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Results (displaying all 16 matches)

Label Polynomial Discriminant Galois group Class group
18.2.131988642966456122961.1 x18 - 5x16 - 3x15 + 8x14 + 10x13 + 4x12 - 4x11 - 21x10 - 15x9 + 15x8 + 7x7 - 8x6 + 8x5 + 5x4 - 3x3 + x2 + 1 \( 3^{12}\cdot 23^{4}\cdot 31^{6} \) 18T718 Trivial
18.2.2976215158430986500625.1 x18 - 4x17 + 5x16 + 5x15 - 19x14 + 20x13 - 16x12 + 16x11 + 27x10 - 109x9 + 97x8 + 29x7 - 110x6 + 51x5 + 13x4 - x3 - 25x2 + 20x - 5 \( 5^{4}\cdot 23^{6}\cdot 43^{4}\cdot 97^{2} \) 18T718 Trivial (GRH)
18.6.45951708417342016000000.2 x18 - 9x17 + 40x16 - 116x15 + 245x14 - 399x13 + 514x12 - 523x11 + 406x10 - 215x9 + 22x8 + 129x7 - 250x6 + 325x5 - 287x4 + 162x3 - 38x2 - 7x + 1 \( 2^{12}\cdot 5^{6}\cdot 23^{4}\cdot 37^{6} \) 18T718 Trivial
18.6.82920283397994741760000.2 x18 - 6x16 + 13x14 - 37x12 + 55x10 - 79x8 + 73x6 - 50x4 + 20x2 - 1 \( 2^{18}\cdot 5^{4}\cdot 23^{6}\cdot 43^{4} \) 18T718 Trivial (GRH)
18.6.82920283397994741760000.3 x18 - 10x16 + 47x14 - 133x12 + 240x10 - 271x8 + 178x6 - 62x4 + 12x2 - 1 \( 2^{18}\cdot 5^{4}\cdot 23^{6}\cdot 43^{4} \) 18T718 Trivial (GRH)
18.6.1264828000984595187994624.1 x18 - 2x16 + 3x14 - 7x12 - 17x10 + 48x8 - 16x6 - 33x4 + 47x2 - 25 \( 2^{12}\cdot 19^{4}\cdot 31^{4}\cdot 37^{6} \) 18T718 Trivial (GRH)
18.6.12806253783510853046407744.1 x18 - 4x17 + 17x15 - 19x14 + x13 + 5x12 - 30x11 + 54x10 - 44x9 + 108x8 - 120x7 + 40x6 + 16x5 - 608x4 + 1088x3 - 1024x + 512 \( 2^{6}\cdot 193^{4}\cdot 229^{6} \) 18T718 Trivial (GRH)
18.10.82973716466491815734390625.1 x18 - 4x16 - 9x15 - 62x14 + 94x13 + 379x12 - 202x11 - 963x10 - 60x9 + 1366x8 + 681x7 - 1119x6 - 861x5 + 497x4 + 416x3 - 99x2 - 63x + 9 \( 3^{8}\cdot 5^{6}\cdot 53^{2}\cdot 257^{6} \) 18T718 Trivial (GRH)
18.10.188218197677432897536000000.1 x18 - 10x16 + 9x14 + 5x12 + 23x10 + 164x8 - 294x6 - 353x4 + 505x2 - 25 \( 2^{24}\cdot 5^{6}\cdot 23^{4}\cdot 37^{6} \) 18T718 Trivial (GRH)
18.6.204900060536173648742523904.1 x18 - x17 - 8x16 + 3x15 + 6x14 - 16x13 + x12 + 3x11 - 10x9 + 3x7 + x6 - 16x5 + 6x4 + 3x3 - 8x2 - x + 1 \( 2^{10}\cdot 193^{4}\cdot 229^{6} \) 18T718 Trivial (GRH)
18.10.4907315306659570986083540544.1 x18 + 6x16 - 81x14 + 27x12 + 843x10 - 846x8 - 1767x6 + 1716x4 + 144x2 - 16 \( 2^{6}\cdot 3^{22}\cdot 367^{6} \) 18T718 Trivial (GRH)
18.10.78517044906553135777336648704.1 x18 - 3x17 - 15x16 + 32x15 + 129x14 - 135x13 - 814x12 + 576x11 + 2832x10 - 1471x9 - 7008x8 + 4296x7 + 8507x6 - 5385x5 - 5184x4 + 2348x3 + 1581x2 - 102x - 89 \( 2^{10}\cdot 3^{22}\cdot 367^{6} \) 18T718 Trivial (GRH)
18.14.119255036795498941281410514064.2 x18 - 4x17 - 24x16 + 123x15 + 22x14 - 852x13 + 1009x12 + 1362x11 - 2364x10 - 1407x9 + 1592x8 + 2497x7 - 130x6 - 2254x5 - 220x4 + 575x3 + 14x2 - 40x + 2 \( 2^{4}\cdot 193^{6}\cdot 229^{6} \) 18T718 Trivial (GRH)
18.14.1256272718504850172437386379264.1 x18 - 9x16 - 75x14 + 654x12 + 228x10 - 8940x8 + 20454x6 - 17373x4 + 5424x2 - 256 \( 2^{14}\cdot 3^{22}\cdot 367^{6} \) 18T718 Trivial (GRH)
18.18.141836739504592267827144866922496.1 x18 - 42x16 + 676x14 - 5547x12 + 25443x10 - 66275x8 + 93787x6 - 62298x4 + 12272x2 - 676 \( 2^{22}\cdot 13^{2}\cdot 193^{4}\cdot 229^{6} \) 18T718 Trivial (GRH)
18.18.92900017306707701988449437761258496.1 x18 - 8x17 - 67x16 + 787x15 - 180x14 - 19376x13 + 44667x12 + 171958x11 - 648718x10 - 542096x9 + 3858092x8 - 162481x7 - 11101827x6 + 3344072x5 + 15732992x4 - 3694440x3 - 9446416x2 - 414480x + 1013648 \( 2^{10}\cdot 107^{2}\cdot 193^{4}\cdot 199^{2}\cdot 229^{6} \) 18T718 Trivial (GRH)


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