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Download displayed columns for resultsLabel | Polynomial | Discriminant | Galois group | Class group |
---|---|---|---|---|
19.11.248...624.1 | $x^{19} - 3 x^{18} - 7 x^{17} + 26 x^{16} + 5 x^{15} - 79 x^{14} + 69 x^{13} + 76 x^{12} - 206 x^{11} + 92 x^{10} + 197 x^{9} - 269 x^{8} - 7 x^{7} + 218 x^{6} - 89 x^{5} - 64 x^{4} + 45 x^{3} + 2 x^{2} - 6 x + 1$ | $2^{4}\cdot 349\cdot 44\!\cdots\!61$ | $S_{19}$ (as 19T8) | trivial |