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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 \( -\,239\cdot 24190849 \) $S_{11}$ 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
11.3.133644778349.1 x11 - 2x10 + 2x9 - 2x8 + x6 - 3x5 + 3x4 - x3 + x2 - 1 \( 401\cdot 333278749 \) $S_{11}$ Trivial
11.3.136113034225.1 x11 - 2x10 + x9 + 4x8 - 6x7 + 8x5 - 7x4 - 2x3 + 5x2 - 2x - 1 \( 5^{2}\cdot 7^{2}\cdot 83^{2}\cdot 127^{2} \) $A_{11}$ Trivial
11.5.145065457639.1 x11 - x10 - 4x9 + 7x8 + 4x7 - 9x6 - 5x5 + 2x4 + 8x3 + 2x2 - 3x - 1 \( -\,2389\cdot 2617\cdot 23203 \) $S_{11}$ Trivial
11.5.157519649831.1 x11 - x10 - x9 - x7 + x6 + 2x4 + 3x3 - 2x - 1 \( -\,19457\cdot 8095783 \) $S_{11}$ Trivial
11.5.167720394923.1 x11 - 2x10 - 3x9 + 9x8 - x7 - 13x6 + 9x5 + 7x4 - 5x3 - 1 \( -\,167720394923 \) $S_{11}$ Trivial
11.3.177546554301.1 x11 + 2x9 - 2x8 + x7 - 4x6 + x5 - x3 + 3x2 - 3x + 1 \( 3\cdot 34963\cdot 1692709 \) $S_{11}$ Trivial
11.3.233856337233.1 x11 - 4x10 + 6x9 - 5x8 + 7x6 - 9x5 + 3x4 + 4x3 - 4x2 + 3x - 1 \( 3\cdot 246941\cdot 315671 \) $S_{11}$ Trivial
11.1.275311670611.1 x11 - x - 1 \( -\,275311670611 \) $S_{11}$ Trivial
11.3.303820448000.1 x11 - 3x10 + 9x8 - 6x7 - 11x6 + 6x5 + 13x4 - 4x3 - 8x2 + 2 \( 2^{8}\cdot 5^{3}\cdot 9494389 \) $S_{11}$ Trivial
11.3.337570274092.1 x11 - 3x10 + 6x9 - 4x8 + 2x7 + 4x6 - 3x5 + x4 + 2x3 + 5x2 - 2x - 1 \( 2^{2}\cdot 89\cdot 4801\cdot 197507 \) $S_{11}$ Trivial
11.7.610429790897.1 x11 - x10 - 4x9 + x8 + 5x7 + 7x6 - 7x5 - 5x4 + 7x3 - 3x2 - x + 1 \( 610429790897 \) $S_{11}$ Trivial
11.7.808524990121.1 x11 - 2x10 - x9 + 4x8 - x7 - 5x6 - x5 + 8x4 + 3x3 - 5x2 - x + 1 \( 43\cdot 547\cdot 34374601 \) $S_{11}$ Trivial
11.3.1013364643329.1 x11 - 3x10 + 5x9 - 11x8 + 11x7 - 9x6 + 7x5 + x4 - 6x3 + 3x2 - 4x + 1 \( 3^{4}\cdot 33829\cdot 369821 \) $S_{11}$ Trivial
11.1.1461660310351.1 x11 + x9 - x8 + 3x7 + 3x6 - 6x5 + 3x4 + 5x3 - 6x2 + 5x + 1 \( -\,271^{5} \) $D_{11}$ Trivial
11.9.7530807227563.1 x11 - x10 - 6x9 + 5x8 + 10x7 - 8x6 + 5x4 - 10x3 - 2x2 + 4x + 1 \( -\,29\cdot 131\cdot 5399\cdot 367163 \) $S_{11}$ Trivial
11.9.8674315276967.1 x11 - x10 - 7x9 + 3x8 + 19x7 + 3x6 - 24x5 - 12x4 + 13x3 + 7x2 - 2x - 1 \( -\,8674315276967 \) $S_{11}$ Trivial
11.3.11239665258721.1 x11 - 2x10 + 3x9 + 2x8 - 5x7 + 16x6 - 10x5 + 10x4 + 2x3 - 3x2 + 4x - 1 \( 1831^{4} \) $\PSL(2,11)$ Trivial
11.3.11239665258721.2 x11 - 2x10 + x9 - 5x8 + 13x7 - 9x6 + x5 - 8x4 + 9x3 - 3x2 - 2x + 1 \( 1831^{4} \) $\PSL(2,11)$ Trivial
11.1.20765311670611.1 x11 + 2x - 1 \( -\,58451\cdot 355260161 \) $S_{11}$ Trivial
11.1.34522712143931.1 x11 - 11x8 + 44x5 + 33x4 + 44x3 - 11 \( -\,11^{13} \) $F_{11}$ Trivial
11.1.37013238967296.1 x11 + 4x - 4 \( -\,2^{10}\cdot 3\cdot 59\cdot 97\cdot 397\cdot 5303 \) $S_{11}$ Trivial
11.11.41426511213649.1 x11 - x10 - 10x9 + 9x8 + 36x7 - 28x6 - 56x5 + 35x4 + 35x3 - 15x2 - 6x + 1 \( 23^{10} \) $C_{11}$ Trivial
11.11.48706494267293.1 x11 - 3x10 - 8x9 + 28x8 + 15x7 - 87x6 + 16x5 + 95x4 - 51x3 - 17x2 + 13x - 1 \( 421\cdot 115692385433 \) $S_{11}$ Trivial
11.1.53339349076992.1 x11 - 3x10 + 11x9 - 21x8 + 36x7 - 38x6 + 32x5 - 2x4 - 17x3 + 37x2 - 23x + 15 \( -\,2^{10}\cdot 3^{5}\cdot 11^{8} \) $F_{11}$ Trivial
11.11.55029067682009.1 x11 - x10 - 11x9 + 9x8 + 41x7 - 24x6 - 60x5 + 16x4 + 34x3 + 2x2 - 5x - 1 \( 55029067682009 \) $S_{11}$ Trivial
11.1.72100355223951.1 x11 - 3x10 + 8x8 + 3x7 - 42x6 + 61x5 - 21x4 - 33x3 + 45x2 + 9x - 27 \( -\,3^{5}\cdot 197^{5} \) $D_{11}$ Trivial
11.1.73029787676416.1 x11 - 4x - 8 \( -\,2^{8}\cdot 16651\cdot 17132461 \) $S_{11}$ Trivial
11.1.77265229938688.1 x11 - 4x10 + 6x9 + 2x8 - 14x7 + 10x6 + 7x5 - 16x4 + 2x3 + 8x2 - x - 8 \( -\,2^{15}\cdot 11^{9} \) $F_{11}$ Trivial
11.1.93851287159343.1 x11 - 5x10 + 13x9 - 22x8 + 32x7 - 44x6 + 47x5 - 30x4 + 11x3 + 6x2 - 21x + 17 \( -\,7^{5}\cdot 89^{5} \) $D_{11}$ Trivial
11.1.118098000000000.1 x11 - 2x10 + 4x9 - 10x8 + 8x7 - 16x6 + 12x5 - 12x4 + 15x3 - 14x2 + 4x - 8 \( -\,2^{10}\cdot 3^{10}\cdot 5^{9} \) $S_{11}$ Trivial

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