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Results (displaying all 6 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 16.4.4194304000000000000000000.1 | x16 - 4x15 + 20x13 - 20x12 - 20x11 + 100x9 + 10x8 - 300x7 + 352x6 - 68x5 - 140x4 + 100x3 - 20x + 5 | \( 2^{40}\cdot 5^{18} \) | $A_{16}$ (as 16T1953) | Trivial |
| 16.4.4194304000000000000000000.2 | x16 - 4x15 + 20x13 - 40x12 + 44x11 - 16x10 - 60x9 + 290x8 - 460x7 + 336x6 - 4x5 - 160x4 + 100x3 - 20x + 5 | \( 2^{40}\cdot 5^{18} \) | $A_{16}$ (as 16T1953) | Trivial |
| 16.0.640000000000000000000000000000.1 | x16 - 6x15 + 30x14 - 140x13 + 530x12 - 1522x11 + 3262x10 - 5080x9 + 2940x8 + 7670x7 - 1494x6 - 95116x5 + 366350x4 - 700350x3 + 822650x2 - 563280x + 169955 | \( 2^{34}\cdot 5^{28} \) | $A_{16}$ (as 16T1953) | Trivial (GRH) |
| 16.0.1805510340771840000000000000000.1 | x16 - 32768x + 61440 | \( 2^{38}\cdot 3^{16}\cdot 5^{16} \) | $A_{16}$ (as 16T1953) | Trivial (GRH) |
| 16.8.764760995596249771707719623311297085440000000000000000.1 | x16 - 648x14 + 21168x12 + 39488904x10 - 1225230300x8 - 857661210000x6 - 170131978800x4 - 66238050412800x3 + 41342070848400x2 + 837176934680100 | \( 2^{54}\cdot 3^{20}\cdot 5^{16}\cdot 7^{20} \) | $A_{16}$ (as 16T1953) | Trivial (GRH) |
| 16.12.76933748282119317062218648643177211504640000000000000000.1 | x16 + 40x14 + 1820x12 - 72436x11 - 40040x10 + 569140x9 + 150150x8 - 1138280x7 - 168168x6 + 724360x5 + 60060x4 - 139300x3 - 5720x2 + 5572x + 65 | \( 2^{26}\cdot 5^{16}\cdot 7^{12}\cdot 13^{24} \) | $A_{16}$ (as 16T1953) | Trivial (GRH) |