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Label Polynomial Discriminant Galois group Class group
18.6.608...904.1 x18 - 4x17 + 4x16 + 2x15 - 21x14 + 110x13 - 211x12 - 48x11 + 635x10 - 600x9 - 216x8 + 538x7 - 180x6 + 98x5 - 177x4 + 46x3 + 25x2 - 2x - 1 \( 2^{42}\cdot 7^{12} \) $C_3\times C_3:S_3.C_2$ (as 18T44) trivial
18.6.608...904.2 x18 - 4x17 + 2x16 + 10x15 - 27x14 + 70x13 - 103x12 + 12x11 + 98x10 - 76x9 + 106x8 - 208x7 + 336x5 - 152x4 - 176x3 + 104x2 + 16x - 8 \( 2^{42}\cdot 7^{12} \) $C_3\times C_3:S_3.C_2$ (as 18T44) trivial
18.18.890...625.1 x18 - 42x16 - 21x15 + 639x14 + 477x13 - 4557x12 - 3465x11 + 17562x10 + 10481x9 - 40194x8 - 12870x7 + 55341x6 - 41745x4 + 13068x3 + 11979x2 - 7986x + 1331 \( 3^{30}\cdot 5^{12}\cdot 11^{6} \) $C_3\times C_3:S_3.C_2$ (as 18T44) trivial (GRH)
18.18.187...521.1 x18 - 45x16 - x15 + 756x14 + 57x13 - 5953x12 - 1089x11 + 23253x10 + 8945x9 - 46602x8 - 30060x7 + 42927x6 + 43173x5 - 7479x4 - 21483x3 - 8262x2 - 972x - 27 \( 3^{24}\cdot 13^{16} \) $C_3\times C_3:S_3.C_2$ (as 18T44) trivial (GRH)
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