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Results (displaying all 24 matches)

Label Polynomial Discriminant Galois group Class group
20.0.42143994095570692679025.1 x20 - 3x19 + 5x18 - 8x17 + 10x16 - 5x15 + 11x14 - 27x13 + 37x12 - 45x11 + 53x10 - 35x9 + 35x8 - 50x7 + 60x6 - 61x5 + 52x4 - 33x3 + 16x2 - 5x + 1 \( 3^{10}\cdot 5^{2}\cdot 7^{2}\cdot 17^{12} \) 20T196 Trivial
20.0.2501612841512001234534400.1 x20 - 10x18 + 37x16 - 56x14 + 6x12 + 76x10 - 58x8 - 40x6 + 49x4 + 14x2 + 1 \( 2^{32}\cdot 5^{2}\cdot 13^{12} \) 20T196 Trivial
20.4.943718400000000000000000000.1 x20 - 10x18 + 45x16 - 120x14 + 210x12 - 286x10 + 380x8 - 460x6 + 385x4 - 180x2 + 36 \( 2^{40}\cdot 3^{2}\cdot 5^{20} \) 20T196 Trivial (GRH)
20.0.1639456991813305129064464384.1 x20 + 2x18 + x16 + 32x14 + 154x12 + 328x10 + 398x8 + 248x6 - 7x4 - 58x2 + 49 \( 2^{46}\cdot 13^{12} \) 20T196 Trivial (GRH)
20.0.1829166410398033536416015625.1 x20 - 3x19 + 3x18 + 4x17 - 2x16 + 25x15 + 41x14 - 159x13 + 89x12 + 131x11 - 27x10 - 151x9 + 63x8 - 44x7 + 42x6 + 41x5 - 16x4 - 21x3 + 2x2 + 5x + 1 \( 3^{8}\cdot 5^{10}\cdot 7^{2}\cdot 17^{12} \) 20T196 Trivial (GRH)
20.4.2561651549708289264163225600.1 x20 - 8x18 + 37x16 - 116x14 + 238x12 - 276x10 + 82x8 + 132x6 - 55x4 - 92x2 + 49 \( 2^{42}\cdot 5^{2}\cdot 13^{12} \) 20T196 Trivial (GRH)
20.0.4636100671109107958959570944.1 x20 + 13x18 + 46x16 + 51x14 + 32x12 + 3x10 + 32x8 + 51x6 + 46x4 + 13x2 + 1 \( 2^{20}\cdot 3^{2}\cdot 53^{12} \) 20T196 Trivial
20.0.8241956748638414149261459456.1 x20 - 4x19 + 8x18 + 4x17 + 19x16 - 44x15 + 32x14 - 44x13 + 29x12 - 24x11 + 48x10 - 24x9 + 29x8 - 44x7 + 32x6 - 44x5 + 19x4 + 4x3 + 8x2 - 4x + 1 \( 2^{24}\cdot 53^{12} \) 20T196 Trivial (GRH)
20.0.148870343772281355571035111424.1 x20 + 7x18 + 25x16 + 65x14 + 135x12 + 277x10 + 540x8 + 1040x6 + 1600x4 + 1792x2 + 1024 \( 2^{20}\cdot 17^{2}\cdot 53^{12} \) 20T196 Trivial
20.0.185959149141154219242711678976.1 x20 + 17x18 + 106x16 + 299x14 + 404x12 + 371x10 + 404x8 + 299x6 + 106x4 + 17x2 + 1 \( 2^{20}\cdot 19^{2}\cdot 53^{12} \) 20T196 Trivial (GRH)
20.8.576852008414449049153805746176.1 x20 - 8x18 - 40x16 + 160x14 + 992x12 + 1634x10 + 992x8 + 160x6 - 40x4 - 8x2 + 1 \( 2^{32}\cdot 7^{8}\cdot 13^{12} \) 20T196 Trivial (GRH)
20.0.7793285228134410479011038756864.1 x20 + x18 - 36x16 - 93x14 + 571x12 - 84x10 + 2807x8 - 2749x6 + 976x4 + 6549x2 + 5625 \( 2^{20}\cdot 3^{2}\cdot 41^{2}\cdot 53^{12} \) 20T196 $[4]$ (GRH)
20.0.7920520435441515997440262537216.1 x20 - 2x18 + 7x16 - 2x14 + 5x12 + 28x10 + 20x8 - 32x6 + 448x4 - 512x2 + 1024 \( 2^{24}\cdot 31^{2}\cdot 53^{12} \) 20T196 $[12]$ (GRH)
20.12.28265748412308003408536481562624.1 x20 - 16x18 + 49x16 + 16x14 + 288x12 - 1520x10 + 608x8 - 2560x6 + 3904x4 - 1792x2 + 256 \( 2^{32}\cdot 7^{10}\cdot 13^{12} \) 20T196 Trivial (GRH)
20.8.28925465497600000000000000000000.1 x20 - 10x18 + 25x16 - 10x12 + 24x10 - 10x8 + 25x4 - 10x2 + 1 \( 2^{30}\cdot 5^{20}\cdot 7^{10} \) 20T196 Trivial (GRH)
20.12.65082297369600000000000000000000.1 x20 - 10x18 + 25x16 - 10x12 - 60x10 - 10x8 + 25x4 - 10x2 + 1 \( 2^{28}\cdot 3^{2}\cdot 5^{20}\cdot 7^{10} \) 20T196 Trivial (GRH)
20.16.147674114154098956583374271021056.1 x20 - 22x18 + 189x16 - 774x14 + 1346x12 + 186x10 - 3273x8 + 1956x6 + 1434x4 - 80x2 + 1 \( 2^{40}\cdot 7^{8}\cdot 13^{12} \) 20T196 Trivial (GRH)
20.16.1809007898387712218146334820007936.1 x20 - 20x18 - 138x16 + 1560x14 + 2375x12 - 36412x10 + 85818x8 - 82456x6 + 34985x4 - 5652x2 + 100 \( 2^{38}\cdot 7^{10}\cdot 13^{12} \) 20T196 Trivial (GRH)
20.4.7236031593550848872585339280031744.1 x20 - 24x18 + 340x16 - 2792x14 + 10156x12 - 19008x10 + 51808x8 + 8640x6 + 83792x4 - 193600x2 + 141376 \( 2^{40}\cdot 7^{10}\cdot 13^{12} \) 20T196 $[4]$ (GRH)
20.20.51131744381789867152791425283784704.1 x20 - 43x18 - 32x17 + 666x16 + 816x15 - 4732x14 - 7524x13 + 15963x12 + 31644x11 - 22753x10 - 63636x9 + 5235x8 + 60464x7 + 15374x6 - 23874x5 - 10970x4 + 2514x3 + 1713x2 - 36x - 72 \( 2^{20}\cdot 3^{10}\cdot 41^{2}\cdot 53^{12} \) 20T196 Trivial (GRH)
20.4.54014487747876710968599900690841600.1 x20 + 26x18 + 288x16 + 1676x14 + 5878x12 + 12288x10 + 16096x8 + 6404x6 - 4023x4 - 14602x2 + 5776 \( 2^{42}\cdot 5^{2}\cdot 53^{12} \) 20T196 $[2]$ (GRH)
20.20.68039926216729600000000000000000000.1 x20 - 40x18 + 660x16 - 5840x14 + 30180x12 - 92968x10 + 167040x8 - 164800x6 + 81120x4 - 16240x2 + 784 \( 2^{28}\cdot 5^{20}\cdot 7^{10}\cdot 97^{2} \) 20T196 Trivial (GRH)
20.0.129769806814273798102061261409746944.1 x20 + 4x18 + 28x16 + 16x14 + 80x12 - 896x10 + 1280x8 + 4096x6 + 114688x4 + 262144x2 + 1048576 \( 2^{38}\cdot 31^{2}\cdot 53^{12} \) 20T196 $[3, 60]$ (GRH)
20.0.253238078343833772687821440000000000.1 x20 + 40x18 + 649x16 + 5517x14 + 26612x12 + 74266x10 + 118412x8 + 104087x6 + 48373x4 + 11018x2 + 961 \( 2^{16}\cdot 5^{10}\cdot 13^{12}\cdot 19^{8} \) 20T196 $[2, 312]$ (GRH)


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