Further refine search
Results (displaying all 4 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 15.3.3721413221257087109673.1 | x15 - 9x13 - 6x12 + 9x11 + 12x10 + 4x9 - 81x7 - 216x6 - 459x5 - 906x4 - 1096x3 - 720x2 - 240x - 32 | \( 3^{22}\cdot 17^{9} \) | 15T41 | Trivial |
| 15.3.4519970640521742635008.1 | x15 - x14 + 5x13 + x12 - 5x11 + 23x10 - 141x9 - 147x8 - 401x7 - 555x6 + 83x5 + 1539x4 + 1125x3 + 645x2 + 133x + 31 | \( 2^{12}\cdot 13^{9}\cdot 101^{4} \) | 15T41 | Trivial |
| 15.15.754028656648743080619365695488.1 | x15 - 60x13 - 30x12 + 1440x11 + 1440x10 - 17254x9 - 25920x8 + 102744x7 + 213244x6 - 237600x5 - 763296x4 - 87876x3 + 847296x2 + 515376x - 8032 | \( 2^{16}\cdot 3^{20}\cdot 53^{9} \) | 15T41 | Trivial (GRH) |
| 15.15.74477753552789740125000000000000.1 | x15 - 5x14 - 130x13 + 680x12 + 4795x11 - 22891x10 - 81630x9 + 307730x8 + 699700x7 - 1750400x6 - 2594116x5 + 4119760x4 + 2177500x3 - 4274080x2 + 1700980x - 210244 | \( 2^{12}\cdot 3^{16}\cdot 5^{15}\cdot 7^{12} \) | 15T41 | $[3]$ (GRH) |