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Results (displaying all 4 matches)

Label Polynomial Discriminant Galois group Class group
18.6.75613185918270483380568064.1 x18 - x16 - 65x14 - 297x12 - 549x10 - 433x8 - 77x6 + 48x4 + 5x2 - 1 \( 2^{18}\cdot 19^{16} \) $C_2^2 : C_9$ (as 18T7) Trivial
18.6.258151783382020583032356864.1 x18 - 54x14 - 42x12 + 603x10 + 1539x8 + 1368x6 + 450x4 + 27x2 - 1 \( 2^{18}\cdot 3^{44} \) $C_2^2 : C_9$ (as 18T7) Trivial (GRH)
18.18.255992816294107128730405733761.1 x18 - 8x17 - 9x16 + 214x15 - 296x14 - 1586x13 + 3387x12 + 4963x11 - 12716x10 - 8725x9 + 21199x8 + 10625x7 - 15005x6 - 7039x5 + 2915x4 + 746x3 - 275x2 + 11x + 1 \( 19^{16}\cdot 31^{6} \) $C_2^2 : C_9$ (as 18T7) Trivial (GRH)
18.18.126149432166859917805140950806401.1 x18 - 72x16 - 48x15 + 1917x14 + 1944x13 - 24780x12 - 30708x11 + 164547x10 + 240556x9 - 512883x8 - 957456x7 + 410361x6 + 1650123x5 + 829629x4 - 421407x3 - 566379x2 - 206577x - 26241 \( 3^{44}\cdot 71^{6} \) $C_2^2 : C_9$ (as 18T7) Trivial (GRH)



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