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Download displayed columns for resultsLabel | Polynomial | Discriminant | Galois group | Class group |
---|---|---|---|---|
15.7.149...625.1 | $x^{15} - 7 x^{14} - 640 x^{13} + 4156 x^{12} + 126567 x^{11} - 1031495 x^{10} - 7366320 x^{9} + 137318238 x^{8} - 1027018697 x^{7} - 13883866784 x^{6} + 44995084425 x^{5} + 688125232186 x^{4} + 3695380376144 x^{3} + 12917190317191 x^{2} + 17219135199695 x + 7167576473465$ | $5^{4}\cdot 13^{10}\cdot 331^{12}$ | $C_5^3:A_4$ (as 15T39) | $[5]$ |
15.7.231...000.1 | $x^{15} - 475 x^{13} - 950 x^{12} + 90615 x^{11} + 345483 x^{10} - 8511525 x^{9} - 47194570 x^{8} + 379781060 x^{7} + 2920931515 x^{6} - 5367093328 x^{5} - 75950352750 x^{4} - 70922827300 x^{3} + 500953374400 x^{2} + 699537508000 x - 655371507200$ | $2^{8}\cdot 5^{20}\cdot 61^{4}\cdot 89^{4}\cdot 127^{10}$ | $C_5^3:A_4$ (as 15T39) | $[5]$ |