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Results (displaying all 4 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 20.0.13936805290105078002151559671054336.1 | x20 - 2x19 + 2x18 + 4x17 + 90x16 - 100x15 + 340x14 - 216x13 + 1704x12 + 208x11 + 4144x10 + 848x9 + 7512x8 - 1024x7 + 6032x6 - 3104x5 + 3600x4 - 1344x3 + 480x2 + 32 | \( 2^{30}\cdot 7^{10}\cdot 11^{16} \) | $C_5\times A_4$ (as 20T14) | Trivial (GRH) |
| 20.0.61860941990830221086345856337890625.1 | x20 - x19 - 4x18 - 9x17 + 40x16 + 38x15 - 353x14 + 132x13 + 2003x12 + 428x11 - 4601x10 - 9617x9 + 18106x8 + 6013x7 - 28464x6 + 21165x5 + 34436x4 - 9024x3 - 1728x2 - 2304x + 1024 | \( 5^{10}\cdot 11^{16}\cdot 13^{10} \) | $C_5\times A_4$ (as 20T14) | $[2]$ (GRH) |
| 20.20.608357696176518435903681459502978907689.1 | x20 - x19 - 54x18 + 39x17 + 1162x16 - 590x15 - 12841x14 + 4472x13 + 78424x12 - 18184x11 - 265853x10 + 38670x9 + 479629x8 - 35258x7 - 425102x6 - 2135x5 + 161071x4 + 17687x3 - 18671x2 - 3172x + 89 | \( 11^{16}\cdot 163^{10} \) | $C_5\times A_4$ (as 20T14) | Trivial (GRH) |
| 20.20.1935503049159664173634294979108883566289.1 | x20 - 4x19 - 45x18 + 167x17 + 788x16 - 2640x15 - 7020x14 + 20694x13 + 35038x12 - 88642x11 - 101908x10 + 213724x9 + 174189x8 - 285884x7 - 172211x6 + 198770x5 + 94551x4 - 62457x3 - 25936x2 + 6887x + 2707 | \( 3^{10}\cdot 11^{16}\cdot 61^{10} \) | $C_5\times A_4$ (as 20T14) | Trivial (GRH) |