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Results (displaying all 4 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 14.0.1341068619663964900807.2 | x14 - 28x11 - 21x10 - 70x9 + 189x8 + 284x7 + 1176x6 + 1176x5 + 1953x4 + 791x3 + 644x2 + 133x + 53 | \( -\,7^{25} \) | $C_7 \wr C_2$ (as 14T8) | Trivial (GRH) |
| 14.0.1341068619663964900807.3 | x14 - 28x11 - 21x10 + 28x9 + 189x8 + 263x7 - 196x6 - 196x5 + 189x4 + 301x3 + 350x2 - 112x + 256 | \( -\,7^{25} \) | $C_7 \wr C_2$ (as 14T8) | Trivial (GRH) |
| 14.14.162005265979164094134453125.1 | x14 - 4x13 - 46x12 + 216x11 + 475x10 - 2793x9 - 2014x8 + 15566x7 + 3903x6 - 42032x5 - 858x4 + 54300x3 - 8617x2 - 27189x + 8971 | \( 5^{7}\cdot 3571^{6} \) | $C_7 \wr C_2$ (as 14T8) | Trivial (GRH) |
| 14.14.8902889397738900740239456696953125.1 | x14 - 231x12 - 322x11 + 18424x10 + 40460x9 - 641613x8 - 1755568x7 + 9524963x6 + 30456902x5 - 44562560x4 - 185001208x3 - 19133968x2 + 239195712x + 95554304 | \( 5^{7}\cdot 7^{24}\cdot 29^{6} \) | $C_7 \wr C_2$ (as 14T8) | Trivial (GRH) |