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Results (displaying all 25 matches)

Label Polynomial Discriminant Galois group Class group
20.0.3020631315406201552896.1 x20 + x18 - 4x17 + 2x16 - 4x15 + 7x14 - 6x13 + 8x12 - 6x11 + 7x10 - 6x9 + 4x8 - 2x7 - 2x5 - x4 + x2 + 1 \( 2^{20}\cdot 3^{10}\cdot 220873^{2} \) 20T656 Trivial (GRH)
20.0.45209713549795400390625.1 x20 - x19 + 2x18 - 5x17 + 7x16 - 10x15 + 15x14 - 17x13 + 22x12 - 25x11 + 25x10 - 19x9 + 22x8 - 11x7 + 11x6 - 8x5 + 5x4 - x3 + 4x2 + x + 1 \( 3^{10}\cdot 5^{10}\cdot 280001^{2} \) 20T656 Trivial (GRH)
20.0.49226653653406684545024.1 x20 + 2x18 + x16 - 4x14 - 8x12 - 5x10 + 6x8 + 14x6 + 12x4 + 5x2 + 1 \( 2^{20}\cdot 3^{10}\cdot 11^{4}\cdot 7369^{2} \) 20T656 Trivial (GRH)
20.0.49413326192613369140625.1 x20 - x19 + 2x18 - 5x17 + 5x16 - 8x15 + 11x14 - 10x13 + 9x12 - 15x11 + 6x10 - 6x9 + 8x8 + 4x7 + 3x6 + 9x5 + 5x4 + 4x3 + x2 + x + 1 \( 3^{10}\cdot 5^{10}\cdot 199^{2}\cdot 1471^{2} \) 20T656 Trivial (GRH)
20.0.685006451960421181640625.1 x20 - 3x19 + 4x18 - 7x17 + 15x16 - 24x15 + 34x14 - 47x13 + 67x12 - 78x11 + 72x10 - 81x9 + 81x8 - 54x7 + 45x6 - 37x5 + 20x4 - 11x3 + 6x2 - 3x + 1 \( 3^{10}\cdot 5^{10}\cdot 1039^{2}\cdot 1049^{2} \) 20T656 Trivial (GRH)
20.0.690508009185363369140625.1 x20 - 3x19 + 8x18 - 15x17 + 28x16 - 46x15 + 63x14 - 81x13 + 92x12 - 98x11 + 89x10 - 66x9 + 54x8 - 28x7 + x6 - 3x5 - 5x4 + 10x3 - x2 + 1 \( 3^{10}\cdot 5^{10}\cdot 61^{2}\cdot 17939^{2} \) 20T656 Trivial (GRH)
20.0.12141946772837571181640625.1 x20 + 2x18 - 8x17 + 8x16 - 14x15 + 26x14 - 43x13 + 62x12 - 52x11 + 99x10 - 104x9 + 89x8 - 91x7 + 67x6 - 84x5 + 22x4 - 14x3 + 29x2 + 5x + 1 \( 3^{10}\cdot 5^{10}\cdot 4588681^{2} \) 20T656 Trivial (GRH)
20.0.15586875812498470400390625.1 x20 - x19 + 2x18 - 7x17 + 9x16 - 17x15 + 11x14 - 27x13 + 32x12 - 3x11 + 23x10 + 11x9 + 32x8 + 34x7 + 6x6 + 5x5 + 17x4 + 6x3 + 5x2 - x + 1 \( 3^{10}\cdot 5^{10}\cdot 31^{2}\cdot 167711^{2} \) 20T656 Trivial (GRH)
20.0.34849756723633137889837056.1 x20 + 18x18 + 135x16 + 540x14 + 1231x12 + 1604x10 + 1167x8 + 462x6 + 106x4 + 16x2 + 1 \( 2^{20}\cdot 3^{10}\cdot 59^{2}\cdot 402107^{2} \) 20T656 Trivial (GRH)
20.0.436648932933622896181640625.1 x20 - 2x19 + 5x18 + 2x17 + 2x16 + 8x15 + 21x14 + 14x13 + 45x12 - 12x11 + 144x10 - 43x9 + 147x8 - 63x7 + 113x6 - 42x5 + 44x4 - 15x3 + 12x2 - 3x + 1 \( 3^{10}\cdot 5^{10}\cdot 27517559^{2} \) 20T656 Trivial (GRH)
20.0.463980985698590430556640625.1 x20 - x19 + 3x18 + 8x17 + 2x16 + 24x15 + 35x14 + 54x13 + 122x12 + 41x11 + 348x10 + 25x9 + 467x8 + 9x7 + 475x6 + 31x5 + 205x4 + 26x3 + 67x2 + 8x + 1 \( 3^{10}\cdot 5^{10}\cdot 3169^{2}\cdot 8951^{2} \) 20T656 $[3]$ (GRH)
20.4.822089456036085760000000000.1 x20 - 6x18 + 4x16 + 40x14 - 48x12 - 480x10 + 2112x8 - 4480x6 + 5376x4 - 3584x2 + 1024 \( 2^{30}\cdot 5^{10}\cdot 280001^{2} \) 20T656 Trivial (GRH)
20.4.898527578722140160000000000.1 x20 - 6x18 + 20x16 - 56x14 + 272x12 - 992x10 + 1856x8 - 1024x6 - 512x4 - 512x2 + 1024 \( 2^{30}\cdot 5^{10}\cdot 199^{2}\cdot 1471^{2} \) 20T656 Trivial (GRH)
20.8.12456097091902504960000000000.1 x20 + 2x18 - 12x16 - 32x14 - 320x10 + 1408x8 - 640x6 - 256x4 - 1536x2 + 1024 \( 2^{30}\cdot 5^{10}\cdot 1039^{2}\cdot 1049^{2} \) 20T656 Trivial (GRH)
20.8.12556136924745564160000000000.1 x20 - 14x18 + 76x16 - 240x14 + 656x12 - 1536x10 + 2560x8 - 3968x6 + 3328x4 + 1024x2 + 1024 \( 2^{30}\cdot 5^{10}\cdot 61^{2}\cdot 17939^{2} \) 20T656 Trivial (GRH)
20.0.37682138330093578240000000000.1 x20 + 13x18 + 68x16 + 176x14 + 198x12 - 39x10 - 267x8 - 62x6 + 217x4 + 140x2 + 16 \( 2^{20}\cdot 5^{10}\cdot 60662149^{2} \) 20T656 $[2]$ (GRH)
20.0.49008711322611047193837890625.1 x20 - 4x19 + 19x18 - 32x17 + 95x16 - 91x15 + 320x14 - 163x13 + 676x12 - 43x11 + 1048x10 + 129x9 + 927x8 + 299x7 + 576x6 + 152x5 + 130x4 + 34x3 + 21x2 + 4x + 1 \( 3^{10}\cdot 5^{10}\cdot 419^{2}\cdot 695771^{2} \) 20T656 $[15]$ (GRH)
20.0.55338861907337413914931640625.1 x20 - x19 + 11x18 - 6x17 + 74x16 - 35x15 + 289x14 - 114x13 + 804x12 - 320x11 + 1455x10 - 554x9 + 1882x8 - 802x7 + 1473x6 - 659x5 + 810x4 - 316x3 + 149x2 - 13x + 1 \( 3^{10}\cdot 5^{10}\cdot 11^{2}\cdot 28162171^{2} \) 20T656 $[2, 6]$ (GRH)
20.12.220788092512617103360000000000.1 x20 - 8x18 - 16x16 + 144x14 + 320x12 - 2112x10 + 2112x8 - 3712x6 + 16384x4 - 16896x2 + 1024 \( 2^{30}\cdot 5^{10}\cdot 4588681^{2} \) 20T656 Trivial (GRH)
20.12.283430379267618242560000000000.1 x20 - 6x18 + 4x16 - 112x14 + 992x12 - 1824x10 - 1536x8 + 4224x6 + 2560x4 - 4608x2 + 1024 \( 2^{30}\cdot 5^{10}\cdot 31^{2}\cdot 167711^{2} \) 20T656 Trivial (GRH)
20.16.7939985803244795330560000000000.1 x20 - 12x18 - 4x16 + 384x14 - 624x12 - 4416x10 + 18240x8 - 28160x6 + 21248x4 - 7680x2 + 1024 \( 2^{30}\cdot 5^{10}\cdot 27517559^{2} \) 20T656 Trivial (GRH)
20.16.8436989447498220175360000000000.1 x20 - 10x18 - 16x16 + 344x14 + 784x12 - 16896x10 + 68224x8 - 124288x6 + 106752x4 - 35840x2 + 1024 \( 2^{30}\cdot 5^{10}\cdot 3169^{2}\cdot 8951^{2} \) 20T656 Trivial (GRH)
20.20.891170097502579861749760000000000.1 x20 - 8x19 - 10x18 + 216x17 - 211x16 - 2148x15 + 4032x14 + 9190x13 - 25208x12 - 12028x11 + 68730x10 - 21794x9 - 72358x8 + 58352x7 + 9825x6 - 21616x5 + 3888x4 + 1414x3 - 259x2 - 38x - 1 \( 2^{30}\cdot 5^{10}\cdot 419^{2}\cdot 695771^{2} \) 20T656 Trivial (GRH)
20.20.1006276999144246198927360000000000.1 x20 - 2x19 - 39x18 + 72x17 + 594x16 - 1010x15 - 4486x14 + 6924x13 + 17696x12 - 23766x11 - 36003x10 + 37522x9 + 37694x8 - 24108x7 - 18366x6 + 5110x5 + 2784x4 - 616x3 - 119x2 + 30x - 1 \( 2^{30}\cdot 5^{10}\cdot 11^{2}\cdot 28162171^{2} \) 20T656 Trivial (GRH)
20.12.2650043292770687765039331210445682119140625.1 x20 - 253x18 + 28290x16 - 6x15 - 1840209x14 - 679x13 + 77072033x12 + 129241x11 - 2170492588x10 - 5916096x9 + 41603791746x8 + 94277553x7 - 535688310011x6 + 140062232x5 + 4431198685244x4 - 16737690057x3 - 21240654931404x2 + 108814306471x + 44742407803561 \( 5^{10}\cdot 97^{10}\cdot 60662149^{2} \) 20T656 Trivial (GRH)


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