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Results (displaying all 4 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 15.3.334095024862954369.1 | x15 - 2x14 + 3x13 - 5x12 + x11 - 19x10 + 16x9 - 26x8 + 55x7 - 78x6 + 88x5 - 54x4 + 39x3 - 52x2 + 21x - 1 | \( 7^{12}\cdot 17^{6} \) | $D_5\times C_3$ (as 15T3) | Trivial |
| 15.3.3044861534083891921.1 | x15 - 2x14 + 2x13 - 2x11 + 12x10 + 37x9 + 2x8 + 37x7 - 37x6 - 39x5 + 47x4 - 22x3 + 6x2 - 1 | \( 7^{10}\cdot 47^{6} \) | $D_5\times C_3$ (as 15T3) | Trivial |
| 15.15.859597094013128457246001.1 | x15 - 2x14 - 32x13 + 54x12 + 347x11 - 483x10 - 1679x9 + 1890x8 + 3855x7 - 3407x6 - 4257x5 + 2719x4 + 2199x3 - 896x2 - 413x + 97 | \( 7^{12}\cdot 199^{6} \) | $D_5\times C_3$ (as 15T3) | Trivial (GRH) |
| 15.15.1174482731945113540672849.1 | x15 - x14 - 27x13 + 22x12 + 230x11 - 157x10 - 760x9 + 399x8 + 1014x7 - 476x6 - 540x5 + 238x4 + 94x3 - 33x2 - 6x + 1 | \( 7^{10}\cdot 401^{6} \) | $D_5\times C_3$ (as 15T3) | Trivial (GRH) |