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Results (displaying all 6 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 18.6.523104597390400000000.1 | x18 - x16 - 6x14 + 5x12 + 2x10 - 7x8 + 18x6 - 7x4 - 3x2 - 1 | \( 2^{12}\cdot 5^{8}\cdot 83^{6} \) | $(C_3\times A_4):S_3$ (as 18T108) | Trivial |
| 18.6.3511479662680207261696.1 | x18 - 2x16 + 3x14 - 4x12 + 18x10 - 41x8 + 53x6 - 39x4 + 11x2 - 1 | \( 2^{22}\cdot 307^{6} \) | $(C_3\times A_4):S_3$ (as 18T108) | Trivial |
| 18.6.19831037771561498863462656.1 | x18 - 2x17 - 3x16 - 10x15 + 27x14 + 83x13 + 4x12 - 280x11 - 369x10 + 19x9 + 1359x8 + 637x7 - 1501x6 - 659x5 + 897x4 + 188x3 - 270x2 + 47x - 1 | \( 2^{8}\cdot 3^{14}\cdot 503^{6} \) | $(C_3\times A_4):S_3$ (as 18T108) | Trivial |
| 18.6.1075555037825698228297939441.1 | x18 - 4x17 + 6x16 - 14x15 - 54x14 + 540x13 - 1068x12 - 434x11 + 3410x10 - 1774x9 - 4410x8 + 4298x7 + 2812x6 - 4348x5 - 463x4 + 2134x3 - 356x2 - 408x + 128 | \( 32009^{6} \) | $(C_3\times A_4):S_3$ (as 18T108) | Trivial (GRH) |
| 18.18.324911722849263597378972155904.1 | x18 - 38x16 + 541x14 - 3935x12 + 16280x10 - 39568x8 + 55652x6 - 42560x4 + 15520x2 - 1936 | \( 2^{22}\cdot 3^{14}\cdot 503^{6} \) | $(C_3\times A_4):S_3$ (as 18T108) | Trivial (GRH) |
| 18.18.4405473434934059943108359950336.1 | x18 - 45x16 + 689x14 - 4738x12 + 16322x10 - 29413x8 + 27137x6 - 11352x4 + 1435x2 - 4 | \( 2^{12}\cdot 32009^{6} \) | $(C_3\times A_4):S_3$ (as 18T108) | Trivial (GRH) |