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Results (displaying all 4 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 14.6.3303260536398155776.1 | x14 - 7x13 + 27x12 - 71x11 + 119x10 - 111x9 - x8 + 175x7 - 256x6 + 170x5 - 8x4 - 80x3 + 48x2 - 6x - 2 | \( 2^{12}\cdot 73^{8} \) | $F_8:C_3$ (as 14T11) | Trivial |
| 14.6.52852168582370492416.1 | x14 - 6x13 + 2x12 + 68x11 - 200x10 + 124x9 + 412x8 - 928x7 + 592x6 + 376x5 - 920x4 + 752x3 - 368x2 + 112x - 16 | \( 2^{16}\cdot 73^{8} \) | $F_8:C_3$ (as 14T11) | Trivial |
| 14.14.33032605363981557760000.1 | x14 - 4x13 - 26x12 + 54x11 + 254x10 - 244x9 - 1166x8 + 388x7 + 2612x6 - 66x5 - 2796x4 - 162x3 + 1398x2 + 52x - 254 | \( 2^{16}\cdot 5^{4}\cdot 73^{8} \) | $F_8:C_3$ (as 14T11) | Trivial (GRH) |
| 14.14.54120620628347384233984.1 | x14 - 22x12 + 188x10 - 780x8 + 1584x6 - 1352x4 + 288x2 - 16 | \( 2^{26}\cdot 73^{8} \) | $F_8:C_3$ (as 14T11) | Trivial (GRH) |