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Results (displaying all 8 matches)

Label Polynomial Discriminant Galois group Class group
20.0.1900014966167022705078125.1 x20 - x19 + x18 - x17 - 9x15 + 4x14 + 11x13 + 5x12 - 6x11 - 24x10 + 9x9 + 35x8 + 11x7 - x6 + 6x5 + 5x4 + 4x3 + 6x2 + 4x + 1 \( 5^{15}\cdot 53^{8} \) $C_4\times A_5$ (as 20T63) Trivial
20.0.19706833839287139892578125.1 x20 - 5x19 + 12x18 - 17x17 + 14x16 - 14x15 + 32x14 - 58x13 + 79x12 - 84x11 + 111x10 - 138x9 + 133x8 - 107x7 + 91x6 - 74x5 + 49x4 - 23x3 + 13x2 - 5x + 1 \( 5^{15}\cdot 71^{8} \) $C_4\times A_5$ (as 20T63) Trivial
20.4.13878788557563639341338591232.1 x20 - 3x19 - 8x18 + 19x17 + 5x16 - 24x15 + 146x14 - 196x13 - 435x12 + 1405x11 - 1088x10 - 1857x9 + 5743x8 - 7370x7 + 6050x6 - 3954x5 + 2298x4 - 1080x3 + 340x2 - 60x + 4 \( 2^{24}\cdot 17^{17} \) $C_4\times A_5$ (as 20T63) Trivial
20.4.16085001529300257144760696832.1 x20 + 4x18 + 2x16 + 34x12 - 96x10 - 68x8 + x4 - 4x2 + 2 \( 2^{61}\cdot 17^{8} \) $C_4\times A_5$ (as 20T63) Trivial
20.0.59492328979976475238800048828125.1 x20 + 30x18 + 375x16 + 2550x14 + 10325x12 + 25525x10 + 37710x8 + 30650x6 + 10900x4 + 500x2 + 5 \( 5^{27}\cdot 41^{8} \) $C_4\times A_5$ (as 20T63) $[10]$ (GRH)
20.0.1059431841229213450878936767578125.1 x20 + 9x18 - 20x17 + 75x16 - 180x15 + 861x14 - 2865x13 + 7959x12 - 15010x11 + 22236x10 - 24435x9 + 23095x8 - 18390x7 + 16869x6 - 13500x5 + 12456x4 - 9315x3 + 7560x2 - 4050x + 2025 \( 3^{16}\cdot 5^{15}\cdot 73^{8} \) $C_4\times A_5$ (as 20T63) $[2, 68]$ (GRH)
20.20.9534886571062921057910430908203125.1 x20 - 9x19 - 3x18 + 218x17 - 368x16 - 1578x15 + 4054x14 + 4129x13 - 16775x12 - 780x11 + 32154x10 - 13239x9 - 28776x8 + 21255x7 + 9267x6 - 12177x5 + 1314x4 + 2106x3 - 936x2 + 153x - 9 \( 3^{18}\cdot 5^{15}\cdot 73^{8} \) $C_4\times A_5$ (as 20T63) Trivial (GRH)
20.20.9676847870747939759856242687914016768.1 x20 - 36x18 + 454x16 - 2744x14 + 8921x12 - 16548x10 + 17842x8 - 10976x6 + 3632x4 - 576x2 + 32 \( 2^{59}\cdot 11^{8}\cdot 23^{8} \) $C_4\times A_5$ (as 20T63) Trivial (GRH)


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