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Results (displaying all 4 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 21.5.115368463283917314495572165601.1 | x21 - 6x20 + 61x18 - 66x17 - 276x16 + 428x15 + 753x14 - 1425x13 - 1350x12 + 3009x11 + 1563x10 - 4228x9 - 1029x8 + 3927x7 + 143x6 - 2298x5 + 384x4 + 686x3 - 288x2 - 21x + 31 | \( 3^{32}\cdot 53^{8} \) | $A_7$ (as 21T33) | Trivial (GRH) |
| 21.5.159763501833017076073675531441.1 | x21 - 2x20 - 2x19 + 26x18 - 25x17 - 37x16 + 153x15 - 69x14 - 124x13 + 277x12 - 70x11 - 106x10 + 228x9 - 76x8 - 41x7 + 116x6 - 32x5 - 16x4 + 25x3 - 2x2 - 2x + 1 | \( 11^{14}\cdot 29^{10} \) | $A_7$ (as 21T33) | Trivial (GRH) |
| 21.21.4443788844232727236822935152611411648255209.1 | x21 - 6x20 - 45x19 + 304x18 + 681x17 - 5892x16 - 2835x15 + 55011x14 - 24204x13 - 253860x12 + 274332x11 + 500406x10 - 903062x9 - 112956x8 + 1002705x7 - 558462x6 - 98895x5 + 163020x4 - 32917x3 - 5658x2 + 2316x - 173 | \( 3^{32}\cdot 547^{10} \) | $A_7$ (as 21T33) | $[2]$ (GRH) |
| 21.21.5849237178513966970769296632946293201918921.1 | x21 - 3x20 - 65x19 + 151x18 + 1727x17 - 3019x16 - 24355x15 + 31328x14 + 199461x13 - 184556x12 - 979409x11 + 630480x10 + 2868715x9 - 1213360x8 - 4787032x7 + 1195047x6 + 4026302x5 - 482093x4 - 1211172x3 + 65247x2 + 18885x - 477 | \( 3^{28}\cdot 29^{8}\cdot 59^{10} \) | $A_7$ (as 21T33) | Trivial (GRH) |