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Results (displaying all 8 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 15.1.196421600341796875.1 | x15 - x10 + 1 | \( -\,5^{15}\cdot 23^{5} \) | 15T27 | Trivial |
| 15.1.873692352294921875.1 | x15 + x5 - 1 | \( -\,5^{15}\cdot 31^{5} \) | 15T27 | Trivial |
| 15.3.6154112798000000000.1 | x15 - 7x10 + 9x5 + 1 | \( 2^{10}\cdot 5^{9}\cdot 79^{5} \) | 15T27 | Trivial |
| 15.5.103907026580810546875.1 | x15 - 15x13 + 90x11 - 3x10 - 275x9 + 30x8 + 450x7 - 105x6 - 373x5 + 150x4 + 115x3 - 75x2 + 10x + 1 | \( -\,5^{15}\cdot 23^{7} \) | 15T27 | Trivial |
| 15.5.608974093750000000000.1 | x15 - 15x13 + 90x11 - x10 - 275x9 + 10x8 + 450x7 - 35x6 - 376x5 + 50x4 + 130x3 - 25x2 - 5x - 1 | \( -\,2^{10}\cdot 5^{15}\cdot 11^{7} \) | 15T27 | Trivial (GRH) |
| 15.3.2166998656250000000000.1 | x15 - x10 - 5x5 + 1 | \( 2^{10}\cdot 5^{15}\cdot 37^{5} \) | 15T27 | Trivial (GRH) |
| 15.15.24616451192000000000000000.1 | x15 - 30x13 + 360x11 - 26x10 - 2200x9 + 520x8 + 7200x7 - 3640x6 - 11790x5 + 10400x4 + 5900x3 - 10400x2 + 4200x - 496 | \( 2^{18}\cdot 5^{15}\cdot 79^{5} \) | 15T27 | Trivial (GRH) |
| 15.15.153631271889272000000000000000.1 | x15 - 50x13 + 890x11 - 174x10 - 7300x9 + 2960x8 + 28900x7 - 14660x6 - 55334x5 + 26400x4 + 47920x3 - 12800x2 - 16000x - 2176 | \( 2^{18}\cdot 5^{15}\cdot 79^{7} \) | 15T27 | Trivial (GRH) |