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Results (displaying all 4 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 15.5.45574341341445246456603159296.1 | x15 - 5x14 - 30x13 + 159x12 + 496x11 - 2579x10 - 4208x9 + 20521x8 + 13460x7 - 60845x6 + 48450x5 + 6957x4 - 403447x3 - 35034x2 - 86972x - 710752 | \( -\,2^{8}\cdot 17^{5}\cdot 31^{8}\cdot 43^{5} \) | 15T51 | $[2]$ (GRH) |
| 15.7.267595051448364257812500000000.1 | x15 - 5x14 - 5x13 - 35x12 - 10x11 + 950x10 + 2005x9 + 165x8 - 11050x7 - 28850x6 - 1575x5 + 95325x4 + 21125x3 - 82925x2 + 14750x - 2060 | \( 2^{8}\cdot 3^{5}\cdot 5^{22}\cdot 71^{5} \) | 15T51 | Trivial (GRH) |
| 15.7.9609426760086059570312500000000.1 | x15 - 50x13 - 5x12 + 330x11 + 266x10 + 9150x9 - 12230x8 - 55090x7 + 142500x6 - 156072x5 + 136600x4 - 150040x3 + 126420x2 - 48320x + 1024 | \( 2^{8}\cdot 5^{24}\cdot 229^{5} \) | 15T51 | Trivial (GRH) |
| 15.15.1297349726010274931651495881999903609711923026220354873585739003189726789242882757.1 | x15 - 3x14 - 293157x13 + 28250964x12 + 29992349079x11 - 5439011478175x10 - 997902540485763x9 + 309436858997805328x8 - 8002301492179106409x7 - 3902925851520568641401x6 + 334208520172135190753528x5 + 5737266459200156336848041x4 - 1524999325458746904578062859x3 + 50654221628876906428539791586x2 - 367428540321761276369592413252x - 1788115490230017965919208633168 | \( 19^{5}\cdot 103^{5}\cdot 244301^{12} \) | 15T51 | n/a |