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Results (displaying all 7 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 15.1.154669958288795403.1 | x15 - x12 + 2x9 - 3x6 + 3x3 - 1 | \( -\,3^{15}\cdot 47^{6} \) | 15T43 | Trivial |
| 15.1.154669958288795403.2 | x15 - 2x12 + 2x9 - x6 + 1 | \( -\,3^{15}\cdot 47^{6} \) | 15T43 | Trivial |
| 15.3.7269488039573383941.1 | x15 + 3x13 - 5x12 + 9x11 - 15x10 - 20x9 + 45x8 - 165x7 + 216x6 - 351x5 + 336x4 - 242x3 + 81x2 - 15x + 1 | \( 3^{15}\cdot 47^{7} \) | 15T43 | Trivial |
| 15.3.7269488039573383941.2 | x15 + 6x13 - 4x12 + 9x11 + 3x10 - 18x9 + 45x8 - 126x7 + 216x6 - 324x5 + 243x4 - 205x3 + 90x2 - 30x + 11 | \( 3^{15}\cdot 47^{7} \) | 15T43 | Trivial |
| 15.5.6628916477715643169523.1 | x15 - 2x12 - 6x9 + 15x6 - 8x3 + 1 | \( -\,3^{13}\cdot 401^{6} \) | 15T43 | Trivial (GRH) |
| 15.5.59660248299440788525707.1 | x15 - 20x9 - 27x6 - 10x3 - 1 | \( -\,3^{15}\cdot 401^{6} \) | 15T43 | Trivial (GRH) |
| 15.15.691985919132121715398802656928813567369454726910003125.1 | x15 - x14 - 4452x13 - 50296x12 + 5784843x11 + 91964349x10 - 3060924423x9 - 54750997444x8 + 781942057449x7 + 14664282257229x6 - 102907697118067x5 - 1901998615798914x4 + 6977459265924253x3 + 113854569421380357x2 - 202156325407652112x - 2402311520555338669 | \( 3^{12}\cdot 5^{5}\cdot 79^{4}\cdot 401^{7}\cdot 50329^{4} \) | 15T43 | $[3]$ (GRH) |