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Download displayed columns for resultsLabel | Polynomial | Discriminant | Galois group | Class group |
---|---|---|---|---|
17.13.223...557.1 | $x^{17} - x^{16} - 17 x^{15} + 17 x^{14} + 112 x^{13} - 115 x^{12} - 356 x^{11} + 389 x^{10} + 547 x^{9} - 675 x^{8} - 342 x^{7} + 560 x^{6} + 27 x^{5} - 205 x^{4} + 42 x^{3} + 24 x^{2} - 10 x + 1$ | $3^{3}\cdot 205542871\cdot 402308340646912121$ | $S_{17}$ (as 17T10) | trivial |
17.13.483...800.1 | $x^{17} - 4 x^{16} - 6 x^{15} + 41 x^{14} - 5 x^{13} - 163 x^{12} + 112 x^{11} + 322 x^{10} - 315 x^{9} - 342 x^{8} + 381 x^{7} + 204 x^{6} - 216 x^{5} - 70 x^{4} + 55 x^{3} + 13 x^{2} - 5 x - 1$ | $2^{6}\cdot 5^{2}\cdot 7529\cdot 4014102427748751372137$ | $S_{17}$ (as 17T10) | trivial |