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Results (displaying all 8 matches)

Label Polynomial Discriminant Galois group Class group
18.0.5460912335827351107.1 x18 - 9x17 + 35x16 - 76x15 + 100x14 - 84x13 + 57x12 - 56x11 + 62x10 - 35x9 + 3x8 - 28x7 + 63x6 - 32x5 - 10x3 + 16x2 - 7x + 1 \( -\,3^{9}\cdot 23^{6}\cdot 37^{4} \) $C_3\wr S_3:C_2$ (as 18T137) Trivial
18.0.64351673690220270000.1 x18 - 2x17 + x16 + 2x14 - 5x13 + 6x12 - 3x11 - 4x9 + 8x8 - 7x6 + x5 + x2 + x + 1 \( -\,2^{4}\cdot 3^{9}\cdot 5^{4}\cdot 83^{6} \) $C_3\wr S_3:C_2$ (as 18T137) Trivial
18.0.932981882560960528384.1 x18 + 9x16 + 30x14 + 68x12 + 87x10 + 67x8 + 55x6 + 29x4 + 12x2 + 4 \( -\,2^{18}\cdot 11^{4}\cdot 79^{6} \) $C_3\wr S_3:C_2$ (as 18T137) Trivial
18.0.1126272265157166170112.1 x18 - 9x17 + 37x16 - 92x15 + 158x14 - 210x13 + 244x12 - 268x11 + 281x10 - 283x9 + 281x8 - 268x7 + 244x6 - 210x5 + 158x4 - 92x3 + 37x2 - 9x + 1 \( -\,2^{16}\cdot 3^{13}\cdot 47^{6} \) $C_3\wr S_3:C_2$ (as 18T137) Trivial
18.6.10419354122831477604352.1 x18 - 6x16 - 6x15 - 2x14 + 16x13 + 9x12 - 20x11 - 50x10 - 92x9 - 50x8 - 20x7 + 9x6 + 16x5 - 2x4 - 6x3 - 6x2 + 1 \( 2^{26}\cdot 11^{4}\cdot 13^{9} \) $C_3\wr S_3:C_2$ (as 18T137) Trivial
18.6.69157220416328000000000.1 x18 - 6x17 + 5x16 + 30x15 - 52x14 - 44x13 + 125x12 - 8x11 - 52x10 + 62x9 - 181x8 - 32x7 + 233x6 + 126x5 - 6x4 - 108x3 - 52x2 + 4x + 4 \( 2^{12}\cdot 5^{9}\cdot 11^{6}\cdot 47^{4} \) $C_3\wr S_3:C_2$ (as 18T137) Trivial
18.18.28735535361306808448000000000.1 x18 - x17 - 41x16 + 42x15 + 649x14 - 703x13 - 5009x12 + 5976x11 + 19362x10 - 26538x9 - 32936x8 + 56758x7 + 12125x6 - 46951x5 + 11407x4 + 9960x3 - 3945x2 - 383x + 211 \( 2^{16}\cdot 5^{9}\cdot 31^{4}\cdot 79^{6} \) $C_3\wr S_3:C_2$ (as 18T137) Trivial (GRH)
18.18.42617365285248096686111328125.1 x18 - 33x16 + 450x14 - 3276x12 + 13735x10 - 33434x8 + 45712x6 - 33085x4 + 11454x2 - 1445 \( 5^{9}\cdot 139^{4}\cdot 197^{6} \) $C_3\wr S_3:C_2$ (as 18T137) Trivial (GRH)


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