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Results (displaying both matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 21.21.390762838128733167622487963828338403047536241.1 | x21 - 7x20 - 147x19 + 1099x18 + 6664x17 - 62440x16 - 60319x15 + 1538209x14 - 2585002x13 - 13332074x12 + 55589450x11 - 30887948x10 - 234382540x9 + 649246766x8 - 737037653x7 + 302292949x6 + 155541057x5 - 204133993x4 + 45757012x3 + 21272244x2 - 8786043x + 22707 | \( 7^{32}\cdot 29^{12} \) | $C_7:(C_7:C_3)$ (as 21T12) | Trivial (GRH) |
| 21.21.232434849099118488288057964926900122812572027739476361.1 | x21 - 609x19 + 158949x17 - 23218328x15 - 350610x14 + 2079406140x13 + 142347660x12 - 117590417217x11 - 22704451770x10 + 4167927010247x9 + 1795715730900x8 - 88767002725137x7 - 72906058674540x6 + 1032834108286134x5 + 1409517134374440x4 - 5168916513642035x3 - 10218999224214690x2 + 2797998936825036x + 10374903606295432 | \( 7^{32}\cdot 29^{18} \) | $C_7:(C_7:C_3)$ (as 21T12) | $[7]$ (GRH) |