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Results (displaying all 4 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 15.3.41809707512822766609.1 | x15 + 6x13 - 6x12 + 9x11 - 21x10 - 21x9 - 27x8 - 78x7 - 17x6 - 72x5 - 24x4 - 18x3 - 18x2 - 3 | \( 3^{24}\cdot 23^{6} \) | $\GL(2,4)$ (as 15T16) | Trivial |
| 15.3.42748173253207620961.1 | x15 - 3x14 + 2x13 + 5x12 - 16x11 - 47x10 - 40x9 + 5x8 + 29x7 + 38x6 + 61x5 + 81x4 + 72x3 + 39x2 + 11x + 1 | \( 7^{10}\cdot 73^{6} \) | $\GL(2,4)$ (as 15T16) | $[3]$ |
| 15.15.23775427618300208865265216.1 | x15 - 5x14 - 28x13 + 152x12 + 176x11 - 1487x10 + 469x9 + 5132x8 - 5065x7 - 4815x6 + 7386x5 + 349x4 - 2933x3 + 387x2 + 267x + 13 | \( 2^{6}\cdot 7^{10}\cdot 331^{6} \) | $\GL(2,4)$ (as 15T16) | Trivial (GRH) |
| 15.15.28424095136369691319629376.1 | x15 - 2x14 - 41x13 + 125x12 + 437x11 - 2057x10 + 153x9 + 10144x8 - 16303x7 + 721x6 + 23221x5 - 28390x4 + 16191x3 - 4896x2 + 736x - 41 | \( 2^{6}\cdot 7^{10}\cdot 11^{6}\cdot 31^{6} \) | $\GL(2,4)$ (as 15T16) | Trivial (GRH) |