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Label Polynomial Discriminant Galois group Class group
16.0.68719476736000000.1 x16 - 8x15 + 32x14 - 80x13 + 134x12 - 148x11 + 92x10 - 52x8 + 32x7 + 16x6 - 32x5 + 12x4 + 8x3 - 8x2 + 2 \( 2^{42}\cdot 5^{6} \) $C_8:C_2^2$ (as 16T45) trivial
16.0.219809187453515625.1 x16 - 3x15 + 8x14 - 12x13 + 16x12 - 15x11 + 8x10 + 6x9 - 20x8 + 21x7 - 16x6 + 9x5 + 4x4 - 15x3 + 14x2 - 6x + 1 \( 3^{14}\cdot 5^{8}\cdot 7^{6} \) $C_8:C_2^2$ (as 16T45) trivial
16.0.396154108207169536.3 x16 - 2x14 + 2x12 - 2x10 + 21x8 - 36x6 + 32x4 - 16x2 + 4 \( 2^{36}\cdot 7^{8} \) $C_8:C_2^2$ (as 16T45) trivial
16.0.489776025600000000.1 x16 - 3x15 + 2x14 + 6x13 - 8x12 + 3x11 + 5x10 - 6x9 + 4x8 + 6x7 + 5x6 - 3x5 - 8x4 - 6x3 + 2x2 + 3x + 1 \( 2^{18}\cdot 3^{14}\cdot 5^{8} \) $C_8:C_2^2$ (as 16T45) trivial
16.0.840675741330898944.1 x16 - 2x15 - 3x14 + 18x13 - 22x12 - 30x11 + 113x10 - 74x9 - 126x8 + 230x7 - 67x6 - 138x5 + 161x4 - 84x3 + 36x2 - 16x + 4 \( 2^{16}\cdot 3^{12}\cdot 17^{6} \) $C_8:C_2^2$ (as 16T45) trivial
16.4.130...000.1 x16 - 3x15 + 2x14 + 8x13 - 20x12 + 17x11 + x10 - 22x9 + 28x8 - 22x7 + x6 + 17x5 - 20x4 + 8x3 + 2x2 - 3x + 1 \( 2^{12}\cdot 5^{8}\cdot 13^{8} \) $C_8:C_2^2$ (as 16T45) trivial
16.0.165...784.1 x16 - 6x14 - 20x13 - 18x12 + 36x11 + 166x10 + 352x9 + 518x8 + 576x7 + 502x6 + 348x5 + 198x4 + 92x3 + 34x2 + 8x + 1 \( 2^{36}\cdot 17^{6} \) $C_8:C_2^2$ (as 16T45) trivial
16.0.331...344.2 x16 - 8x15 + 38x14 - 124x13 + 304x12 - 588x11 + 944x10 - 1312x9 + 1591x8 - 1604x7 + 1208x6 - 552x5 + 52x4 + 64x3 + 14x2 - 40x + 13 \( 2^{32}\cdot 3^{8}\cdot 7^{6} \) $C_8:C_2^2$ (as 16T45) trivial
16.0.944...296.1 x16 - 4x15 + 2x14 - 6x13 + 86x12 - 218x11 + 226x10 - 288x9 + 724x8 - 930x7 + 340x6 + 248x5 - 223x4 + 30x3 + 20x2 - 8x + 1 \( 2^{24}\cdot 3^{14}\cdot 7^{6} \) $C_8:C_2^2$ (as 16T45) $[2]$
16.0.104...000.1 x16 - 5x15 + 6x14 + 20x13 - 78x12 + 105x11 - 17x10 - 205x9 + 510x8 - 785x7 + 877x6 - 720x5 + 432x4 - 185x3 + 54x2 - 10x + 1 \( 2^{18}\cdot 3^{8}\cdot 5^{14} \) $C_8:C_2^2$ (as 16T45) $[2]$
16.4.111...000.1 x16 - 3x12 - 27x8 + 12x4 + 16 \( 2^{12}\cdot 5^{8}\cdot 17^{8} \) $C_8:C_2^2$ (as 16T45) trivial
16.0.157...616.1 x16 - 12x13 + 34x12 - 72x11 + 138x10 - 216x9 + 294x8 - 348x7 + 354x6 - 300x5 + 229x4 - 132x3 + 66x2 - 24x + 4 \( 2^{24}\cdot 3^{12}\cdot 11^{6} \) $C_8:C_2^2$ (as 16T45) trivial
16.0.182...744.1 x16 - 3x15 + 3x14 - 7x13 + 14x12 - 7x11 + 35x10 - 52x9 - 12x8 - 9x7 + 119x6 + 301x5 + 364x4 + 315x3 + 171x2 + 54x + 9 \( 2^{12}\cdot 3^{8}\cdot 7^{14} \) $C_8:C_2^2$ (as 16T45) trivial
16.4.210...776.1 x16 - 8x15 + 32x14 - 84x13 + 158x12 - 220x11 + 220x10 - 120x9 - 56x8 + 240x7 - 320x6 + 256x5 - 136x4 + 48x3 - 16x2 + 8x - 2 \( 2^{42}\cdot 3^{14} \) $C_8:C_2^2$ (as 16T45) trivial
16.0.212...136.1 x16 - 4x15 + 8x14 - 8x13 + 6x12 - 28x10 + 76x9 - 24x8 - 268x7 + 752x6 - 1128x5 + 1114x4 - 752x3 + 332x2 - 84x + 9 \( 2^{42}\cdot 13^{6} \) $C_8:C_2^2$ (as 16T45) trivial
16.0.530...504.3 x16 - 4x14 + 8x12 + 60x10 - 34x8 - 60x6 + 152x4 - 28x2 + 49 \( 2^{36}\cdot 3^{8}\cdot 7^{6} \) $C_8:C_2^2$ (as 16T45) trivial
16.4.746...000.1 x16 - 6x15 + 21x14 - 54x13 + 113x12 - 196x11 + 274x10 - 312x9 + 298x8 - 256x7 + 186x6 - 92x5 - 7x4 + 38x3 - 11x2 - 2x + 1 \( 2^{24}\cdot 3^{6}\cdot 5^{14} \) $C_8:C_2^2$ (as 16T45) trivial (GRH)
16.0.841...104.4 x16 - 18x12 + 111x8 - 54x4 + 9 \( 2^{44}\cdot 3^{14} \) $C_8:C_2^2$ (as 16T45) trivial
16.4.109...000.4 x16 - 8x14 + 12x12 + 12x10 - 57x8 + 76x6 - 42x4 + 4x2 + 1 \( 2^{48}\cdot 5^{8} \) $C_8:C_2^2$ (as 16T45) trivial (GRH)
16.0.119...000.1 x16 - x15 + 9x14 - 11x13 + 41x12 - 48x11 + 121x10 - 103x9 + 222x8 - 112x7 + 241x6 - 12x5 + 161x4 + 136x3 + 54x2 + 11x + 1 \( 2^{12}\cdot 3^{14}\cdot 5^{14} \) $C_8:C_2^2$ (as 16T45) $[4]$
16.0.141...625.1 x16 - 5x15 + 5x14 + 27x13 - 94x12 + 110x11 + 40x10 - 378x9 + 805x8 - 1131x7 + 1165x6 - 887x5 + 497x4 - 201x3 + 56x2 - 10x + 1 \( 3^{12}\cdot 5^{6}\cdot 19^{8} \) $C_8:C_2^2$ (as 16T45) $[2]$
16.0.142...544.1 x16 - 6x15 + 8x14 + 30x13 - 110x12 + 48x11 + 374x10 - 726x9 - 89x8 + 1968x7 - 2494x6 - 78x5 + 3634x4 - 4722x3 + 3086x2 - 1092x + 169 \( 2^{24}\cdot 3^{14}\cdot 11^{6} \) $C_8:C_2^2$ (as 16T45) $[2]$
16.0.170...416.1 x16 - x15 + 2x14 + 4x13 - 25x12 + 4x11 - 6x10 - 84x9 + 64x8 + 150x7 + 276x6 + 556x5 + 605x4 + 337x3 + 98x2 + 14x + 1 \( 2^{12}\cdot 3^{12}\cdot 23^{8} \) $C_8:C_2^2$ (as 16T45) $[3]$
16.0.210...376.4 x16 - 8x14 + 44x12 - 144x10 + 328x8 - 464x6 + 440x4 - 192x2 + 36 \( 2^{58}\cdot 3^{6} \) $C_8:C_2^2$ (as 16T45) trivial
16.0.405...864.3 x16 - 8x12 + 13x8 + 12x4 + 4 \( 2^{46}\cdot 7^{8} \) $C_8:C_2^2$ (as 16T45) trivial (GRH)
16.4.891...000.1 x16 - 8x15 + 32x14 - 60x13 + 284x11 - 758x10 + 1276x9 - 1709x8 + 1428x7 - 246x6 - 452x5 + 30x4 + 420x3 - 326x2 + 100x - 11 \( 2^{32}\cdot 3^{12}\cdot 5^{8} \) $C_8:C_2^2$ (as 16T45) trivial (GRH)
16.0.971...264.1 x16 - 5x15 + 14x14 - 36x13 + 122x12 - 367x11 + 751x10 - 981x9 + 742x8 - 177x7 - 203x6 + 184x5 - 16x4 - 57x3 + 38x2 - 10x + 1 \( 2^{18}\cdot 3^{12}\cdot 17^{8} \) $C_8:C_2^2$ (as 16T45) trivial
16.0.107...000.2 x16 - 4x15 - 4x14 + 28x13 + 18x12 - 48x11 - 64x10 - 64x9 - 36x8 + 52x7 + 212x6 + 348x5 + 394x4 + 264x3 + 96x2 + 16x + 1 \( 2^{42}\cdot 5^{12} \) $C_8:C_2^2$ (as 16T45) $[4]$
16.4.189...384.8 x16 - 4x12 - 30x8 + 68x4 + 1 \( 2^{58}\cdot 3^{8} \) $C_8:C_2^2$ (as 16T45) trivial (GRH)
16.4.191...000.2 x16 - 6x15 + 11x14 + 6x13 - 47x12 + 24x11 + 74x10 + 48x9 - 362x8 + 264x7 + 386x6 - 792x5 + 73x4 + 438x3 - 181x2 + 18x + 1 \( 2^{16}\cdot 3^{14}\cdot 5^{14} \) $C_8:C_2^2$ (as 16T45) $[2]$ (GRH)
16.4.291...304.2 x16 - 4x15 + 2x14 + 14x12 + 56x11 - 238x10 + 136x9 + 345x8 - 540x7 + 224x6 + 112x5 - 196x4 + 112x3 + 16x2 - 64x + 32 \( 2^{32}\cdot 7^{14} \) $C_8:C_2^2$ (as 16T45) trivial (GRH)
16.0.233...625.1 x16 - 7x15 + 16x14 - 11x13 + 59x12 - 349x11 + 586x10 + 206x9 - 1354x8 + 280x7 + 1715x6 - 713x5 - 377x4 - 596x3 + 153x2 + 209x + 361 \( 3^{6}\cdot 5^{8}\cdot 7^{6}\cdot 17^{8} \) $C_8:C_2^2$ (as 16T45) $[2]$ (GRH)
16.16.233...625.1 x16 - 5x15 - 12x14 + 99x13 - 37x12 - 615x11 + 832x10 + 1329x9 - 3072x8 - 200x7 + 3703x6 - 1523x5 - 1128x4 + 463x3 + 174x2 - 7x - 1 \( 3^{6}\cdot 5^{8}\cdot 7^{6}\cdot 17^{8} \) $C_8:C_2^2$ (as 16T45) trivial (GRH)
16.0.582...224.1 x16 + 20x14 - 24x13 + 154x12 - 288x11 + 776x10 - 1224x9 + 2179x8 - 2784x7 + 2984x6 - 1944x5 + 1042x4 - 1152x3 + 1796x2 - 1536x + 529 \( 2^{36}\cdot 3^{14}\cdot 11^{6} \) $C_8:C_2^2$ (as 16T45) $[2, 2, 2]$ (GRH)
16.16.582...224.1 x16 - 28x14 - 24x13 + 274x12 + 432x11 - 952x10 - 2304x9 + 319x8 + 3552x7 + 1424x6 - 1584x5 - 794x4 + 288x3 + 92x2 - 24x + 1 \( 2^{36}\cdot 3^{14}\cdot 11^{6} \) $C_8:C_2^2$ (as 16T45) trivial (GRH)
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