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Results (8 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
21.3.396...527.1 $x^{21} - 5 x^{20} + 11 x^{19} - 20 x^{18} + 37 x^{17} - 68 x^{16} + 120 x^{15} - 168 x^{14} + 237 x^{13} - 331 x^{12} + 362 x^{11} - 431 x^{10} + 452 x^{9} - 381 x^{8} + 350 x^{7} - 238 x^{6} + 169 x^{5} - 90 x^{4} + 43 x^{3} + 6 x^{2} + 27$ $-\,13^{2}\cdot 1801^{2}\cdot 193327^{3}$ $C_3^7.S_7$ (as 21T139) trivial $6158.71427835$
21.3.930...607.1 $x^{21} - 5 x^{20} + 36 x^{18} - 35 x^{17} - 108 x^{16} + 155 x^{15} + 176 x^{14} - 338 x^{13} - 129 x^{12} + 413 x^{11} - 50 x^{10} - 234 x^{9} + 162 x^{8} - 66 x^{7} - 51 x^{6} + 196 x^{5} - 92 x^{4} - 98 x^{3} + 71 x^{2} - 10 x - 25$ $-\,151^{2}\cdot 2377^{2}\cdot 193327^{3}$ $C_3^7.S_7$ (as 21T139) trivial $99654.8309357$
21.9.184...873.1 $x^{21} - 2 x^{20} - 2 x^{19} + 12 x^{18} - 25 x^{17} + x^{16} + 48 x^{15} - 91 x^{14} + 103 x^{13} - 12 x^{12} - 110 x^{11} + 272 x^{10} - 277 x^{9} - 78 x^{8} + 278 x^{7} - 46 x^{6} + 11 x^{5} - 114 x^{4} + 3 x^{3} + 93 x^{2} - 19 x - 23$ $71^{3}\cdot 8623^{3}\cdot 283573^{2}$ $C_3^7.S_7$ (as 21T139) trivial $1614740.57391$
21.9.778...553.1 $x^{21} - 8 x^{20} + 15 x^{19} + 42 x^{18} - 181 x^{17} + 43 x^{16} + 664 x^{15} - 785 x^{14} - 999 x^{13} + 2386 x^{12} - 12 x^{11} - 3337 x^{10} + 2186 x^{9} + 1818 x^{8} - 2845 x^{7} + 445 x^{6} + 1349 x^{5} - 754 x^{4} - 347 x^{3} + 279 x^{2} + 76 x + 1$ $71^{3}\cdot 157^{2}\cdot 3709^{2}\cdot 8623^{3}$ $C_3^7.S_7$ (as 21T139) trivial $3400600.48543$
21.15.303...199.1 $x^{21} - 7 x^{20} + 4 x^{19} + 78 x^{18} - 172 x^{17} - 227 x^{16} + 1027 x^{15} - 237 x^{14} - 2424 x^{13} + 2147 x^{12} + 2451 x^{11} - 3882 x^{10} - 561 x^{9} + 3295 x^{8} - 1120 x^{7} - 1109 x^{6} + 907 x^{5} - 79 x^{4} - 154 x^{3} + 74 x^{2} - 14 x + 1$ $-\,107^{3}\cdot 313^{2}\cdot 5023^{2}\cdot 21557^{3}$ $C_3^7.S_7$ (as 21T139) trivial $239141569.892$
21.15.383...559.1 $x^{21} - 7 x^{20} + 4 x^{19} + 76 x^{18} - 158 x^{17} - 247 x^{16} + 951 x^{15} + 33 x^{14} - 2574 x^{13} + 1625 x^{12} + 3365 x^{11} - 4136 x^{10} - 1183 x^{9} + 3929 x^{8} - 1250 x^{7} - 1233 x^{6} + 995 x^{5} - 101 x^{4} - 152 x^{3} + 74 x^{2} - 14 x + 1$ $-\,107^{3}\cdot 21557^{3}\cdot 1767079^{2}$ $C_3^7.S_7$ (as 21T139) trivial $267663117.46$
21.21.840...873.1 $x^{21} - 8 x^{20} + 8 x^{19} + 94 x^{18} - 269 x^{17} - 195 x^{16} + 1577 x^{15} - 1066 x^{14} - 3297 x^{13} + 4973 x^{12} + 1604 x^{11} - 7061 x^{10} + 2541 x^{9} + 3722 x^{8} - 3133 x^{7} - 183 x^{6} + 1045 x^{5} - 344 x^{4} - 56 x^{3} + 58 x^{2} - 13 x + 1$ $71^{3}\cdot 109^{2}\cdot 29437^{2}\cdot 283583^{3}$ $C_3^7.S_7$ (as 21T139) trivial $54641615186.6$
21.21.123...257.1 $x^{21} - 6 x^{20} - 6 x^{19} + 102 x^{18} - 113 x^{17} - 557 x^{16} + 1235 x^{15} + 876 x^{14} - 4391 x^{13} + 1595 x^{12} + 6346 x^{11} - 6325 x^{10} - 2479 x^{9} + 6202 x^{8} - 1793 x^{7} - 1829 x^{6} + 1407 x^{5} - 158 x^{4} - 178 x^{3} + 84 x^{2} - 15 x + 1$ $71^{3}\cdot 283583^{3}\cdot 3892951^{2}$ $C_3^7.S_7$ (as 21T139) trivial $50400436611.9$
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