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Results (displaying all 8 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 20.0.439234614592946176000000.1 | x20 - 2x18 - 7x16 - 2x14 + 28x12 + 52x10 + 55x8 + 38x6 + 19x4 + 2x2 + 1 | \( 2^{20}\cdot 5^{6}\cdot 173^{6} \) | 20T201 | $[2]$ |
| 20.0.509354311036569656601083904.1 | x20 - 4x19 - 2x18 + 24x17 - 30x16 - 12x15 + 192x14 - 228x13 - 537x12 + 724x11 + 854x10 - 980x9 - 798x8 + 696x7 + 408x6 - 300x5 - 87x4 + 96x3 - 2x2 - 16x + 4 | \( 2^{38}\cdot 3^{32} \) | 20T201 | Trivial (GRH) |
| 20.4.1596716694120693760000000000.1 | x20 - 6x19 + 17x18 - 42x17 + 101x16 - 156x15 - 6x14 + 696x13 - 1987x12 + 3650x11 - 5417x10 + 6882x9 - 7257x8 + 6056x7 - 3910x6 + 1964x5 - 781x4 + 246x3 - 59x2 + 10x - 1 | \( 2^{38}\cdot 5^{10}\cdot 29^{6} \) | 20T201 | Trivial (GRH) |
| 20.4.37505108549012973893510496256.1 | x20 - 2x19 - 11x18 + 16x17 + 62x16 - 184x14 + 80x13 + 215x12 - 94x11 - 673x10 + 192x9 - 476x8 + 652x7 + 386x6 + 80x5 - 162x4 - 116x3 + 6x2 + 16x + 4 | \( 2^{54}\cdot 113^{6} \) | 20T201 | Trivial (GRH) |
| 20.8.671088640000000000000000000000.1 | x20 - 10x18 + 45x16 - 200x14 + 410x12 - 1340x10 + 650x8 - 3400x6 + 9525x4 - 5450x2 + 25 | \( 2^{48}\cdot 5^{22} \) | 20T201 | Trivial (GRH) |
| 20.8.672404703371624556289949958144.1 | x20 - 4x19 + 10x18 - 12x17 - 45x16 + 244x15 - 652x14 + 1012x13 - 641x12 - 1288x11 + 4372x10 - 6068x9 + 3763x8 + 2060x7 - 7070x6 + 7872x5 - 5071x4 + 1820x3 - 316x2 + 16x + 1 | \( 2^{38}\cdot 3^{10}\cdot 23^{10} \) | 20T201 | Trivial (GRH) |
| 20.20.25256886457092151447506023978226149228544.1 | x20 - 80x18 + 2481x16 - 38928x14 + 342348x12 - 1756320x10 + 5304924x8 - 9388512x6 + 9347172x4 - 4643456x2 + 806404 | \( 2^{70}\cdot 3^{16}\cdot 89^{6} \) | 20T201 | Trivial (GRH) |
| 20.20.3108100390178909231545231736202854400000000.1 | x20 - 96x18 + 3780x16 - 78696x14 + 930918x12 - 6252552x10 + 22526100x8 - 38331864x6 + 22734657x4 - 3857880x2 + 7056 | \( 2^{56}\cdot 3^{28}\cdot 5^{8}\cdot 13^{6} \) | 20T201 | Trivial (GRH) |