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Results (displaying all 6 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 15.3.7086046715229147136.1 | x15 - 5x14 + 15x13 - 32x12 + 49x11 - 60x10 + 51x9 - 22x8 - 15x7 + 40x6 - 49x5 + 38x4 - 15x3 + 10x2 + 4x + 1 | \( 2^{12}\cdot 59^{2}\cdot 89^{6} \) | 15T77 | Trivial |
| 15.3.13355803647980015616.1 | x15 - x13 - 2x12 + x11 + 14x10 + 5x9 - 38x8 + 27x7 + 40x6 - 45x5 + 2x4 + 29x3 - 50x2 - 48x - 8 | \( 2^{12}\cdot 3^{8}\cdot 89^{6} \) | 15T77 | Trivial |
| 15.3.120182177011604744210558327193600.1 | x15 - 33x13 - 30x12 + 693x11 + 504x10 - 8809x9 - 3834x8 + 54000x7 + 5304x6 - 146160x5 + 14184x4 + 8474x3 - 102060x2 + 52920x - 15120 | \( 2^{24}\cdot 3^{20}\cdot 5^{2}\cdot 7^{2}\cdot 109^{6} \) | 15T77 | Trivial (GRH) |
| 15.3.9358470467826907480292426652317657025.1 | x15 - 399x13 - 1639x12 + 70290x11 + 683808x10 - 4048662x9 - 97420446x8 - 284869677x7 + 5421506331x6 + 53704370709x5 + 79169944845x4 - 1355688777592x3 - 8699479026975x2 - 20873986887750x - 18293453208700 | \( 3^{20}\cdot 5^{2}\cdot 13^{6}\cdot 29^{6}\cdot 193373^{2} \) | 15T77 | Trivial (GRH) |
| 15.15.183220640975323740990354036775850243373825724416.1 | x15 - 2421x13 - 4068x12 + 1758834x11 + 507384x10 - 494319186x9 + 707841504x8 + 61398938061x7 - 178724433528x6 - 3229600555881x5 + 12832994169828x4 + 56100971904048x3 - 290856136308192x2 + 166203506461824x + 332407012923648 | \( 2^{12}\cdot 3^{20}\cdot 11^{6}\cdot 13^{2}\cdot 157^{6}\cdot 887^{2}\cdot 1907^{2} \) | 15T77 | Trivial (GRH) |
| 15.15.2682533404519714891839773452435223413236182431174656.1 | x15 - 7599x13 - 91336x12 + 20821806x11 + 494149740x10 - 21753227652x9 - 850155338070x8 + 2179565290971x7 + 471963727156998x6 + 6060790547069841x5 - 42397281676187196x4 - 1756261687063060122x3 - 17963813846668521546x2 - 82917165854238062490x - 148757485284891230462 | \( 2^{12}\cdot 3^{20}\cdot 11^{10}\cdot 13^{2}\cdot 157^{6}\cdot 887^{2}\cdot 1907^{2} \) | 15T77 | Trivial (GRH) |