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Results (displaying all 4 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 20.0.1597098119556903839111328125.1 | x20 - 5x19 + 25x18 - 65x17 + 155x16 - 344x15 + 735x14 - 1155x13 + 2515x12 - 5995x11 + 11436x10 - 15605x9 + 15660x8 - 11360x7 + 6125x6 - 2544x5 + 900x4 - 255x3 + 60x2 - 10x + 1 | \( 5^{27}\cdot 11^{8} \) | $C_5\times C_5:C_4$ (as 20T25) | Trivial |
| 20.0.119897383984074477569580078125.1 | x20 - 6x19 + 30x18 - 100x17 + 285x16 - 662x15 + 1266x14 - 1564x13 + 1560x12 - 2105x11 + 4112x10 - 6402x9 + 7316x8 - 5906x7 + 3515x6 - 1610x5 + 643x4 - 206x3 + 52x2 - 9x + 1 | \( 5^{15}\cdot 211^{8} \) | $C_5\times C_5:C_4$ (as 20T25) | $[11]$ |
| 20.20.1674678757812500000000000000000000.1 | x20 - 35x18 + 500x16 - 3735x14 + 15485x12 - 34730x10 + 37840x8 - 16450x6 + 2800x4 - 200x2 + 5 | \( 2^{20}\cdot 5^{27}\cdot 11^{8} \) | $C_5\times C_5:C_4$ (as 20T25) | Trivial (GRH) |
| 20.20.2829356741780348122119903564453125.1 | x20 - 5x19 - 50x18 + 225x17 + 1140x16 - 4174x15 - 15180x14 + 40885x13 + 124360x12 - 228115x11 - 617264x10 + 754985x9 + 1778530x8 - 1588305x7 - 2831085x6 + 2212556x5 + 2195650x4 - 1829365x3 - 484030x2 + 592885x - 103589 | \( 5^{27}\cdot 11^{14} \) | $C_5\times C_5:C_4$ (as 20T25) | Trivial (GRH) |