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Label Polynomial Discriminant Galois group Class group
16.0.24759631762948096.2 x16 - 7x12 + 16x8 - 7x4 + 1 \( 2^{32}\cdot 7^{8} \) $D_4\times C_2$ (as 16T9) Trivial (GRH)
16.0.26843545600000000.2 x16 - 8x15 + 28x14 - 56x13 + 72x12 - 68x11 + 74x10 - 128x9 + 199x8 - 204x7 + 126x6 - 36x5 + 2x4 - 8x3 + 2x2 + 4x + 1 \( 2^{36}\cdot 5^{8} \) $D_4\times C_2$ (as 16T9) Trivial
16.0.36520347436056576.1 x16 - 8x15 + 34x14 - 92x13 + 162x12 - 152x11 - 62x10 + 444x9 - 665x8 + 396x7 + 194x6 - 564x5 + 488x4 - 232x3 + 68x2 - 12x + 1 \( 2^{36}\cdot 3^{12} \) $D_4\times C_2$ (as 16T9) Trivial
16.0.42998169600000000.1 x16 - 2x15 + 2x14 - 8x13 + 10x12 - 2x11 + 16x10 - 18x9 + 3x8 - 18x7 + 16x6 - 2x5 + 10x4 - 8x3 + 2x2 - 2x + 1 \( 2^{24}\cdot 3^{8}\cdot 5^{8} \) $D_4\times C_2$ (as 16T9) Trivial
16.0.115422332637413376.1 x16 - 4x14 + 8x12 + 36x10 + 62x8 + 36x6 + 8x4 - 4x2 + 1 \( 2^{44}\cdot 3^{8} \) $D_4\times C_2$ (as 16T9) Trivial
16.0.115422332637413376.2 x16 - 6x12 + 35x8 - 6x4 + 1 \( 2^{44}\cdot 3^{8} \) $D_4\times C_2$ (as 16T9) Trivial
16.0.200779471797682176.4 x16 + x14 + 4x12 - 5x10 + 7x8 - 5x6 + 4x4 + x2 + 1 \( 2^{16}\cdot 3^{12}\cdot 7^{8} \) $D_4\times C_2$ (as 16T9) Trivial
16.0.350749278894882816.1 x16 - 3x14 + 8x12 + 3x10 - 9x8 + 3x6 + 8x4 - 3x2 + 1 \( 2^{16}\cdot 3^{8}\cdot 13^{8} \) $D_4\times C_2$ (as 16T9) Trivial
16.0.549378366500390625.1 x16 - 3x15 - x13 + 24x12 - 20x11 - 4x10 - 73x9 + 105x8 + 49x7 - 111x6 + 10x5 + 59x4 - 22x3 + 5x2 - 4x + 1 \( 3^{8}\cdot 5^{8}\cdot 11^{8} \) $D_4\times C_2$ (as 16T9) Trivial
16.0.634562281237118976.3 x16 - 4x15 + 12x14 - 20x13 + 29x12 - 30x11 + 48x10 - 66x9 + 51x8 - 82x7 + 76x6 - 60x5 + 90x4 - 72x3 + 48x2 - 16x + 4 \( 2^{24}\cdot 3^{8}\cdot 7^{8} \) $D_4\times C_2$ (as 16T9) Trivial
16.0.634562281237118976.5 x16 - 4x14 + 15x12 - 16x10 + 21x8 + 38x6 + 32x4 + 24x2 + 16 \( 2^{24}\cdot 3^{8}\cdot 7^{8} \) $D_4\times C_2$ (as 16T9) Trivial
16.0.1196738909469140625.1 x16 + 3x14 - 20x12 + 9x10 + 63x8 + 9x6 - 20x4 + 3x2 + 1 \( 3^{12}\cdot 5^{8}\cdot 7^{8} \) $D_4\times C_2$ (as 16T9) Trivial
16.0.1846757322198614016.5 x16 - 4x14 + 8x12 - 24x10 + 47x8 - 24x6 + 8x4 - 4x2 + 1 \( 2^{48}\cdot 3^{8} \) $D_4\times C_2$ (as 16T9) Trivial
16.0.1846757322198614016.7 x16 - 4x12 + 15x8 - 4x4 + 1 \( 2^{48}\cdot 3^{8} \) $D_4\times C_2$ (as 16T9) Trivial
16.0.2090628617375390625.1 x16 - x15 + 5x14 + 14x13 + 6x12 + 35x11 + 42x10 + 20x9 + 31x8 - 20x7 + 42x6 - 35x5 + 6x4 - 14x3 + 5x2 + x + 1 \( 3^{8}\cdot 5^{8}\cdot 13^{8} \) $D_4\times C_2$ (as 16T9) $[2]$
16.0.2999448015365799936.1 x16 - 5x14 + 21x12 - 10x10 - 10x8 - 10x6 + 21x4 - 5x2 + 1 \( 2^{16}\cdot 3^{8}\cdot 17^{8} \) $D_4\times C_2$ (as 16T9) Trivial
16.0.3482851737600000000.2 x16 - 2x15 + 2x14 - 4x13 - 22x12 + 2x11 + 48x10 + 114x9 + 163x8 + 114x7 + 48x6 + 2x5 - 22x4 - 4x3 + 2x2 - 2x + 1 \( 2^{24}\cdot 3^{12}\cdot 5^{8} \) $D_4\times C_2$ (as 16T9) $[2]$
16.0.3482851737600000000.6 x16 - 6x15 + 19x14 - 42x13 + 72x12 - 78x11 + 25x10 + 42x9 - 44x8 + 30x7 - 63x6 + 18x5 + 75x4 + 54x2 + 36 \( 2^{24}\cdot 3^{12}\cdot 5^{8} \) $D_4\times C_2$ (as 16T9) Trivial
16.0.5487587353600000000.1 x16 - 9x14 + 39x12 - 111x10 + 214x8 - 189x6 + 69x4 - 6x2 + 1 \( 2^{16}\cdot 5^{8}\cdot 11^{8} \) $D_4\times C_2$ (as 16T9) Trivial
16.0.5951500145509072896.2 x16 - 2x15 + 2x14 - 12x13 + 13x12 + 8x11 + 30x10 - 26x9 - 12x8 - 26x7 + 30x6 + 8x5 + 13x4 - 12x3 + 2x2 - 2x + 1 \( 2^{16}\cdot 3^{8}\cdot 7^{12} \) $D_4\times C_2$ (as 16T9) Trivial
16.0.6871947673600000000.3 x16 + 18x12 + 43x8 + 18x4 + 1 \( 2^{44}\cdot 5^{8} \) $D_4\times C_2$ (as 16T9) Trivial
16.0.6871947673600000000.6 x16 + 42x12 + 83x8 + 42x4 + 1 \( 2^{44}\cdot 5^{8} \) $D_4\times C_2$ (as 16T9) Trivial
16.0.7465802011608416256.3 x16 - x14 + x12 + 8x10 - 20x8 + 32x6 + 16x4 - 64x2 + 256 \( 2^{16}\cdot 3^{12}\cdot 11^{8} \) $D_4\times C_2$ (as 16T9) Trivial
16.0.8503056000000000000.1 x16 - 6x15 + 18x14 - 36x13 + 37x12 - 18x10 + 42x9 - 60x8 + 42x7 - 18x6 + 37x4 - 36x3 + 18x2 - 6x + 1 \( 2^{16}\cdot 3^{12}\cdot 5^{12} \) $D_4\times C_2$ (as 16T9) $[2]$
16.0.9349208943630483456.9 x16 - 8x15 + 48x14 - 196x13 + 642x12 - 1668x11 + 3580x10 - 6328x9 + 9297x8 - 11276x7 + 11224x6 - 9024x5 + 5736x4 - 2780x3 + 972x2 - 220x + 25 \( 2^{44}\cdot 3^{12} \) $D_4\times C_2$ (as 16T9) Trivial
16.0.11007531417600000000.8 x16 - 3x12 + 8x8 - 3x4 + 1 \( 2^{32}\cdot 3^{8}\cdot 5^{8} \) $D_4\times C_2$ (as 16T9) Trivial (GRH)
16.0.16777216000000000000.3 x16 - 36x12 + 646x8 - 36x4 + 1 \( 2^{36}\cdot 5^{12} \) $D_4\times C_2$ (as 16T9) $[2]$
16.0.20882706457600000000.2 x16 - 4x14 + 28x12 - 106x10 + 288x8 - 492x6 + 657x4 - 552x2 + 196 \( 2^{16}\cdot 5^{8}\cdot 13^{8} \) $D_4\times C_2$ (as 16T9) $[2]$
16.0.23595621172490797056.2 x16 - 8x15 + 32x14 - 84x13 + 138x12 - 100x11 - 88x10 + 308x9 - 217x8 - 364x7 + 1128x6 - 1500x5 + 1270x4 - 732x3 + 288x2 - 72x + 9 \( 2^{24}\cdot 3^{8}\cdot 11^{8} \) $D_4\times C_2$ (as 16T9) Trivial
16.0.23595621172490797056.3 x16 - 2x15 - x14 + 18x13 - 27x12 - 4x11 + 62x10 - 88x9 + 62x8 - 112x7 + 294x6 - 444x5 + 277x4 + 42x3 - 33x2 - 18x + 9 \( 2^{24}\cdot 3^{8}\cdot 11^{8} \) $D_4\times C_2$ (as 16T9) Trivial
16.0.26873856000000000000.3 x16 - 6x15 + 17x14 - 30x13 + 35x12 - 24x11 + 36x10 - 240x9 + 824x8 - 1620x7 + 2244x6 - 2292x5 + 1595x4 - 630x3 + 143x2 - 18x + 1 \( 2^{24}\cdot 3^{8}\cdot 5^{12} \) $D_4\times C_2$ (as 16T9) $[2]$
16.0.26873856000000000000.6 x16 - 4x15 + 8x14 - 12x13 + 13x12 - 2x11 - 24x10 + 44x9 - 12x8 - 58x7 + 114x6 - 74x5 + 13x4 + 24x3 + 2x2 + 2x + 1 \( 2^{24}\cdot 3^{8}\cdot 5^{12} \) $D_4\times C_2$ (as 16T9) $[2]$
16.0.28410691590485508096.3 x16 - x14 - 11x12 - 10x10 + 142x8 - 10x6 - 11x4 - x2 + 1 \( 2^{16}\cdot 3^{12}\cdot 13^{8} \) $D_4\times C_2$ (as 16T9) $[2]$
16.0.29960650073923649536.2 x16 + 17x12 - 32x8 + 17x4 + 1 \( 2^{32}\cdot 17^{8} \) $D_4\times C_2$ (as 16T9) $[2]$
16.0.29960650073923649536.4 x16 - 4x14 - 4x13 + 8x12 + 56x11 - 2x10 - 124x9 + 333x8 + 472x7 - 510x6 - 136x5 + 498x4 - 400x3 + 172x2 - 40x + 4 \( 2^{32}\cdot 17^{8} \) $D_4\times C_2$ (as 16T9) $[2]$
16.0.29960650073923649536.7 x16 - 7x12 + 40x8 - 112x4 + 256 \( 2^{32}\cdot 17^{8} \) $D_4\times C_2$ (as 16T9) $[2]$
16.0.30853268336830129281.1 x16 - x15 - 4x14 - 19x13 + 33x12 + 47x11 + 108x10 - 175x9 - 197x8 - 350x7 + 432x6 + 376x5 + 528x4 - 608x3 - 256x2 - 128x + 256 \( 3^{8}\cdot 7^{8}\cdot 13^{8} \) $D_4\times C_2$ (as 16T9) Trivial (GRH)
16.0.33672290266555416576.1 x16 + 3x14 - 7x12 + 24x10 + 204x8 + 96x6 - 112x4 + 192x2 + 256 \( 2^{16}\cdot 3^{8}\cdot 23^{8} \) $D_4\times C_2$ (as 16T9) $[3]$
16.0.35473705205375390625.1 x16 + 3x14 - 4x12 + 33x10 + 159x8 + 33x6 - 4x4 + 3x2 + 1 \( 3^{8}\cdot 5^{8}\cdot 7^{12} \) $D_4\times C_2$ (as 16T9) Trivial
16.0.37780199833600000000.1 x16 + 12x14 + 23x12 - 96x10 + 21x8 + 270x6 + 64x4 - 72x2 + 16 \( 2^{24}\cdot 5^{8}\cdot 7^{8} \) $D_4\times C_2$ (as 16T9) $[2]$
16.0.37780199833600000000.2 x16 - 2x15 + 2x14 - 18x13 + 38x12 - 2x11 + 90x10 - 174x9 + 25x8 - 348x7 + 360x6 - 16x5 + 608x4 - 576x3 + 128x2 - 256x + 256 \( 2^{24}\cdot 5^{8}\cdot 7^{8} \) $D_4\times C_2$ (as 16T9) Trivial (GRH)
16.0.43527014496875390625.1 x16 - 4x15 + 10x14 - 16x13 + 2x12 + 86x11 - 194x10 + 268x9 + 85x8 - 480x7 + 862x6 - 582x5 + 271x4 + 68x3 - 17x2 + 1 \( 3^{8}\cdot 5^{8}\cdot 19^{8} \) $D_4\times C_2$ (as 16T9) $[2]$
16.0.51399544780206637056.9 x16 - 2x15 + 2x14 + 2x13 - x12 + 14x11 - 24x10 - 12x9 + 481x8 - 780x7 + 648x6 - 496x5 + 368x4 - 448x3 + 512x2 - 512x + 256 \( 2^{24}\cdot 3^{12}\cdot 7^{8} \) $D_4\times C_2$ (as 16T9) $[2]$ (GRH)
16.0.51399544780206637056.10 x16 - 2x14 + 16x12 + 40x10 + 112x8 + 160x6 + 256x4 - 128x2 + 256 \( 2^{24}\cdot 3^{12}\cdot 7^{8} \) $D_4\times C_2$ (as 16T9) $[2]$ (GRH)
16.0.51399544780206637056.11 x16 + 2x14 + 16x12 - 40x10 + 112x8 - 160x6 + 256x4 + 128x2 + 256 \( 2^{24}\cdot 3^{12}\cdot 7^{8} \) $D_4\times C_2$ (as 16T9) Trivial (GRH)
16.0.56056588304600006656.1 x16 - 8x15 + 20x14 - 56x12 - 28x11 + 318x10 - 380x9 - 21x8 + 340x7 - 174x6 - 136x5 + 226x4 - 144x3 + 50x2 - 8x + 1 \( 2^{36}\cdot 13^{8} \) $D_4\times C_2$ (as 16T9) $[3]$
16.0.59447875862838378496.3 x16 - 13x12 + 339x8 - 143x4 + 16 \( 2^{32}\cdot 7^{12} \) $D_4\times C_2$ (as 16T9) $[2]$
16.0.59447875862838378496.4 x16 + 15x12 + 73x8 - 24x4 + 16 \( 2^{32}\cdot 7^{12} \) $D_4\times C_2$ (as 16T9) $[2]$
16.0.80985213602868822016.1 x16 + 11x14 + 43x12 + 86x10 + 231x8 + 67x6 - 3x4 - 52x2 + 16 \( 2^{16}\cdot 7^{8}\cdot 11^{8} \) $D_4\times C_2$ (as 16T9) Trivial
16.0.89791815397090000896.1 x16 - 4x15 + 8x14 - 28x13 + 53x12 - 2x11 - 24x10 + 76x9 - 108x8 - 10x7 + 50x6 - 146x5 + 261x4 - 88x3 + 18x2 - 6x + 1 \( 2^{24}\cdot 3^{8}\cdot 13^{8} \) $D_4\times C_2$ (as 16T9) $[2]$
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