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Results (displaying all 10 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 13.5.28261626739249.1 | x13 - 3x12 + 3x11 + 3x10 - 13x9 + 14x8 + 2x7 - 20x6 + 18x5 + x4 - 11x3 + 6x2 + x - 1 | \( 2161\cdot 13078031809 \) | $S_{13}$ (as 13T9) | Trivial |
| 13.5.28318356165577.1 | x13 - 3x11 - 4x10 + 2x9 + 9x8 + 6x7 - 4x6 - 10x5 - 3x4 + 4x3 + 4x2 - 1 | \( 1721\cdot 16454593937 \) | $S_{13}$ (as 13T9) | Trivial |
| 13.5.132939170094109.1 | x13 - x12 - x11 - 3x10 + x9 + 5x8 + 5x7 + 3x6 - 7x5 - 7x4 - 4x3 + 2x2 + 4x + 1 | \( 132939170094109 \) | $S_{13}$ (as 13T9) | Trivial |
| 13.5.197683647463424.1 | x13 - 2x12 + x11 - 3x10 - 5x9 + 7x8 + 2x7 + 6x6 + 4x5 - 6x4 - 8x3 + 6x - 2 | \( 2^{14}\cdot 12065652311 \) | $S_{13}$ (as 13T9) | Trivial |
| 13.5.1204994394291500.1 | x13 - 3x12 + 2x10 + 6x9 - 9x7 - 3x6 + x5 + 4x4 - 8x3 - 3x2 + 3x + 1 | \( 2^{2}\cdot 5^{3}\cdot 83\cdot 11171\cdot 2599231 \) | $S_{13}$ (as 13T9) | Trivial |
| 13.5.5020153876560896.1 | x13 - 4x12 + 13x10 + 6x9 - 39x8 - 16x7 + 54x6 + 45x5 - 47x4 - 48x3 + 9x2 + 24x + 4 | \( 2^{10}\cdot 83\cdot 173\cdot 341423081 \) | $S_{13}$ (as 13T9) | Trivial |
| 13.5.5749519947196921.1 | x13 - 2x12 - 3x11 + 7x10 + 5x9 - 16x8 - 6x7 + 18x6 + 2x5 - 16x4 - 4x3 + 7x2 + x - 1 | \( 7^{4}\cdot 241^{2}\cdot 6421^{2} \) | $A_{13}$ (as 13T8) | Trivial |
| 13.5.274918279650903001.1 | x13 - 3x11 - 2x10 + 2x9 + 4x8 - 2x7 - 3x6 - x5 + 3x4 - 4x2 + 1 | \( 47^{2}\cdot 89^{2}\cdot 163^{2}\cdot 769^{2} \) | $A_{13}$ (as 13T8) | Trivial |
| 13.5.8423789045905096704.1 | x13 - x12 - 3x11 - 7x10 + 37x9 - 9x8 - 168x7 + 24x6 + 396x5 + 20x4 - 128x3 + 192x2 - 176x - 16 | \( 2^{28}\cdot 3^{22} \) | $\PSL(3,3)$ (as 13T7) | Trivial |
| 13.5.8423789045905096704.2 | x13 - 2x12 - 8x10 + 55x9 - 90x8 - 108x7 + 684x6 - 1341x5 + 1526x4 - 1090x3 + 468x2 - 100x + 8 | \( 2^{28}\cdot 3^{22} \) | $\PSL(3,3)$ (as 13T7) | Trivial |