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Results (32 matches)

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Label Polynomial Discriminant Galois group Class group
16.0.3750900906670801.1 x16 - 4x15 + 10x14 - 18x13 + 29x12 - 43x11 + 58x10 - 73x9 + 85x8 - 88x7 + 81x6 - 65x5 + 45x4 - 26x3 + 12x2 - 4x + 1 \( 13^{2}\cdot 43^{2}\cdot 331^{4} \) 16T1664 trivial
16.0.5850424087444225.1 x16 - x15 - 2x14 + 6x13 + x12 - 16x11 + 16x10 + 5x9 - 19x8 + 5x7 + 16x6 - 16x5 + x4 + 6x3 - 2x2 - x + 1 \( 5^{2}\cdot 37^{2}\cdot 643^{4} \) 16T1664 trivial
16.0.6468474822995241.1 x16 - 4x15 + 9x14 - 14x13 + 16x12 - 9x11 - 8x10 + 27x9 - 35x8 + 27x7 - 8x6 - 9x5 + 16x4 - 14x3 + 9x2 - 4x + 1 \( 3^{2}\cdot 7^{2}\cdot 19^{4}\cdot 103^{4} \) 16T1664 trivial
16.0.15224515627376896.1 x16 - 3x15 + 4x14 - 7x12 + 10x11 - 3x10 - 7x9 + 12x8 - 7x7 - 3x6 + 10x5 - 7x4 + 4x2 - 3x + 1 \( 2^{8}\cdot 2777^{4} \) 16T1664 trivial
16.0.121485239855939584.4 x16 - 4x14 + 8x12 - 8x10 + 3x8 + 2x6 - x4 - x2 + 1 \( 2^{16}\cdot 17^{2}\cdot 283^{4} \) 16T1664 trivial
16.4.382030401053594241.1 x16 - x15 - 4x14 + 4x13 + 10x12 - 3x11 - 18x10 - 5x9 + 2x8 + x7 + 8x6 + 16x5 + 3x4 + 16x3 + 3x2 + 3x + 1 \( 3^{6}\cdot 13^{2}\cdot 1327^{4} \) 16T1664 trivial
16.4.503360547930148624.1 x16 + 6x14 + 6x12 - 3x10 + 22x8 + 42x6 - 7x4 - 21x2 + 1 \( 2^{4}\cdot 23^{2}\cdot 2777^{4} \) 16T1664 trivial
16.0.858064711060094976.1 x16 + x12 + 7x8 + x6 + 3x4 + 3x2 + 1 \( 2^{16}\cdot 3^{2}\cdot 23^{2}\cdot 229^{4} \) 16T1664 trivial
16.0.858064711060094976.2 x16 + 6x12 - x10 + 11x8 - x6 + 6x4 + 1 \( 2^{16}\cdot 3^{2}\cdot 23^{2}\cdot 229^{4} \) 16T1664 trivial
16.0.124...481.1 x16 - 5x15 + 12x14 - 17x13 + 20x12 - 33x11 + 62x10 - 81x9 + 77x8 - 70x7 + 93x6 - 112x5 + 92x4 - 61x3 + 46x2 - 30x + 9 \( 3^{2}\cdot 19^{4}\cdot 97^{2}\cdot 103^{4} \) 16T1664 trivial
16.4.132...401.1 x16 - x15 - 7x14 + 2x13 + 11x12 + x11 - 11x10 - 2x9 + 11x8 - 2x7 - 11x6 + x5 + 11x4 + 2x3 - 7x2 - x + 1 \( 7^{2}\cdot 19^{4}\cdot 43^{2}\cdot 103^{4} \) 16T1664 trivial
16.4.140...281.1 x16 - x15 - 2x14 + 5x13 - 7x12 - 5x11 + 21x10 + 9x9 - 23x8 + 19x7 + 7x6 - 72x5 + 28x4 + 59x3 - 32x2 - 15x + 9 \( 3^{2}\cdot 19^{4}\cdot 103^{6} \) 16T1664 trivial (GRH)
16.4.145...144.1 x16 - 3x14 + 5x12 - 8x10 + 9x8 - 8x6 + 5x4 - 3x2 + 1 \( 2^{16}\cdot 43^{2}\cdot 331^{4} \) 16T1664 trivial
16.4.145...144.2 x16 - 4x14 + 9x12 - 19x10 + 27x8 - 28x6 + 18x4 - 6x2 + 1 \( 2^{16}\cdot 43^{2}\cdot 331^{4} \) 16T1664 trivial
16.0.220...521.1 x16 - x14 + 8x12 - 2x10 + 20x8 + 7x6 + 30x4 + 15x2 + 49 \( 37^{2}\cdot 97^{2}\cdot 643^{4} \) 16T1664 trivial
16.8.457...225.1 x16 - 20x12 + 46x10 - 10x8 - 76x6 + 93x4 - 34x2 + 1 \( 3^{10}\cdot 5^{2}\cdot 1327^{4} \) 16T1664 trivial (GRH)
16.8.471...689.1 x16 - 4x15 + 2x14 + 18x13 - 45x12 + 10x11 + 102x10 - 112x9 - 64x8 + 156x7 - 16x6 - 89x5 + 31x4 + 24x3 - 11x2 - 3x + 1 \( 3^{8}\cdot 7^{2}\cdot 19^{4}\cdot 103^{4} \) 16T1664 trivial (GRH)
16.0.865...024.1 x16 + x10 - x8 + x6 + 1 \( 2^{16}\cdot 3^{2}\cdot 19^{4}\cdot 103^{4} \) 16T1664 trivial
16.8.119...609.1 x16 - 4x15 - x14 + 13x13 + 2x12 - 8x11 - 13x10 + x9 + 27x8 + x7 - 13x6 - 8x5 + 2x4 + 13x3 - x2 - 4x + 1 \( 3^{2}\cdot 7^{2}\cdot 19^{4}\cdot 43^{2}\cdot 103^{4} \) 16T1664 trivial (GRH)
16.8.269...904.1 x16 - 8x14 + 26x12 - 41x10 + 24x8 + 9x6 - 10x4 - x2 + 1 \( 2^{16}\cdot 11^{2}\cdot 23^{2}\cdot 283^{4} \) 16T1664 trivial (GRH)
16.8.281...704.1 x16 - 4x14 - 11x12 + 25x10 + 64x8 + 25x6 - 11x4 - 4x2 + 1 \( 2^{8}\cdot 43^{2}\cdot 2777^{4} \) 16T1664 trivial
16.0.358...616.1 x16 + 5x14 + 17x12 + 34x10 + 60x8 + 19x6 + 68x4 - 32x2 + 64 \( 2^{6}\cdot 97^{2}\cdot 2777^{4} \) 16T1664 trivial
16.8.341...456.1 x16 - 9x12 - x10 + 59x8 - 102x6 + 68x4 - 16x2 + 1 \( 2^{16}\cdot 17^{2}\cdot 53^{2}\cdot 283^{4} \) 16T1664 trivial (GRH)
16.12.700...944.1 x16 - 9x14 + 19x12 + 2x10 - 27x8 + 2x6 + 19x4 - 9x2 + 1 \( 2^{16}\cdot 3^{6}\cdot 19^{4}\cdot 103^{4} \) 16T1664 trivial (GRH)
16.12.905...649.1 x16 - 8x15 + 24x14 - 28x13 - 39x12 + 234x11 - 381x10 + 46x9 + 654x8 - 890x7 + 425x6 + 78x5 - 176x4 + 64x3 + 2x2 - 6x + 1 \( 3^{8}\cdot 19^{4}\cdot 97^{2}\cdot 103^{4} \) 16T1664 trivial (GRH)
16.0.312...664.1 x16 + 9x14 + 39x12 + 122x10 + 225x8 + 180x6 + 68x4 + 14x2 + 1 \( 2^{16}\cdot 3^{2}\cdot 19^{6}\cdot 103^{4} \) 16T1664 $[2]$
16.4.370...600.1 x16 - 7x14 + 19x12 - 12x10 - 29x8 + 3x6 + 3x4 + 18x2 + 9 \( 2^{16}\cdot 3^{6}\cdot 5^{2}\cdot 1327^{4} \) 16T1664 trivial (GRH)
16.4.370...600.2 x16 + 7x14 + 19x12 + 12x10 - 29x8 - 3x6 + 3x4 - 18x2 + 9 \( 2^{16}\cdot 3^{6}\cdot 5^{2}\cdot 1327^{4} \) 16T1664 trivial (GRH)
16.0.125...009.1 x16 - x15 + 4x14 + 7x13 + 33x12 + 53x11 + 209x10 + 406x9 + 877x8 + 1350x7 + 1742x6 + 1763x5 + 1473x4 + 840x3 + 317x2 + 66x + 9 \( 7^{2}\cdot 19^{4}\cdot 43^{2}\cdot 97^{2}\cdot 103^{4} \) 16T1664 $[2, 2]$
16.0.814...816.1 x16 - 5x14 + 26x12 - 36x10 + 180x8 - 127x6 + 256x4 - 264x2 + 81 \( 2^{16}\cdot 3^{2}\cdot 19^{4}\cdot 97^{2}\cdot 103^{4} \) 16T1664 $[2]$ (GRH)
16.16.917...616.1 x16 - 15x14 + 89x12 - 267x10 + 428x8 - 356x6 + 139x4 - 21x2 + 1 \( 2^{16}\cdot 3^{2}\cdot 19^{4}\cdot 103^{6} \) 16T1664 trivial (GRH)
16.16.115...584.1 x16 - 19x14 + 129x12 - 390x10 + 567x8 - 409x6 + 144x4 - 22x2 + 1 \( 2^{20}\cdot 43^{2}\cdot 2777^{4} \) 16T1664 trivial (GRH)
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