Further refine search
Results (displaying all 8 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 23.1.87579030453634096837343451956922810368.1 | x23 - 2 | \( -\,2^{22}\cdot 23^{23} \) | $F_{23}$ (as 23T4) | Trivial (GRH) |
| 23.1.1019554101555073829802491841336279296875.1 | x23 + 23x21 + 230x19 + 1311x17 + 4692x15 + 10948x13 + 16744x11 + 16445x9 + 9867x7 + 3289x5 + 506x3 + 23x - 1 | \( -\,5^{11}\cdot 23^{23} \) | $F_{23}$ (as 23T4) | Trivial (GRH) |
| 23.1.655251210967044330484283743635659792988303.1 | x23 - 3 | \( -\,3^{22}\cdot 23^{23} \) | $F_{23}$ (as 23T4) | Trivial (GRH) |
| 23.1.49782915114993839345824796940248012542724609375.1 | x23 - 5 | \( -\,5^{22}\cdot 23^{23} \) | $F_{23}$ (as 23T4) | Trivial (GRH) |
| 23.1.2748322775163917903527553243066022412370011226112.1 | x23 - 6 | \( -\,2^{22}\cdot 3^{22}\cdot 23^{23} \) | $F_{23}$ (as 23T4) | Trivial (GRH) |
| 23.1.81638893290068890572212073312099819824078246813783.1 | x23 - 7 | \( -\,7^{22}\cdot 23^{23} \) | $F_{23}$ (as 23T4) | Trivial (GRH) |
| 23.23.208804679998479120343550329105670000000000000000000000.1 | x23 - 115x21 + 5750x19 - 163875x17 + 2932500x15 - 34212500x13 + 261625000x11 - 1284765625x9 + 3854296875x7 - 6423828125x5 + 4941406250x3 - 1123046875x - 218280250 | \( 2^{22}\cdot 5^{22}\cdot 23^{23} \) | $F_{23}$ (as 23T4) | Trivial (GRH) |
| 23.23.281289734904574222488347652007286105552626963997840714384801792.1 | x23 - 299x21 + 38870x19 - 2880267x17 + 134008212x15 - 4064915764x13 + 80820089896x11 - 1031899362065x9 + 8048815024107x7 - 34878198437797x5 + 69756396875594x3 - 41219689062851x - 12722733426052 | \( 2^{22}\cdot 13^{22}\cdot 23^{23} \) | $F_{23}$ (as 23T4) | Trivial (GRH) |