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Results (displaying all 4 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 18.6.11360989554893559098699461641.1 | x18 - 6x17 + 30x16 - 117x15 + 309x14 - 627x13 + 930x12 - 627x11 - 510x10 - 974x9 + 6243x8 - 2055x7 - 11115x6 + 10734x5 - 696x4 + 168x3 - 1344x2 - 192x + 64 | \( 3^{32}\cdot 19^{10} \) | $C_6^2:C_3$ (as 18T48) | $[2]$ (GRH) |
| 18.6.1213776471051948828443732093169.1 | x18 - 3x17 + 15x16 - 50x15 + 45x14 - 204x13 + 140x12 + 210x11 + 1962x10 - 166x9 - 1536x8 - 7242x7 - 1448x6 + 28032x5 + 44793x4 + 20953x3 - 12165x2 - 14862x - 3691 | \( 3^{24}\cdot 73^{10} \) | $C_6^2:C_3$ (as 18T48) | Trivial (GRH) |
| 18.18.2978215245878017156369471672418304.1 | x18 - 54x16 + 1143x14 - 12240x12 + 71820x10 - 233244x8 + 397746x6 - 302157x4 + 58482x2 - 3249 | \( 2^{18}\cdot 3^{32}\cdot 19^{10} \) | $C_6^2:C_3$ (as 18T48) | Trivial (GRH) |
| 18.18.318184219227442073683553705831694336.1 | x18 - 63x16 + 1221x14 - 9772x12 + 38544x10 - 84315x8 + 107675x6 - 79935x4 + 31974x2 - 5329 | \( 2^{18}\cdot 3^{24}\cdot 73^{10} \) | $C_6^2:C_3$ (as 18T48) | Trivial (GRH) |