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Results (displaying all 8 matches)

Label Polynomial Discriminant Galois group Class group
20.0.33060197995068669948961.1 x20 - 2x19 + 4x18 - 6x17 + 10x16 - 15x15 + 21x14 - 27x13 + 37x12 - 34x11 + 47x10 - 34x9 + 37x8 - 27x7 + 21x6 - 15x5 + 10x4 - 6x3 + 4x2 - 2x + 1 \( 653^{8} \) $C_2\times A_5$ (as 20T36) Trivial
20.4.436011848767111570653184.1 x20 - 8x16 - 22x14 - 6x12 + 22x10 + 33x8 - 22x6 + 19x4 - 2x2 + 1 \( 2^{30}\cdot 67^{8} \) $C_2\times A_5$ (as 20T36) Trivial
20.0.865929930053558147743744.1 x20 + 2x18 - 2x17 + 4x16 - 4x15 - 14x13 + 9x12 - 2x11 + 6x10 - 2x9 + 7x8 - 12x7 + 26x6 - 28x5 + 19x4 - 20x3 + 24x2 - 16x + 4 \( 2^{30}\cdot 73^{8} \) $C_2\times A_5$ (as 20T36) Trivial
20.4.2502343454824177132896256.1 x20 + 6x18 + 11x16 - 2x14 - 43x12 - 102x10 - 146x8 - 134x6 - 84x4 - 32x2 + 1 \( 2^{32}\cdot 17^{12} \) $C_2\times A_5$ (as 20T36) Trivial
20.0.922507212791997403369454768641.1 x20 - 4x19 + 11x18 - 21x17 + 35x16 - 50x15 + 65x14 - 77x13 + 79x12 - 81x11 + 87x10 - 162x9 + 316x8 - 616x7 + 1040x6 - 1600x5 + 2240x4 - 2688x3 + 2816x2 - 2048x + 1024 \( 19^{8}\cdot 293^{8} \) $C_2\times A_5$ (as 20T36) Trivial (GRH)
20.0.22762830184956456665916278633281.1 x20 - 3x19 + 10x18 - 26x17 + 59x16 - 129x15 + 241x14 - 438x13 + 729x12 - 1124x11 + 1669x10 - 2248x9 + 2916x8 - 3504x7 + 3856x6 - 4128x5 + 3776x4 - 3328x3 + 2560x2 - 1536x + 1024 \( 8311^{8} \) $C_2\times A_5$ (as 20T36) $[4]$ (GRH)
20.20.333025103817911062616373171479401.1 x20 - 6x19 - 16x18 + 121x17 + 95x16 - 933x15 - 226x14 + 3630x13 - 25x12 - 7849x11 + 1238x10 + 9696x9 - 2643x8 - 6638x7 + 2522x6 + 2214x5 - 1128x4 - 209x3 + 182x2 - 26x + 1 \( 19^{10}\cdot 293^{8} \) $C_2\times A_5$ (as 20T36) Trivial (GRH)
20.20.1179317535357278224912902496300321.1 x20 - 29x18 + 296x16 - 1485x14 + 4169x12 - 6905x10 + 6821x8 - 3925x6 + 1212x4 - 157x2 + 1 \( 13613^{8} \) $C_2\times A_5$ (as 20T36) Trivial (GRH)


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