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Download displayed columns for resultsLabel | Polynomial | Discriminant | Galois group | Class group |
---|---|---|---|---|
15.15.498...625.1 | $x^{15} - 60 x^{13} - 20 x^{12} + 1350 x^{11} + 720 x^{10} - 14180 x^{9} - 8370 x^{8} + 72045 x^{7} + 37870 x^{6} - 169974 x^{5} - 70770 x^{4} + 160475 x^{3} + 44100 x^{2} - 40425 x - 12005$ | $3^{20}\cdot 5^{24}\cdot 7^{4}$ | $C_3^4:C_5$ (as 15T26) | trivial |
15.15.498...625.2 | $x^{15} - 105 x^{13} - 130 x^{12} + 2970 x^{11} + 5205 x^{10} - 26825 x^{9} - 61830 x^{8} + 68865 x^{7} + 248430 x^{6} + 42651 x^{5} - 320355 x^{4} - 256025 x^{3} + 51450 x + 12005$ | $3^{20}\cdot 5^{24}\cdot 7^{4}$ | $C_3^4:C_5$ (as 15T26) | trivial |