Note: Search results may be incomplete due to uncomputed quantities: Class number (201181 objects)
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Download displayed columns for resultsLabel | Polynomial | Discriminant | Galois group | Class group |
---|---|---|---|---|
21.3.866...223.1 | $x^{21} - 72 x^{14} - 435 x^{7} + 1$ | $-\,3^{28}\cdot 7^{35}$ | $C_3\times F_7$ (as 21T9) | $[2, 546]$ |
21.3.280...263.1 | $x^{21} - 7 x^{20} + 21 x^{19} - 34 x^{18} + 29 x^{17} + 30908 x^{16} - 227299 x^{15} + 331614 x^{14} - 11256581 x^{13} - 100744748 x^{12} + 250586819 x^{11} - 1122038804 x^{10} + 8083253229 x^{9} - 7342418196 x^{8} - 1136578032834 x^{7} + 596900678473 x^{6} + 16991239839504 x^{5} - 27591656221276 x^{4} - 9543020500384 x^{3} + 370902066797360 x^{2} - 862711219086080 x - 660800505832768$ | $-\,7^{17}\cdot 13^{18}\cdot 41^{18}$ | $F_7$ (as 21T4) | $[14, 14, 14]$ |