Refine search
Results (8 matches)
Download displayed columns for resultsLabel | Polynomial | Discriminant | Galois group | Class group |
---|---|---|---|---|
13.1.469804094334435328.1 | $x^{13} + 13 x^{11} + 65 x^{9} + 156 x^{7} + 182 x^{5} + 91 x^{3} + 13 x - 2$ | $2^{18}\cdot 13^{11}$ | $F_{13}$ (as 13T6) | trivial |
13.1.124...288.1 | $x^{13} - 2$ | $2^{12}\cdot 13^{13}$ | $F_{13}$ (as 13T6) | trivial |
13.1.160...573.1 | $x^{13} - 3$ | $3^{12}\cdot 13^{13}$ | $F_{13}$ (as 13T6) | trivial |
13.1.739...125.1 | $x^{13} - 5$ | $5^{12}\cdot 13^{13}$ | $F_{13}$ (as 13T6) | trivial |
13.13.145...912.1 | $x^{13} - 26 x^{11} + 260 x^{9} - 1248 x^{7} + 2912 x^{5} - 2912 x^{3} + 832 x - 176$ | $2^{12}\cdot 7^{6}\cdot 13^{13}$ | $F_{13}$ (as 13T6) | trivial |
13.1.659...008.1 | $x^{13} - 6$ | $2^{12}\cdot 3^{12}\cdot 13^{13}$ | $F_{13}$ (as 13T6) | trivial |
13.1.419...853.1 | $x^{13} - 7$ | $7^{12}\cdot 13^{13}$ | $F_{13}$ (as 13T6) | trivial |
13.13.302...000.1 | $x^{13} - 65 x^{11} + 1625 x^{9} - 19500 x^{7} + 113750 x^{5} - 284375 x^{3} + 203125 x - 69500$ | $2^{12}\cdot 5^{12}\cdot 13^{13}$ | $F_{13}$ (as 13T6) | trivial |