Further refine search
Results (displaying all 4 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 15.3.18953525353286467584.1 | x15 - 3x14 - 3x13 + 17x12 - 12x11 - 12x10 + 34x9 - 54x8 + 108x6 - 90x5 - 18x4 + 63x3 - 81x2 + 27x - 9 | \( 2^{26}\cdot 3^{24} \) | $A_6$ (as 15T20) | Trivial |
| 15.3.30638157055420022784.1 | x15 - 3x13 - 2x12 + 12x10 + 50x9 - 54x7 + 68x6 - 162x5 + 30x4 - 67x3 + 15x + 4 | \( 2^{14}\cdot 3^{18}\cdot 13^{6} \) | $A_6$ (as 15T20) | Trivial |
| 15.15.11621759510846642583679213009.1 | x15 - 5x14 - 38x13 + 196x12 + 476x11 - 2646x10 - 2219x9 + 15116x8 + 2757x7 - 37522x6 + 6328x5 + 33201x4 - 16184x3 - 2037x2 + 2058x - 245 | \( 7^{10}\cdot 283^{8} \) | $A_6$ (as 15T20) | Trivial (GRH) |
| 15.15.36430296336664162471668760576.1 | x15 - 56x13 - 12x12 + 1084x11 + 224x10 - 9480x9 - 696x8 + 39452x7 - 4512x6 - 71584x5 + 21376x4 + 40656x3 - 8352x2 - 7408x - 736 | \( 2^{14}\cdot 11^{8}\cdot 467^{6} \) | $A_6$ (as 15T20) | Trivial (GRH) |