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Results (8 matches)

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Label Polynomial Discriminant Galois group Class group
20.0.116...641.1 x20 - 3x19 + 3x18 - 4x17 + 9x16 - 10x15 + x14 + 10x13 - 14x12 + 8x11 + 16x10 - 34x9 + 36x8 - 29x7 + 24x6 - 12x5 + 8x4 - 6x3 + 3x2 - x + 1 \( 3^{10}\cdot 7^{10}\cdot 17^{8} \) $C_2^2\times D_5$ (as 20T8) trivial
20.0.686...801.1 x20 - x19 - x18 + 6x17 - 5x16 - 5x15 + 17x14 - 9x13 - 10x12 + 24x11 - 13x10 - 9x9 + 30x8 - 26x7 + x6 + 25x5 - 16x4 - 4x3 + 11x2 - 4x + 1 \( 3^{10}\cdot 7^{8}\cdot 17^{10} \) $C_2^2\times D_5$ (as 20T8) trivial
20.4.336...249.1 x20 - 10x19 + 47x18 - 138x17 + 283x16 - 428x15 + 450x14 - 148x13 - 409x12 + 374x11 + 1036x10 - 2975x9 + 3655x8 - 2634x7 + 947x6 + 305x5 - 612x4 + 322x3 - 67x2 + x + 1 \( 3^{10}\cdot 7^{10}\cdot 17^{10} \) $C_2^2\times D_5$ (as 20T8) trivial (GRH)
20.4.113...625.1 x20 - x19 + 5x18 - 14x17 + 27x16 - 65x15 + 127x14 - 169x13 + 158x12 - 226x11 - 23x10 - 33x9 - 106x8 - 36x7 - 35x6 - 27x5 - 8x4 + 12x3 - x2 + 4x + 1 \( 5^{10}\cdot 7^{8}\cdot 17^{10} \) $C_2^2\times D_5$ (as 20T8) trivial (GRH)
20.0.613...625.1 x20 - 5x19 + 26x18 - 81x17 + 263x16 - 593x15 + 1335x14 - 1936x13 + 2256x12 + 1477x11 - 9342x10 + 26305x9 - 37870x8 + 37170x7 + 6725x6 - 83653x5 + 177709x4 - 231346x3 + 225474x2 - 137631x + 41491 \( 3^{10}\cdot 5^{10}\cdot 239^{8} \) $C_2^2\times D_5$ (as 20T8) $[5]$ (GRH)
20.0.413...024.1 x20 - 11x18 + 82x16 - 333x14 + 976x12 - 1499x10 + 1630x8 - 738x6 + 241x4 - 17x2 + 1 \( 2^{20}\cdot 3^{10}\cdot 401^{8} \) $C_2^2\times D_5$ (as 20T8) $[2, 10]$ (GRH)
20.20.377...625.1 x20 - 3x19 - 45x18 + 109x17 + 819x16 - 1499x15 - 7831x14 + 9770x13 + 42920x12 - 30367x11 - 138737x10 + 32874x9 + 258755x8 + 40097x7 - 251687x6 - 122728x5 + 89047x4 + 79483x3 + 12343x2 - 2541x - 389 \( 5^{10}\cdot 17^{10}\cdot 61^{8} \) $C_2^2\times D_5$ (as 20T8) trivial (GRH)
20.20.485...625.1 x20 - 53x18 + 1034x16 - 9069x14 + 35792x12 - 63688x10 + 50170x8 - 18280x6 + 3064x4 - 197x2 + 1 \( 5^{10}\cdot 17^{8}\cdot 61^{10} \) $C_2^2\times D_5$ (as 20T8) trivial (GRH)
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