Further refine search
Results (displaying all 4 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 20.0.625585863706044283224064.1 | x20 - 6x18 + 11x16 + 2x14 - 43x12 + 102x10 - 146x8 + 134x6 - 84x4 + 32x2 + 1 | \( 2^{30}\cdot 17^{12} \) | $A_5$ (as 20T15) | Trivial |
| 20.0.379905730677204894858870784.1 | x20 - 10x19 + 56x18 - 218x17 + 643x16 - 1494x15 + 2800x14 - 4298x13 + 5465x12 - 5814x11 + 5242x10 - 4092x9 + 2856x8 - 1830x7 + 1078x6 - 550x5 + 225x4 - 50x3 + 6x2 - 4x + 2 | \( 2^{30}\cdot 29^{12} \) | $A_5$ (as 20T15) | Trivial |
| 20.20.28589872137663846814553020398335096449.1 | x20 - 5x19 - 57x18 + 200x17 + 1122x16 - 2859x15 - 9033x14 + 20641x13 + 28417x12 - 79221x11 - 12858x10 + 134055x9 - 74283x8 - 57223x7 + 73078x6 - 20117x5 - 4435x4 + 2805x3 - 177x2 - 51x + 1 | \( 19^{10}\cdot 293^{10} \) | $A_5$ (as 20T15) | $[6]$ (GRH) |
| 20.20.33622220606157460929453372955322265625.1 | x20 - 10x19 - 15x18 + 355x17 - 85x16 - 5333x15 + 2720x14 + 43940x13 - 16315x12 - 212780x11 + 16401x10 + 594910x9 + 152230x8 - 860395x7 - 495745x6 + 452545x5 + 436755x4 + 69475x3 - 18175x2 - 4575x - 115 | \( 5^{26}\cdot 41^{12} \) | $A_5$ (as 20T15) | $[2]$ (GRH) |