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Results (7 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
18.0.227...424.1 $x^{18} - 3 x^{17} + 6 x^{16} - 20 x^{15} + 57 x^{14} - 102 x^{13} + 159 x^{12} - 312 x^{11} + 567 x^{10} - 735 x^{9} + 855 x^{8} - 1155 x^{7} + 1382 x^{6} - 1122 x^{5} + 567 x^{4} - 172 x^{3} + 33 x^{2} - 6 x + 1$ $-\,2^{6}\cdot 3^{21}\cdot 23^{7}$ $C_2^3\wr C_3.S_3^2$ (as 18T734) $[2]$ $1034.74957973$
18.2.634...832.1 $x^{18} + 9 x^{16} + 30 x^{14} + 36 x^{12} - 9 x^{10} - 45 x^{8} + 162 x^{6} + 27 x^{4} + 27 x^{2} - 27$ $2^{12}\cdot 3^{21}\cdot 23^{6}$ $C_2^3:A_4^2:D_6$ (as 18T587) trivial $4220.71080217$
18.2.634...832.2 $x^{18} - 6 x^{17} + 12 x^{16} - 8 x^{15} + 21 x^{14} - 153 x^{13} + 471 x^{12} - 780 x^{11} + 648 x^{10} + 45 x^{9} - 741 x^{8} + 756 x^{7} - 151 x^{6} - 258 x^{5} + 126 x^{4} + 14 x^{3} + 36 x^{2} - 27 x - 11$ $2^{12}\cdot 3^{21}\cdot 23^{6}$ $C_2^3:A_4^2:D_6$ (as 18T587) trivial $4725.85533954$
18.2.201...617.1 $x^{18} - 3 x^{17} + 6 x^{16} - 14 x^{15} + 36 x^{14} - 96 x^{13} + 191 x^{12} - 297 x^{11} + 435 x^{10} - 690 x^{9} + 945 x^{8} - 813 x^{7} + 297 x^{6} + 105 x^{5} - 147 x^{4} + 44 x^{3} + 6 x^{2} - 6 x + 1$ $3^{21}\cdot 7^{12}\cdot 139$ $C_2^4:A_4^2.D_6$ (as 18T657) trivial $6948.8935794$
18.6.496...429.1 $x^{18} - 19 x^{15} + 95 x^{12} - 6 x^{9} - 369 x^{6} - 164 x^{3} + 1$ $3^{21}\cdot 7^{15}$ $C_3^2:D_6$ (as 18T42) trivial $20392.5627447$
18.6.593...088.1 $x^{18} - 3 x^{14} - 15 x^{12} - 18 x^{10} + 9 x^{8} + 81 x^{6} + 27 x^{4} - 54 x^{2} - 27$ $2^{12}\cdot 3^{21}\cdot 7^{12}$ $C_2^3:A_4^2:C_6$ (as 18T513) trivial $102490.339302$
18.2.593...088.1 $x^{18} + 6 x^{16} + 6 x^{14} - 69 x^{12} - 441 x^{10} - 1341 x^{8} - 2241 x^{6} - 1998 x^{4} - 783 x^{2} - 27$ $2^{12}\cdot 3^{21}\cdot 7^{12}$ $C_2^4:A_4^2.D_6$ (as 18T657) trivial $33272.9745321$
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