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Download displayed columns for resultsLabel | Polynomial | Discriminant | Galois group | Class group |
---|---|---|---|---|
21.3.605...727.1 | $x^{21} - 7 x^{20} + 21 x^{19} - 34 x^{18} + 5335 x^{17} - 68226 x^{16} + 370487 x^{15} - 976238 x^{14} + 9992983 x^{13} - 167147434 x^{12} + 1254295567 x^{11} - 5119024426 x^{10} + 16406088995 x^{9} - 124794841242 x^{8} + 1235524808890 x^{7} - 7765632654107 x^{6} + 28259771083054 x^{5} - 48713312542188 x^{4} - 12644866212328 x^{3} + 193183257790096 x^{2} - 276127419440096 x + 122588921675584$ | $-\,7^{17}\cdot 379^{18}$ | $F_7$ (as 21T4) | $[7, 7, 7, 7, 7]$ |