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Results (8 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
20.0.330...961.1 $x^{20} - 2 x^{19} + 4 x^{18} - 6 x^{17} + 10 x^{16} - 15 x^{15} + 21 x^{14} - 27 x^{13} + 37 x^{12} - 34 x^{11} + 47 x^{10} - 34 x^{9} + 37 x^{8} - 27 x^{7} + 21 x^{6} - 15 x^{5} + 10 x^{4} - 6 x^{3} + 4 x^{2} - 2 x + 1$ $653^{8}$ $C_2\times A_5$ (as 20T36) trivial $932.282807106$
20.4.436...184.1 $x^{20} - 8 x^{16} - 22 x^{14} - 6 x^{12} + 22 x^{10} + 33 x^{8} - 22 x^{6} + 19 x^{4} - 2 x^{2} + 1$ $2^{30}\cdot 67^{8}$ $C_2\times A_5$ (as 20T36) trivial $7917.88619089$
20.0.865...744.1 $x^{20} + 2 x^{18} - 2 x^{17} + 4 x^{16} - 4 x^{15} - 14 x^{13} + 9 x^{12} - 2 x^{11} + 6 x^{10} - 2 x^{9} + 7 x^{8} - 12 x^{7} + 26 x^{6} - 28 x^{5} + 19 x^{4} - 20 x^{3} + 24 x^{2} - 16 x + 4$ $2^{30}\cdot 73^{8}$ $C_2\times A_5$ (as 20T36) trivial $15341.0740173$
20.4.250...256.1 $x^{20} + 6 x^{18} + 11 x^{16} - 2 x^{14} - 43 x^{12} - 102 x^{10} - 146 x^{8} - 134 x^{6} - 84 x^{4} - 32 x^{2} + 1$ $2^{32}\cdot 17^{12}$ $C_2\times A_5$ (as 20T36) trivial $28505.6799029$
20.0.922...641.1 $x^{20} - 4 x^{19} + 11 x^{18} - 21 x^{17} + 35 x^{16} - 50 x^{15} + 65 x^{14} - 77 x^{13} + 79 x^{12} - 81 x^{11} + 87 x^{10} - 162 x^{9} + 316 x^{8} - 616 x^{7} + 1040 x^{6} - 1600 x^{5} + 2240 x^{4} - 2688 x^{3} + 2816 x^{2} - 2048 x + 1024$ $19^{8}\cdot 293^{8}$ $C_2\times A_5$ (as 20T36) trivial $3891860.51282$
20.0.227...281.1 $x^{20} - 3 x^{19} + 10 x^{18} - 26 x^{17} + 59 x^{16} - 129 x^{15} + 241 x^{14} - 438 x^{13} + 729 x^{12} - 1124 x^{11} + 1669 x^{10} - 2248 x^{9} + 2916 x^{8} - 3504 x^{7} + 3856 x^{6} - 4128 x^{5} + 3776 x^{4} - 3328 x^{3} + 2560 x^{2} - 1536 x + 1024$ $8311^{8}$ $C_2\times A_5$ (as 20T36) $[4]$ $10106391.1313$
20.20.333...401.1 $x^{20} - 6 x^{19} - 16 x^{18} + 121 x^{17} + 95 x^{16} - 933 x^{15} - 226 x^{14} + 3630 x^{13} - 25 x^{12} - 7849 x^{11} + 1238 x^{10} + 9696 x^{9} - 2643 x^{8} - 6638 x^{7} + 2522 x^{6} + 2214 x^{5} - 1128 x^{4} - 209 x^{3} + 182 x^{2} - 26 x + 1$ $19^{10}\cdot 293^{8}$ $C_2\times A_5$ (as 20T36) trivial $6609693766.39$
20.20.117...321.1 $x^{20} - 29 x^{18} + 296 x^{16} - 1485 x^{14} + 4169 x^{12} - 6905 x^{10} + 6821 x^{8} - 3925 x^{6} + 1212 x^{4} - 157 x^{2} + 1$ $13613^{8}$ $C_2\times A_5$ (as 20T36) trivial $10159591011.6$
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