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Results (displaying all 8 matches)

Label Polynomial Discriminant Galois group Class group
18.6.14610422921440715006545693.1 x18 - 3x17 - 4x16 + 33x15 - 73x14 + 6x13 + 269x12 - 365x11 + 9x10 + 331x9 + 106x8 - 1784x7 + 1952x6 + 505x5 - 976x4 - 985x3 + 2554x2 - 1500x - 113 \( 19^{16}\cdot 37^{3} \) $C_2\times C_2^2:C_9$ (as 18T26) Trivial
18.12.75613185918270483380568064.1 x18 + x16 - 65x14 + 297x12 - 549x10 + 433x8 - 77x6 - 48x4 + 5x2 + 1 \( -\,2^{18}\cdot 19^{16} \) $C_2\times C_2^2:C_9$ (as 18T26) Trivial (GRH)
18.12.258151783382020583032356864.1 x18 - 54x14 + 42x12 + 603x10 - 1539x8 + 1368x6 - 450x4 + 27x2 + 1 \( -\,2^{18}\cdot 3^{44} \) $C_2\times C_2^2:C_9$ (as 18T26) Trivial (GRH)
18.0.352460338371438479971671591.1 x18 + 9x16 - 9x15 + 162x14 - 99x13 + 1473x12 - 1404x11 + 6264x10 - 5939x9 + 12636x8 - 11961x7 + 14742x6 - 10530x5 + 7452x4 - 3267x3 + 1215x2 - 243x + 27 \( -\,3^{44}\cdot 71^{3} \) $C_2\times C_2^2:C_9$ (as 18T26) $[21]$
18.6.416191250312479879983411857.1 x18 - 8x17 + 27x16 - 42x15 - 12x14 + 242x13 - 833x12 + 2227x11 - 5196x10 + 10127x9 - 15321x8 + 14901x7 - 1829x6 - 22543x5 + 46651x4 - 53722x3 + 41301x2 - 20001x + 4181 \( 19^{16}\cdot 113^{3} \) $C_2\times C_2^2:C_9$ (as 18T26) Trivial
18.0.3830034706318154794675914145792.1 x18 - 2x17 + 36x16 - 124x15 + 667x14 - 2334x13 + 8164x12 - 20338x11 + 54321x10 - 96972x9 + 150518x8 - 244982x7 + 834376x6 - 2158328x5 + 4885022x4 - 8338866x3 + 13279313x2 - 14690014x + 10525279 \( -\,2^{18}\cdot 19^{16}\cdot 37^{3} \) $C_2\times C_2^2:C_9$ (as 18T26) $[2, 2, 570]$ (GRH)
18.18.3830034706318154794675914145792.1 x18 - 2x17 - 66x16 + 108x15 + 1544x14 - 1850x13 - 16889x12 + 15264x11 + 95078x10 - 72124x9 - 281919x8 + 202114x7 + 412283x6 - 313520x5 - 223063x4 + 212908x3 - 16553x2 - 12592x + 647 \( 2^{18}\cdot 19^{16}\cdot 37^{3} \) $C_2\times C_2^2:C_9$ (as 18T26) Trivial (GRH)
18.18.1275032635857445963924166132749828096.1 x18 - 190x16 + 15219x14 - 670985x12 + 17820195x10 - 292417885x8 + 2904860828x6 - 16125600181x4 + 40252586306x2 - 16862569939 \( 2^{18}\cdot 19^{17}\cdot 31^{6} \) $C_2\times C_2^2:C_9$ (as 18T26) $[2, 2]$ (GRH)



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