Further refine search
Results (displaying all 8 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 15.3.31123779291971584.1 | x15 + x13 - x12 - 5x11 - 4x10 - 5x9 - x8 + 4x7 + 2x6 - 2x5 - 4x4 - 5x3 - 4x2 - 3x - 1 | \( 2^{18}\cdot 587^{4} \) | 15T28 | Trivial |
| 15.3.47090024679574321.1 | x15 - x12 - x11 - x8 - 2x7 + 2x5 + 3x4 + 2x3 - x - 1 | \( 14731^{4} \) | 15T28 | Trivial |
| 15.3.69184806150882304.1 | x15 + x13 - 3x12 - 3x11 - 5x10 - 2x9 + 3x8 + 7x7 + 4x6 + x5 + x4 + 3x3 + x2 - 1 | \( 2^{10}\cdot 47^{4}\cdot 61^{4} \) | 15T28 | Trivial |
| 15.3.146928604515779584.1 | x15 - 2x14 - 3x13 + 9x12 - x11 - 5x10 + 4x9 - x8 + x7 - x5 - x4 + 7x3 - x2 + 1 | \( 2^{10}\cdot 3461^{4} \) | 15T28 | Trivial |
| 15.7.2975546764864246329.1 | x15 - x14 - 12x13 + 13x12 + 52x11 - 59x10 - 97x9 + 105x8 + 80x7 - 53x6 - 50x5 + 4x4 + 9x3 + 3x2 + 3x + 1 | \( 3^{6}\cdot 7993^{4} \) | 15T28 | Trivial |
| 15.7.14145782123826827881.1 | x15 - x14 + 12x12 - 13x11 + 2x10 + 20x9 - 22x8 + x7 - 80x6 + 90x5 - x4 + x3 - 10x2 + 1 | \( 11^{6}\cdot 41^{8} \) | 15T28 | Trivial |
| 15.15.123374497805640685368241.1 | x15 - 5x14 - 9x13 + 68x12 - 10x11 - 274x10 + 184x9 + 429x8 - 405x7 - 242x6 + 311x5 + 17x4 - 83x3 + 13x2 + 5x - 1 | \( 592661^{4} \) | 15T28 | Trivial (GRH) |
| 15.15.538669224823562138423296.1 | x15 - x14 - 27x13 + 48x12 + 193x11 - 437x10 - 463x9 + 1422x8 + 309x7 - 2017x6 + 137x5 + 1354x4 - 184x3 - 420x2 + 40x + 46 | \( 2^{12}\cdot 71^{6}\cdot 179^{4} \) | 15T28 | Trivial (GRH) |