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Results (displaying all 4 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 14.6.156953822015120676021504.1 | x14 - 7x13 + 7x12 + 28x11 - 28x10 - 140x9 - 252x8 + 3024x7 - 7560x6 + 8848x5 - 4480x4 - 560x3 + 1792x2 - 784x + 112 | \( 2^{8}\cdot 3^{17}\cdot 7^{15} \) | 14T46 | Trivial |
| 14.0.67804051110532132041289728.1 | x14 - 7x13 + 35x12 - 119x11 + 329x10 - 721x9 + 1379x8 - 2177x7 + 1813x6 - 1225x5 + 2107x4 + 1225x3 - 392x2 - 1960x + 1568 | \( -\,2^{12}\cdot 3^{20}\cdot 7^{15} \) | 14T46 | Trivial (GRH) |
| 14.0.84659470613851429002018816.1 | x14 - 28x12 + 231x10 + 742x8 - 6517x6 - 59136x4 + 295141x2 + 142814 | \( -\,2^{25}\cdot 3^{12}\cdot 7^{15} \) | 14T46 | $[4]$ (GRH) |
| 14.6.169318941227702858004037632.1 | x14 - 28x12 + 168x10 + 504x8 - 3024x6 - 6048x4 - 9072x2 - 36288 | \( 2^{26}\cdot 3^{12}\cdot 7^{15} \) | 14T46 | Trivial (GRH) |