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Results (displaying all 7 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 15.7.2262670157726939535197184.1 | x15 + 12x13 - 8x12 + 9x11 - 12x10 - 185x9 + 378x8 - 495x7 + 704x6 - 405x5 - 522x4 + 1032x3 - 720x2 + 240x - 32 | \( 2^{10}\cdot 3^{12}\cdot 401^{6} \) | 15T80 | Trivial (GRH) |
| 15.3.2779992303417515664000000.1 | x15 - 15x13 - 6x12 + 90x11 + 72x10 - 262x9 - 324x8 + 333x7 + 1240x6 - 27x5 - 4038x4 + 760x3 + 5328x2 - 2928x - 3296 | \( 2^{10}\cdot 3^{12}\cdot 5^{6}\cdot 83^{6} \) | 15T80 | Trivial |
| 15.7.183276282775882102350971904.1 | x15 + 9x13 - 6x12 - 36x11 + 48x10 - 151x9 + 270x8 - 99x7 - 176x6 + 459x5 - 906x4 + 1096x3 - 720x2 + 240x - 32 | \( 2^{10}\cdot 3^{16}\cdot 401^{6} \) | 15T80 | Trivial (GRH) |
| 15.3.1433596119184117362506056704.1 | x15 + 3x13 - 2x12 - 45x11 + 60x10 - 776x9 + 1512x8 - 2547x7 + 4328x6 - 51003x5 + 158154x4 - 208744x3 + 138960x2 - 46320x + 6176 | \( 2^{10}\cdot 3^{20}\cdot 47^{6}\cdot 193^{2} \) | 15T80 | Trivial (GRH) |
| 15.11.1685974836844506513033699781395456.1 | x15 - 24x13 - 16x12 - 207x11 - 276x10 + 5713x9 + 11610x8 + 369x7 - 17936x6 - 101547x5 - 281706x4 - 365416x3 - 242640x2 - 80880x - 10784 | \( 2^{10}\cdot 3^{20}\cdot 337^{2}\cdot 401^{6} \) | 15T80 | Trivial (GRH) |
| 15.11.3128917033950916372142938576036281.1 | x15 + 9x13 - 6x12 - 2646x11 + 3528x10 + 6330x9 - 15012x8 + 1341405x7 - 3552616x6 - 7159347x5 + 34121178x4 - 47335848x3 + 31732560x2 - 10577520x + 1410336 | \( 3^{22}\cdot 59^{2}\cdot 83^{2}\cdot 401^{6} \) | 15T80 | Trivial (GRH) |
| 15.15.112060763989017760404926868179021718858129.1 | x15 - 954x13 - 3816x12 + 361017x11 + 2888136x10 - 61956576x9 - 812794176x8 + 3049062912x7 + 96468931584x6 + 372367343943x5 - 3036251842164x4 - 35580044129184x3 - 148771621883520x2 - 297543243767040x - 238034595013632 | \( 3^{20}\cdot 23^{2}\cdot 59^{2}\cdot 67^{2}\cdot 401^{6}\cdot 967^{2} \) | 15T80 | Trivial (GRH) |