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Results (displaying all 4 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 18.6.2094660489407173427089.1 | x18 - 7x17 + 18x16 - 17x15 - 11x14 + 44x13 - 58x12 + 103x11 - 267x10 + 521x9 - 674x8 + 554x7 - 214x6 - 93x5 + 194x4 - 135x3 + 52x2 - 11x + 1 | \( 7^{12}\cdot 73^{6} \) | $C_3\times A_5$ (as 18T90) | Trivial |
| 18.6.328220133907220743839809536.1 | x18 - 2x17 + 7x16 - 14x15 - 4x14 - 24x13 - 169x12 + 16x11 - 509x10 + 220x9 - 545x8 + 402x7 - 49x6 + 16x5 + 74x4 - 32x3 + 16x2 - 4x - 1 | \( 2^{18}\cdot 7^{12}\cdot 67^{6} \) | $C_3\times A_5$ (as 18T90) | Trivial (GRH) |
| 18.18.412006253628151171906676331799969.1 | x18 - 43x16 - 11x15 + 708x14 + 300x13 - 5681x12 - 2834x11 + 23869x10 + 11970x9 - 52189x8 - 22763x7 + 55351x6 + 15806x5 - 25783x4 - 1988x3 + 3859x2 - 66x - 127 | \( 7^{12}\cdot 19^{6}\cdot 293^{6} \) | $C_3\times A_5$ (as 18T90) | Trivial (GRH) |
| 18.18.860913244245532536433941348923332929.1 | x18 - 3x17 - 99x16 + 210x15 + 3375x14 - 5607x13 - 48021x12 + 69291x11 + 271242x10 - 387311x9 - 634638x8 + 969615x7 + 597186x6 - 1122255x5 - 128142x4 + 568215x3 - 79641x2 - 102483x + 29217 | \( 3^{32}\cdot 11^{12}\cdot 23^{6} \) | $C_3\times A_5$ (as 18T90) | Trivial (GRH) |