Further refine search
Results (displaying all 4 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 18.0.189763856901384950886247.1 | x18 - 2x17 - 2x16 + 31x15 - 24x14 - 91x13 + 259x12 + 6x11 - 586x10 + 373x9 + 529x8 + 213x7 - 2352x6 + 1533x5 + 3474x4 - 7270x3 + 5988x2 - 2458x + 421 | \( -\,7^{17}\cdot 13^{8} \) | $C_2\times C_9:C_3$ (as 18T14) | Trivial |
| 18.0.65701728236743660173798567.1 | x18 + 42x16 + 693x14 + 5761x12 + 26040x10 + 65772x8 + 90587x6 + 61257x4 + 15435x2 + 1183 | \( -\,3^{24}\cdot 7^{17} \) | $C_2\times C_9:C_3$ (as 18T14) | $[2, 2]$ |
| 18.18.1773946662392078824692561309.1 | x18 - 42x16 - 14x15 + 567x14 + 378x13 - 3339x12 - 3402x11 + 8505x10 + 12726x9 - 5481x8 - 18417x7 - 8008x6 + 5796x5 + 7770x4 + 3731x3 + 945x2 + 126x + 7 | \( 3^{27}\cdot 7^{17} \) | $C_2\times C_9:C_3$ (as 18T14) | Trivial (GRH) |
| 18.18.3735121995389959988293999701.1 | x18 - 2x17 - 37x16 + 87x15 + 529x14 - 1470x13 - 3542x12 + 12270x11 + 10019x10 - 52953x9 - 1627x8 + 114292x7 - 37793x6 - 119105x5 + 54518x4 + 52230x3 - 20493x2 - 5034x - 167 | \( 3^{9}\cdot 7^{17}\cdot 13^{8} \) | $C_2\times C_9:C_3$ (as 18T14) | Trivial (GRH) |