Further refine search
Results (displaying all 4 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 15.3.13620251566406250000000000.1 | x15 - 48x5 - 32 | \( 2^{10}\cdot 3^{20}\cdot 5^{18} \) | $(C_5^2 : C_3):C_4$ (as 15T17) | Trivial (GRH) |
| 15.3.8512657229003906250000000000.1 | x15 - 15x13 + 90x11 - 3x10 - 275x9 + 30x8 + 450x7 - 105x6 - 480x5 + 150x4 + 650x3 - 75x2 - 525x + 215 | \( 2^{10}\cdot 3^{20}\cdot 5^{22} \) | $(C_5^2 : C_3):C_4$ (as 15T17) | $[5]$ (GRH) |
| 15.15.4784085378423726986844140625000000000000000000.1 | x15 - 795x13 + 251280x11 - 51744x10 - 40279125x9 + 29265150x8 + 3446799750x7 - 5720024250x6 - 149071347765x5 + 454167461250x4 + 2393031337125x3 - 12481912260000x2 + 13359019608000x + 4147330876900 | \( 2^{18}\cdot 3^{20}\cdot 5^{26}\cdot 37^{8} \) | $(C_5^2 : C_3):C_4$ (as 15T17) | Trivial (GRH) |
| 15.15.224153655922799764834770035947265625000000000000000000.1 | x15 - 2775x13 + 3080250x11 - 1319790x10 - 1741196875x9 + 2441611500x8 + 527107781250x7 - 1580943446250x6 - 81279655885875x5 + 417820767937500x4 + 5027100198340625x3 - 38648421034218750x2 - 2944424066062500x + 354600210318775000 | \( 2^{18}\cdot 3^{20}\cdot 5^{28}\cdot 37^{12} \) | $(C_5^2 : C_3):C_4$ (as 15T17) | Trivial (GRH) |