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Results (displaying all 6 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 14.0.3332000199986667.1 | x14 - 2x13 - 3x12 + 8x11 + 3x10 - 11x9 - x8 + 7x7 + 5x6 + x5 - 5x4 - 3x3 + 4x2 + 4x + 1 | \( -\,3^{7}\cdot 11^{4}\cdot 101^{4} \) | $SO(3,7)$ (as 14T16) | Trivial |
| 14.0.146081389744226304.1 | x14 - 2x13 + 2x12 + 8x11 - 7x10 - 14x9 + 38x8 - 16x7 - 35x6 + 46x5 - 2x4 - 40x3 + 37x2 - 14x + 2 | \( -\,2^{38}\cdot 3^{12} \) | $SO(3,7)$ (as 14T16) | Trivial |
| 14.6.9269035929372191597.1 | x14 - 6x13 + 12x12 - 8x11 - 11x10 + 61x9 - 142x8 + 239x7 - 391x6 + 486x5 - 382x4 + 203x3 - 70x2 + 13x - 1 | \( 53^{11} \) | $SO(3,7)$ (as 14T16) | Trivial |
| 14.6.5517907805219086266381.1 | x14 - 7x13 + 7x12 + 35x11 - 77x10 + 35x9 + 147x8 - 309x7 + 21x6 + 308x5 - 203x4 + 140x3 + 49x2 - 322x - 68 | \( 3^{19}\cdot 7^{15} \) | $SO(3,7)$ (as 14T16) | Trivial |
| 14.14.25274400415906969681920000.1 | x14 - 52x12 - 52x11 + 932x10 + 1864x9 - 5660x8 - 19688x7 - 4939x6 + 48280x5 + 71236x4 + 29324x3 - 11918x2 - 12912x - 2788 | \( 2^{33}\cdot 3^{4}\cdot 5^{4}\cdot 491^{4} \) | $SO(3,7)$ (as 14T16) | Trivial (GRH) |
| 14.14.140853143950073056750358785425408.1 | x14 - 126x12 - 70x11 + 5208x10 + 3864x9 - 96992x8 - 79686x7 + 889644x6 + 737478x5 - 3976098x4 - 3152520x3 + 7393869x2 + 5217534x - 2795274 | \( 2^{18}\cdot 3^{8}\cdot 7^{15}\cdot 29^{7} \) | $SO(3,7)$ (as 14T16) | $[2]$ (GRH) |