \( 5^{3}\cdot 131\cdot 1297\cdot 6011 \) $S_{11}$ (as 11T8) Trivial
11.1.129891985607.1 x11 - x10 + 5x9 - 4x8 + 10x7 - 6x6 + 11x5 - 7x4 + 9x3 - 4x2 + 2x + 1 \( -\,167^{5} \) $D_{11}$ (as 11T2) Trivial
11.5.132326332471.1 x11 - 2x10 + 2x7 + x6 - 3x5 + 2x2 + x - 1 \( -\,211441\cdot 625831 \) $S_{11}$ (as 11T8) Trivial
11.3.133644778349.1 x11 - 2x10 + 2x9 - 2x8 + x6 - 3x5 + 3x4 - x3 + x2 - 1 \( 401\cdot 333278749 \) $S_{11}$ (as 11T8) Trivial
11.3.136113034225.1 x11 - 2x10 + x9 + 4x8 - 6x7 + 8x5 - 7x4 - 2x3 + 5x2 - 2x - 1 \( 5^{2}\cdot 7^{2}\cdot 83^{2}\cdot 127^{2} \) $A_{11}$ (as 11T7) Trivial
11.5.145065457639.1 x11 - x10 - 4x9 + 7x8 + 4x7 - 9x6 - 5x5 + 2x4 + 8x3 + 2x2 - 3x - 1 \( -\,2389\cdot 2617\cdot 23203 \) $S_{11}$ (as 11T8) Trivial
11.5.157519649831.1 x11 - x10 - x9 - x7 + x6 + 2x4 + 3x3 - 2x - 1 \( -\,19457\cdot 8095783 \) $S_{11}$ (as 11T8) Trivial
11.5.167050542839.1 x11 - 2x10 + 2x9 - 3x7 + x6 - x5 + 2x + 1 \( -\,2089\cdot 79966751 \) $S_{11}$ (as 11T8) Trivial
11.5.167720394923.1 x11 - 2x10 - 3x9 + 9x8 - x7 - 13x6 + 9x5 + 7x4 - 5x3 - 1 \( -\,167720394923 \) $S_{11}$ (as 11T8) Trivial
11.3.177546554301.1 x11 + 2x9 - 2x8 + x7 - 4x6 + x5 - x3 + 3x2 - 3x + 1 \( 3\cdot 34963\cdot 1692709 \) $S_{11}$ (as 11T8) Trivial
11.5.200601609583.1 x11 + x9 - 2x7 - x6 - 3x5 + x4 + x3 + x2 + x - 1 \( -\,200601609583 \) $S_{11}$ (as 11T8) Trivial
11.3.233856337233.1 x11 - 4x10 + 6x9 - 5x8 + 7x6 - 9x5 + 3x4 + 4x3 - 4x2 + 3x - 1 \( 3\cdot 246941\cdot 315671 \) $S_{11}$ (as 11T8) Trivial
11.5.234360387559.1 x11 + x9 - 2x8 - x7 - x5 - x3 + 2x2 + x - 1 \( -\,71\cdot 3300850529 \) $S_{11}$ (as 11T8) Trivial
11.5.236131740703.1 x11 - x10 - 2x9 + 2x8 - x7 + 2x5 - x4 + x3 + x2 - 1 \( -\,372881\cdot 633263 \) $S_{11}$ (as 11T8) Trivial
11.5.248686333151.1 x11 - 2x9 - x7 - x6 + 2x3 + x + 1 \( -\,2381\cdot 104446171 \) $S_{11}$ (as 11T8) Trivial
11.1.275311670611.1 x11 - x - 1 \( -\,275311670611 \) $S_{11}$ (as 11T8) Trivial
11.3.303820448000.1 x11 - 3x10 + 9x8 - 6x7 - 11x6 + 6x5 + 13x4 - 4x3 - 8x2 + 2 \( 2^{8}\cdot 5^{3}\cdot 9494389 \) $S_{11}$ (as 11T8) Trivial
11.3.337570274092.1 x11 - 3x10 + 6x9 - 4x8 + 2x7 + 4x6 - 3x5 + x4 + 2x3 + 5x2 - 2x - 1 \( 2^{2}\cdot 89\cdot 4801\cdot 197507 \) $S_{11}$ (as 11T8) Trivial
11.7.610429790897.1 x11 - x10 - 4x9 + x8 + 5x7 + 7x6 - 7x5 - 5x4 + 7x3 - 3x2 - x + 1 \( 610429790897 \) $S_{11}$ (as 11T8) Trivial
11.7.808524990121.1 x11 - 2x10 - x9 + 4x8 - x7 - 5x6 - x5 + 8x4 + 3x3 - 5x2 - x + 1 \( 43\cdot 547\cdot 34374601 \) $S_{11}$ (as 11T8) Trivial
11.7.835929782249.1 x11 - x10 - x9 - 3x7 + 4x6 + 2x5 + x4 + 4x3 - 6x2 - 3x + 1 \( 56509\cdot 14792861 \) $S_{11}$ (as 11T8) Trivial
11.3.836463893056.1 x11 - x9 + x7 - x6 + 2x5 + x4 - 2x3 - x - 1 \( 2^{6}\cdot 11^{2}\cdot 19^{2}\cdot 547^{2} \) $A_{11}$ (as 11T7) Trivial
11.3.1013364643329.1 x11 - 3x10 + 5x9 - 11x8 + 11x7 - 9x6 + 7x5 + x4 - 6x3 + 3x2 - 4x + 1 \( 3^{4}\cdot 33829\cdot 369821 \) $S_{11}$ (as 11T8) Trivial
11.7.1135258109569.1 x11 - 2x10 - x9 + 5x8 - 3x7 - 2x6 - 3x5 + 3x4 + 11x3 - 5x2 - 4x + 1 \( 71\cdot 73\cdot 219034943 \) $S_{11}$ (as 11T8) Trivial

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