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Results (3 matches)
Download displayed columns for resultsLabel | Polynomial | Discriminant | Galois group | Class group |
---|---|---|---|---|
15.5.8565893077528823.1 | $x^{15} - 6 x^{13} + 9 x^{11} - 18 x^{10} + x^{9} + 32 x^{8} - 17 x^{7} - 19 x^{6} + 24 x^{5} + 3 x^{4} - 15 x^{3} + 3 x^{2} + 4 x - 1$ | $-\,23^{5}\cdot 191^{4}$ | $C_5\wr S_3$ (as 15T32) | trivial |
15.5.982108001708984375.1 | $x^{15} - 4 x^{13} - 11 x^{12} + 9 x^{11} + 30 x^{10} + 5 x^{9} + 7 x^{8} - 32 x^{7} - 7 x^{6} - 78 x^{5} - 120 x^{4} + 36 x^{3} + 154 x^{2} + 134 x + 43$ | $-\,5^{16}\cdot 23^{5}$ | $C_5\wr S_3$ (as 15T32) | trivial |
15.15.217...488.1 | $x^{15} - 3 x^{14} - 141 x^{13} + 303 x^{12} + 7456 x^{11} - 9056 x^{10} - 184624 x^{9} + 73248 x^{8} + 2128832 x^{7} + 234224 x^{6} - 10598656 x^{5} - 4059136 x^{4} + 17932800 x^{3} + 7688192 x^{2} - 9523200 x - 3936256$ | $2^{10}\cdot 37^{5}\cdot 701^{4}\cdot 1061^{4}$ | $C_5\wr S_3$ (as 15T32) | trivial |