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Results (displaying both matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 21.21.4723624648173806587548558901725364224.1 | x21 - 3x20 - 57x19 + 208x18 + 1017x17 - 4470x16 - 6390x15 + 37887x14 + 15282x13 - 158528x12 - 1233x11 + 354021x10 - 59437x9 - 428406x8 + 104895x7 + 270894x6 - 71394x5 - 79299x4 + 18503x3 + 7767x2 - 1188x - 19 | \( 2^{18}\cdot 3^{28}\cdot 31^{12} \) | $C_3\times C_7:C_3$ (as 21T7) | Trivial (GRH) |
| 21.21.7104507042655360857983379370527686656.1 | x21 - 8x20 - 26x19 + 362x18 - 210x17 - 5560x16 + 10446x15 + 37382x14 - 105928x13 - 111352x12 + 494124x11 + 77632x10 - 1188672x9 + 302096x8 + 1451596x7 - 663064x6 - 803144x5 + 470904x4 + 128848x3 - 105968x2 + 12440x + 104 | \( 2^{18}\cdot 7^{14}\cdot 43^{12} \) | $C_3\times C_7:C_3$ (as 21T7) | Trivial (GRH) |