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Label Polynomial Discriminant Galois group Class group Regulator
20.4.496...000.1 $x^{20} - 9 x^{19} + 44 x^{18} - 141 x^{17} + 381 x^{16} - 814 x^{15} + 438 x^{14} + 5506 x^{13} - 23992 x^{12} + 41448 x^{11} + 330 x^{10} - 139922 x^{9} + 157422 x^{8} + 448344 x^{7} - 1983912 x^{6} + 3755096 x^{5} - 4591244 x^{4} + 3841380 x^{3} - 2411536 x^{2} + 602780 x + 345220$ $2^{24}\cdot 5^{10}\cdot 13^{6}\cdot 29^{4}\cdot 31^{6}$ $C_2^9.\POPlus(4,5)$ (as 20T1028) $[2]$ $13722842007.8$
20.14.153...000.1 $x^{20} - 6 x^{19} - 39 x^{18} + 322 x^{17} - 9 x^{16} - 4706 x^{15} + 14654 x^{14} - 9776 x^{13} - 140019 x^{12} + 665732 x^{11} - 311851 x^{10} - 4359376 x^{9} + 7106761 x^{8} + 12356338 x^{7} - 34712386 x^{6} - 18680342 x^{5} + 145455105 x^{4} - 207958310 x^{3} + 143667577 x^{2} - 50212792 x + 7127461$ $-\,2^{24}\cdot 5^{10}\cdot 13^{6}\cdot 29^{4}\cdot 31^{7}$ $C_2^9.A_5^2:C_2^3$ (as 20T1036) trivial $860494068967$
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