Note: Search results may be incomplete due to uncomputed quantities: Class number (201181 objects)
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Results (6 matches)
Download displayed columns for resultsLabel | Polynomial | Discriminant | Galois group | Class group |
---|---|---|---|---|
11.9.7530807227563.1 | $x^{11} - x^{10} - 6 x^{9} + 5 x^{8} + 10 x^{7} - 8 x^{6} + 5 x^{4} - 10 x^{3} - 2 x^{2} + 4 x + 1$ | $-\,29\cdot 131\cdot 5399\cdot 367163$ | $S_{11}$ (as 11T8) | trivial |
11.9.8674315276967.1 | $x^{11} - x^{10} - 7 x^{9} + 3 x^{8} + 19 x^{7} + 3 x^{6} - 24 x^{5} - 12 x^{4} + 13 x^{3} + 7 x^{2} - 2 x - 1$ | $-\,8674315276967$ | $S_{11}$ (as 11T8) | trivial |
11.9.8692675390643.1 | $x^{11} - 3 x^{10} - x^{9} + 6 x^{8} + x^{7} + 4 x^{6} - 8 x^{5} - 14 x^{4} + 9 x^{3} + 7 x^{2} - 2 x - 1$ | $-\,151\cdot 2311\cdot 24910163$ | $S_{11}$ (as 11T8) | trivial |
11.9.10298992926983.1 | $x^{11} - 3 x^{10} - 3 x^{9} + 16 x^{8} - 6 x^{7} - 26 x^{6} + 27 x^{5} + 11 x^{4} - 24 x^{3} + 2 x^{2} + 5 x - 1$ | $-\,10298992926983$ | $S_{11}$ (as 11T8) | trivial |
11.9.17524013040643.1 | $x^{11} - 3 x^{10} - x^{9} + 7 x^{8} - 2 x^{7} + 4 x^{6} - 2 x^{5} - 16 x^{4} + 4 x^{3} + 9 x^{2} - x - 1$ | $-\,17524013040643$ | $S_{11}$ (as 11T8) | trivial |
11.9.31015897276291.1 | $x^{11} - 3 x^{10} - x^{9} + 7 x^{8} - 8 x^{7} + 6 x^{6} + 13 x^{5} - 17 x^{4} - 7 x^{3} + 8 x^{2} + x - 1$ | $-\,31015897276291$ | $S_{11}$ (as 11T8) | trivial |