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Results (displaying all 4 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 15.3.872411699045053489.1 | x15 - x14 - 10x12 + 17x11 - 6x10 - 17x9 + 35x8 - 10x7 - 19x6 + 23x5 - 16x4 - 5x3 + 10x2 - 4x + 1 | \( 7^{8}\cdot 73^{6} \) | $\GL(2,4)$ (as 15T15) | Trivial |
| 15.3.872411699045053489.2 | x15 - 4x14 + 10x13 - 12x12 + 5x11 + 9x10 - 5x9 - 17x8 + 21x7 + 4x6 - 27x5 + 17x4 - 10x3 + 7x2 - x + 1 | \( 7^{8}\cdot 73^{6} \) | $\GL(2,4)$ (as 15T15) | Trivial |
| 15.15.1084436136203703749597157948009.1 | x15 - 72x13 - 104x12 + 1827x11 + 5091x10 - 15385x9 - 74160x8 - 28503x7 + 259443x6 + 396594x5 - 64647x4 - 586080x3 - 509652x2 - 173151x - 20691 | \( 3^{24}\cdot 11^{10}\cdot 23^{6} \) | $\GL(2,4)$ (as 15T15) | Trivial (GRH) |
| 15.15.1084436136203703749597157948009.2 | x15 - 72x13 - 13x12 + 1827x11 + 525x10 - 19165x9 - 6696x8 + 74394x7 + 32521x6 - 112068x5 - 53361x4 + 60236x3 + 22869x2 - 9438x - 121 | \( 3^{24}\cdot 11^{10}\cdot 23^{6} \) | $\GL(2,4)$ (as 15T15) | Trivial (GRH) |