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Results (displaying all 8 matches)

Label Polynomial Discriminant Galois group Class group
20.0.55154187683317729460224.1 x20 - 3x18 + 5x16 - x14 - 4x12 + 3x10 + 7x8 - 10x6 + 3x4 - x2 + 1 \( 2^{20}\cdot 47^{10} \) $C_2^4:D_5$ (as 20T43) Trivial
20.0.55154187683317729460224.2 x20 + x18 + 6x16 + 3x14 + 11x12 + 3x10 + 11x8 + 3x6 + 6x4 + x2 + 1 \( 2^{20}\cdot 47^{10} \) $C_2^4:D_5$ (as 20T43) Trivial
20.12.8708207022330414958663524081.1 x20 - 10x19 + 29x18 + 5x17 - 132x16 + 44x15 + 354x14 + 64x13 - 1412x12 + 1243x11 + 109x10 + 345x9 - 916x8 - 212x7 + 466x6 + 116x5 + 53x4 - 165x3 + x2 + 19x - 1 \( 3^{4}\cdot 401^{10} \) $C_2^4:D_5$ (as 20T43) Trivial (GRH)
20.4.8708207022330414958663524081.1 x20 - 6x19 + 11x18 + x17 - 8x16 - 42x15 - 54x14 + 460x13 - 141x12 - 1563x11 + 2133x10 - 91x9 - 1379x8 + 1233x7 - 2385x6 + 4777x5 - 5594x4 + 4008x3 - 1728x2 + 400x - 32 \( 3^{4}\cdot 401^{10} \) $C_2^4:D_5$ (as 20T43) Trivial
20.12.705364768808763611651745450561.1 x20 - 8x19 + 20x18 - 8x17 - 60x16 + 220x15 - 350x14 - 40x13 + 732x12 - 1120x11 + 1178x10 + 676x9 - 2919x8 + 1432x7 + 1324x6 - 1436x5 - 142x4 + 504x3 - 24x2 - 72x + 9 \( 3^{8}\cdot 401^{10} \) $C_2^4:D_5$ (as 20T43) Trivial (GRH)
20.4.3070556799565172612770233472561.1 x20 - 6x19 + 4x18 + 35x17 - 50x16 - 108x15 + 661x14 - 1955x13 + 4356x12 - 8556x11 + 14732x10 - 22104x9 + 25785x8 - 22354x7 + 9051x6 + 7654x5 - 16095x4 + 17249x3 - 6098x2 + 2208x + 2313 \( 13^{4}\cdot 401^{10} \) $C_2^4:D_5$ (as 20T43) $[2]$ (GRH)
20.20.2166421400000369059410353975835121.1 x20 - 10x19 + 11x18 + 186x17 - 652x16 - 292x15 + 4427x14 - 4663x13 - 8292x12 + 17083x11 + 1845x10 - 21452x9 + 8084x8 + 10593x7 - 6729x6 - 1527x5 + 1396x4 + 92x3 - 96x2 - 5x + 1 \( 67^{4}\cdot 401^{10} \) $C_2^4:D_5$ (as 20T43) Trivial (GRH)
20.20.2166421400000369059410353975835121.2 x20 - 36x18 + 486x16 - 3078x14 + 9513x12 - 14173x10 + 9513x8 - 3078x6 + 486x4 - 36x2 + 1 \( 67^{4}\cdot 401^{10} \) $C_2^4:D_5$ (as 20T43) Trivial (GRH)


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