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Results (4 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
21.1.238...101.1 $x^{21} - 6 x^{18} - 6 x^{16} + 8 x^{15} - 8 x^{14} + 17 x^{13} - 3 x^{12} + 23 x^{11} - 28 x^{10} - 11 x^{9} - 45 x^{8} - 14 x^{7} - 44 x^{6} - 17 x^{5} - 21 x^{4} - 4 x^{3} - 8 x^{2} - 1$ $23^{7}\cdot 41227^{3}$ $D_7\wr S_3$ (as 21T62) trivial $952.218112417$
21.3.837...752.1 $x^{21} - 6 x^{20} + 13 x^{19} - 17 x^{18} + 21 x^{17} - 45 x^{16} + 82 x^{15} - 15 x^{14} + 21 x^{13} - 84 x^{12} + 93 x^{11} + 37 x^{10} - 137 x^{9} - 497 x^{8} - 444 x^{7} - 317 x^{6} - 346 x^{5} - 656 x^{4} - 808 x^{3} - 640 x^{2} - 288 x - 64$ $-\,2^{14}\cdot 3^{7}\cdot 13^{3}\cdot 31^{3}\cdot 47^{7}\cdot 89^{3}$ $D_7\wr S_3$ (as 21T62) trivial $679470568.354$
21.1.242...448.1 $x^{21} - 6 x^{20} + 16 x^{19} - 26 x^{18} + 29 x^{17} - 36 x^{16} + 50 x^{15} - 50 x^{14} + 35 x^{13} - 14 x^{12} + 100 x^{11} - 22 x^{10} - 25 x^{9} - 112 x^{8} - 78 x^{7} - 286 x^{6} - 632 x^{5} - 1000 x^{4} - 1000 x^{3} - 688 x^{2} - 288 x - 64$ $2^{14}\cdot 11^{10}\cdot 283^{3}\cdot 6311^{3}$ $D_7\wr S_3$ (as 21T62) trivial $19772231044.3$
21.3.647...536.1 $x^{21} - 6 x^{20} + 22 x^{19} - 44 x^{18} + 46 x^{17} - 18 x^{16} - 9 x^{15} - 94 x^{14} + 67 x^{13} + 50 x^{12} + 44 x^{11} - 96 x^{10} + 288 x^{9} + 690 x^{8} + 639 x^{7} - 246 x^{6} - 1218 x^{5} - 1692 x^{4} - 1384 x^{3} - 784 x^{2} - 288 x - 64$ $-\,2^{23}\cdot 79^{7}\cdot 159017^{3}$ $D_7\wr S_3$ (as 21T62) trivial $182519624586$
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