Note: Search results may be incomplete due to uncomputed quantities: Class number (201181 objects)
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Label | Polynomial | Discriminant | Galois group | Class group |
---|---|---|---|---|
11.1.5781612911.1 | $x^{11} - 2 x^{10} + 2 x^{9} - 3 x^{8} + 6 x^{7} - 8 x^{6} + 7 x^{5} - 7 x^{4} + 7 x^{3} - 6 x^{2} + 3 x - 1$ | $-\,239\cdot 24190849$ | $S_{11}$ (as 11T8) | trivial |
11.1.5807103943.1 | $x^{11} - x^{10} - x^{9} + 3 x^{8} - 4 x^{6} + 2 x^{5} + 2 x^{4} - 3 x^{3} + x - 1$ | $-\,269\cdot 359\cdot 60133$ | $S_{11}$ (as 11T8) | trivial |
11.1.5901091967.1 | $x^{11} - 2 x^{10} + x^{9} + 3 x^{8} - 5 x^{7} + 2 x^{6} + 4 x^{5} - 6 x^{4} + 2 x^{3} + 3 x^{2} - 3 x + 1$ | $-\,5901091967$ | $S_{11}$ (as 11T8) | trivial |
11.1.5939843699.1 | $x^{11} + x^{9} - 2 x^{8} - 2 x^{7} - x^{6} + 3 x^{4} + x^{3} + x^{2} - 1$ | $-\,12917\cdot 459847$ | $S_{11}$ (as 11T8) | trivial |
11.1.5960386319.1 | $x^{11} - x^{10} + x^{9} - 2 x^{7} + x^{6} - 2 x^{5} + x^{3} + x + 1$ | $-\,64661\cdot 92179$ | $S_{11}$ (as 11T8) | trivial |
11.1.5999947987.1 | $x^{11} - 2 x^{10} + x^{9} + 3 x^{8} - 5 x^{7} + x^{6} + 5 x^{5} - 5 x^{4} + x^{3} + 2 x^{2} - 2 x + 1$ | $-\,11^{2}\cdot 49586347$ | $S_{11}$ (as 11T8) | trivial |
11.1.6046447999.1 | $x^{11} + 3 x^{9} - 2 x^{8} + 4 x^{7} - 5 x^{6} + 5 x^{5} - 6 x^{4} + 4 x^{3} - 4 x^{2} + 2 x - 1$ | $-\,163\cdot 37094773$ | $S_{11}$ (as 11T8) | trivial |
11.1.6205948139.1 | $x^{11} - x^{9} - x^{8} + 2 x^{7} + 2 x^{6} - x^{5} - 2 x^{4} + 2 x^{2} - 1$ | $-\,6205948139$ | $S_{11}$ (as 11T8) | trivial |
11.1.6477690799.1 | $x^{11} - x^{10} + 3 x^{9} - 4 x^{8} + 6 x^{7} - 7 x^{6} + 8 x^{5} - 8 x^{4} + 6 x^{3} - 5 x^{2} + 3 x - 1$ | $-\,1609\cdot 4025911$ | $S_{11}$ (as 11T8) | trivial |
11.1.6660072199.1 | $x^{11} - x^{9} - x^{8} - x^{5} + x^{4} + 3 x^{3} + x^{2} - x - 1$ | $-\,11^{2}\cdot 181\cdot 304099$ | $S_{11}$ (as 11T8) | trivial |
11.1.9824914719.1 | $x^{11} - x^{10} - x^{9} + 4 x^{8} - 3 x^{7} - x^{6} + 5 x^{5} - 5 x^{4} + x^{3} + 2 x^{2} - 2 x + 1$ | $-\,3^{2}\cdot 131\cdot 8333261$ | $S_{11}$ (as 11T8) | trivial |
11.1.12696946299.1 | $x^{11} - 2 x^{10} + 3 x^{9} - 3 x^{8} + 3 x^{7} - 3 x^{6} + 5 x^{5} - 9 x^{4} + 11 x^{3} - 8 x^{2} + 4 x - 1$ | $-\,3^{2}\cdot 15731\cdot 89681$ | $S_{11}$ (as 11T8) | trivial |
11.3.24963663301.1 | $x^{11} - 2 x^{8} + 4 x^{4} - x^{3} - 3 x^{2} + x + 1$ | $971\cdot 25709231$ | $S_{11}$ (as 11T8) | trivial |
11.3.26176773577.1 | $x^{11} - x^{9} - x^{8} - 2 x^{7} + 2 x^{5} + 3 x^{4} - 2 x^{2} + 1$ | $14851\cdot 1762627$ | $S_{11}$ (as 11T8) | trivial |
11.1.26277078939.1 | $x^{11} - x^{10} + x^{8} - 4 x^{7} + 2 x^{6} + x^{5} - 3 x^{4} + 5 x^{3} - 3 x^{2} + x - 1$ | $-\,3\cdot 23\cdot 107\cdot 227\cdot 15679$ | $S_{11}$ (as 11T8) | trivial |
11.3.26877166541.1 | $x^{11} - x^{9} - x^{8} - 2 x^{7} + x^{5} + 2 x^{4} + 2 x^{3} - 1$ | $1583\cdot 2731\cdot 6217$ | $S_{11}$ (as 11T8) | trivial |
11.3.27095385033.1 | $x^{11} - 2 x^{9} - x^{7} - x^{6} + 4 x^{5} + x^{4} - 2 x - 1$ | $3^{3}\cdot 1003532779$ | $S_{11}$ (as 11T8) | trivial |
11.3.27252765193.1 | $x^{11} - 2 x^{8} - x^{7} + x^{6} + x^{5} - x^{4} - 2 x^{3} + x^{2} + 2 x + 1$ | $1559\cdot 17480927$ | $S_{11}$ (as 11T8) | trivial |
11.3.28208540809.1 | $x^{11} - x^{10} + x^{9} - 3 x^{5} + x^{4} - 2 x^{2} + x + 1$ | $28208540809$ | $S_{11}$ (as 11T8) | trivial |
11.3.28385393161.1 | $x^{11} - x^{10} + 2 x^{9} - x^{7} + 2 x^{6} - x^{5} - x^{4} + x^{3} - x^{2} - x + 1$ | $28385393161$ | $S_{11}$ (as 11T8) | trivial |
11.3.28868429753.1 | $x^{11} - x^{9} - x^{6} - x^{5} + x^{4} - x^{3} + 2 x - 1$ | $163\cdot 177106931$ | $S_{11}$ (as 11T8) | trivial |
11.3.32252418553.1 | $x^{11} - 4 x^{10} + 9 x^{9} - 15 x^{8} + 21 x^{7} - 21 x^{6} + 17 x^{5} - 8 x^{4} + 3 x^{2} - 3 x + 1$ | $61\cdot 227\cdot 397\cdot 5867$ | $S_{11}$ (as 11T8) | trivial |
11.3.64283038681.1 | $x^{11} - x^{10} - 5 x^{9} + 3 x^{8} + 10 x^{7} - 3 x^{6} - 11 x^{5} + 3 x^{4} + 5 x^{3} - 2 x^{2} + 1$ | $71^{2}\cdot 3571^{2}$ | $A_{11}$ (as 11T7) | trivial |
11.3.66355073541.1 | $x^{11} - 5 x^{9} - x^{8} + 7 x^{7} + 4 x^{6} - x^{5} - 5 x^{4} - 2 x^{3} + 2 x^{2} - 1$ | $3^{2}\cdot 7372785949$ | $S_{11}$ (as 11T8) | trivial |
11.3.118125032125.1 | $x^{11} - 2 x^{10} + x^{9} + 4 x^{8} - 6 x^{7} + 2 x^{6} + 5 x^{5} - 5 x^{4} + 3 x^{2} - 3 x + 1$ | $5^{3}\cdot 73\cdot 139\cdot 93131$ | $S_{11}$ (as 11T8) | trivial |
11.3.121321855232.1 | $x^{11} + 2 x^{9} - x^{8} - x^{7} + 2 x^{6} - 4 x^{5} + 2 x^{4} - 2 x^{3} - 2 x^{2} + 2 x - 1$ | $2^{8}\cdot 2927\cdot 161911$ | $S_{11}$ (as 11T8) | trivial |
11.3.127663872125.1 | $x^{11} - 3 x^{10} + x^{9} + 3 x^{8} + 2 x^{7} - 3 x^{6} - 6 x^{5} - 2 x^{4} + 6 x^{3} + 4 x^{2} - x - 1$ | $5^{3}\cdot 131\cdot 1297\cdot 6011$ | $S_{11}$ (as 11T8) | trivial |
11.1.129891985607.1 | $x^{11} - x^{10} + 5 x^{9} - 4 x^{8} + 10 x^{7} - 6 x^{6} + 11 x^{5} - 7 x^{4} + 9 x^{3} - 4 x^{2} + 2 x + 1$ | $-\,167^{5}$ | $D_{11}$ (as 11T2) | trivial |
11.5.132326332471.1 | $x^{11} - 2 x^{10} + 2 x^{7} + x^{6} - 3 x^{5} + 2 x^{2} + x - 1$ | $-\,211441\cdot 625831$ | $S_{11}$ (as 11T8) | trivial |
11.3.133644778349.1 | $x^{11} - 2 x^{10} + 2 x^{9} - 2 x^{8} + x^{6} - 3 x^{5} + 3 x^{4} - x^{3} + x^{2} - 1$ | $401\cdot 333278749$ | $S_{11}$ (as 11T8) | trivial |
11.3.136113034225.1 | $x^{11} - 2 x^{10} + x^{9} + 4 x^{8} - 6 x^{7} + 8 x^{5} - 7 x^{4} - 2 x^{3} + 5 x^{2} - 2 x - 1$ | $5^{2}\cdot 7^{2}\cdot 83^{2}\cdot 127^{2}$ | $A_{11}$ (as 11T7) | trivial |
11.5.145065457639.1 | $x^{11} - x^{10} - 4 x^{9} + 7 x^{8} + 4 x^{7} - 9 x^{6} - 5 x^{5} + 2 x^{4} + 8 x^{3} + 2 x^{2} - 3 x - 1$ | $-\,2389\cdot 2617\cdot 23203$ | $S_{11}$ (as 11T8) | trivial |
11.5.157519649831.1 | $x^{11} - x^{10} - x^{9} - x^{7} + x^{6} + 2 x^{4} + 3 x^{3} - 2 x - 1$ | $-\,19457\cdot 8095783$ | $S_{11}$ (as 11T8) | trivial |
11.5.167050542839.1 | $x^{11} - 2 x^{10} + 2 x^{9} - 3 x^{7} + x^{6} - x^{5} + 2 x + 1$ | $-\,2089\cdot 79966751$ | $S_{11}$ (as 11T8) | trivial |
11.5.167720394923.1 | $x^{11} - 2 x^{10} - 3 x^{9} + 9 x^{8} - x^{7} - 13 x^{6} + 9 x^{5} + 7 x^{4} - 5 x^{3} - 1$ | $-\,167720394923$ | $S_{11}$ (as 11T8) | trivial |
11.3.177546554301.1 | $x^{11} + 2 x^{9} - 2 x^{8} + x^{7} - 4 x^{6} + x^{5} - x^{3} + 3 x^{2} - 3 x + 1$ | $3\cdot 34963\cdot 1692709$ | $S_{11}$ (as 11T8) | trivial |
11.5.200601609583.1 | $x^{11} + x^{9} - 2 x^{7} - x^{6} - 3 x^{5} + x^{4} + x^{3} + x^{2} + x - 1$ | $-\,200601609583$ | $S_{11}$ (as 11T8) | trivial |
11.3.233856337233.1 | $x^{11} - 4 x^{10} + 6 x^{9} - 5 x^{8} + 7 x^{6} - 9 x^{5} + 3 x^{4} + 4 x^{3} - 4 x^{2} + 3 x - 1$ | $3\cdot 246941\cdot 315671$ | $S_{11}$ (as 11T8) | trivial |
11.5.234360387559.1 | $x^{11} + x^{9} - 2 x^{8} - x^{7} - x^{5} - x^{3} + 2 x^{2} + x - 1$ | $-\,71\cdot 3300850529$ | $S_{11}$ (as 11T8) | trivial |
11.5.236131740703.1 | $x^{11} - x^{10} - 2 x^{9} + 2 x^{8} - x^{7} + 2 x^{5} - x^{4} + x^{3} + x^{2} - 1$ | $-\,372881\cdot 633263$ | $S_{11}$ (as 11T8) | trivial |
11.5.248686333151.1 | $x^{11} - 2 x^{9} - x^{7} - x^{6} + 2 x^{3} + x + 1$ | $-\,2381\cdot 104446171$ | $S_{11}$ (as 11T8) | trivial |
11.1.275311670611.1 | $x^{11} - x - 1$ | $-\,275311670611$ | $S_{11}$ (as 11T8) | trivial |
11.3.303820448000.1 | $x^{11} - 3 x^{10} + 9 x^{8} - 6 x^{7} - 11 x^{6} + 6 x^{5} + 13 x^{4} - 4 x^{3} - 8 x^{2} + 2$ | $2^{8}\cdot 5^{3}\cdot 9494389$ | $S_{11}$ (as 11T8) | trivial |
11.3.337570274092.1 | $x^{11} - 3 x^{10} + 6 x^{9} - 4 x^{8} + 2 x^{7} + 4 x^{6} - 3 x^{5} + x^{4} + 2 x^{3} + 5 x^{2} - 2 x - 1$ | $2^{2}\cdot 89\cdot 4801\cdot 197507$ | $S_{11}$ (as 11T8) | trivial |
11.7.610429790897.1 | $x^{11} - x^{10} - 4 x^{9} + x^{8} + 5 x^{7} + 7 x^{6} - 7 x^{5} - 5 x^{4} + 7 x^{3} - 3 x^{2} - x + 1$ | $610429790897$ | $S_{11}$ (as 11T8) | trivial |
11.7.808524990121.1 | $x^{11} - 2 x^{10} - x^{9} + 4 x^{8} - x^{7} - 5 x^{6} - x^{5} + 8 x^{4} + 3 x^{3} - 5 x^{2} - x + 1$ | $43\cdot 547\cdot 34374601$ | $S_{11}$ (as 11T8) | trivial |
11.7.835929782249.1 | $x^{11} - x^{10} - x^{9} - 3 x^{7} + 4 x^{6} + 2 x^{5} + x^{4} + 4 x^{3} - 6 x^{2} - 3 x + 1$ | $56509\cdot 14792861$ | $S_{11}$ (as 11T8) | trivial |
11.3.836463893056.1 | $x^{11} - x^{9} + x^{7} - x^{6} + 2 x^{5} + x^{4} - 2 x^{3} - x - 1$ | $2^{6}\cdot 11^{2}\cdot 19^{2}\cdot 547^{2}$ | $A_{11}$ (as 11T7) | trivial |
11.3.1013364643329.1 | $x^{11} - 3 x^{10} + 5 x^{9} - 11 x^{8} + 11 x^{7} - 9 x^{6} + 7 x^{5} + x^{4} - 6 x^{3} + 3 x^{2} - 4 x + 1$ | $3^{4}\cdot 33829\cdot 369821$ | $S_{11}$ (as 11T8) | trivial |
11.7.1135258109569.1 | $x^{11} - 2 x^{10} - x^{9} + 5 x^{8} - 3 x^{7} - 2 x^{6} - 3 x^{5} + 3 x^{4} + 11 x^{3} - 5 x^{2} - 4 x + 1$ | $71\cdot 73\cdot 219034943$ | $S_{11}$ (as 11T8) | trivial |