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Results (displaying both matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 21.5.14720060085349067194568080398784262958628864.1 | x21 - 2x20 - 31x19 + 14x18 + 391x17 + 839x16 - 3642x15 - 12906x14 + 21946x13 + 71319x12 - 68080x11 - 360180x10 + 640978x9 + 2101569x8 - 6970238x7 - 4352809x6 + 28605427x5 + 1130039x4 - 63367644x3 - 20310040x2 + 139664899x - 45933317 | \( 2^{14}\cdot 37^{2}\cdot 71^{4}\cdot 211^{2}\cdot 8623^{4}\cdot 10243^{2} \) | 21T150 | $[3]$ (GRH) |
| 21.13.196208035369411570382550543050019044909992791705066150049.1 | x21 - x20 - 304x19 - 413x18 + 34314x17 + 117219x16 - 1743527x15 - 9541780x14 + 35594638x13 + 331886321x12 + 20844962x11 - 5313800527x10 - 11484708658x9 + 30607568115x8 + 153656682539x7 + 104733558293x6 - 546519412854x5 - 1364234905323x4 - 1010634995530x3 + 332251716097x2 + 766749346364x + 218368123153 | \( 29^{6}\cdot 31^{4}\cdot 43^{2}\cdot 193^{2}\cdot 271^{2}\cdot 4391^{4}\cdot 13782217^{2} \) | 21T150 | $[3]$ (GRH) |