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Label Polynomial Discriminant Galois group Class group
16.0.67658452310163456.1 x16 + 2x14 - 8x13 + 3x12 - 16x11 + 34x10 - 32x9 + 48x8 - 64x7 + 68x6 - 52x5 + 31x4 - 16x3 + 8x2 - 4x + 1 \( 2^{32}\cdot 3^{8}\cdot 7^{4} \) $C_2^2 \times D_4$ (as 16T25) trivial
16.0.281792804290560000.1 x16 + 2x14 - 4x12 - 12x11 + 36x10 - 52x9 + 83x8 - 88x7 + 60x6 - 56x5 + 44x4 - 16x3 + 6x2 - 4x + 1 \( 2^{36}\cdot 3^{8}\cdot 5^{4} \) $C_2^2 \times D_4$ (as 16T25) trivial
16.0.412572844761808896.1 x16 - 2x14 - x12 - 18x10 + 29x8 + 36x6 - 4x4 + 16x2 + 16 \( 2^{32}\cdot 3^{8}\cdot 11^{4} \) $C_2^2 \times D_4$ (as 16T25) trivial
16.0.634562281237118976.2 x16 - x14 - 3x12 - 2x10 + 14x8 - 2x6 - 3x4 - x2 + 1 \( 2^{24}\cdot 3^{8}\cdot 7^{8} \) $C_2^2 \times D_4$ (as 16T25) trivial
16.0.108...296.2 x16 - 4x15 + 40x13 - 96x12 + 48x11 + 226x10 - 692x9 + 1143x8 - 1312x7 + 1078x6 - 624x5 + 258x4 - 88x3 + 30x2 - 8x + 1 \( 2^{36}\cdot 3^{8}\cdot 7^{4} \) $C_2^2 \times D_4$ (as 16T25) trivial
16.0.142...000.1 x16 - 4x15 + 8x14 - 20x13 + 35x12 + 16x11 - 144x10 + 132x9 + 136x8 - 288x7 + 54x6 + 172x5 - 97x4 - 20x3 + 26x2 - 4x + 1 \( 2^{32}\cdot 3^{12}\cdot 5^{4} \) $C_2^2 \times D_4$ (as 16T25) trivial
16.0.235...176.2 x16 - 4x15 + 2x14 + 41x12 - 92x11 + 66x10 - 104x9 + 291x8 - 388x7 + 366x6 - 344x5 + 286x4 - 184x3 + 84x2 - 24x + 4 \( 2^{32}\cdot 3^{8}\cdot 17^{4} \) $C_2^2 \times D_4$ (as 16T25) trivial
16.0.348...000.5 x16 - 5x14 + 13x12 - 50x10 + 118x8 - 50x6 + 13x4 - 5x2 + 1 \( 2^{24}\cdot 3^{12}\cdot 5^{8} \) $C_2^2 \times D_4$ (as 16T25) $[2]$
16.0.101...616.4 x16 + 2x14 - 6x12 + 16x10 + 95x8 + 16x6 - 6x4 + 2x2 + 1 \( 2^{28}\cdot 3^{8}\cdot 7^{8} \) $C_2^2 \times D_4$ (as 16T25) trivial
16.0.110...000.6 x16 - 4x14 + 9x12 - 16x10 + 24x8 - 34x6 + 29x4 - 6x2 + 1 \( 2^{32}\cdot 3^{8}\cdot 5^{8} \) $C_2^2 \times D_4$ (as 16T25) trivial (GRH)
16.0.110...000.9 x16 + 4x14 + 9x12 + 16x10 + 24x8 + 34x6 + 29x4 + 6x2 + 1 \( 2^{32}\cdot 3^{8}\cdot 5^{8} \) $C_2^2 \times D_4$ (as 16T25) $[2]$ (GRH)
16.0.128...656.1 x16 - 4x14 + 26x12 + 12x10 + 35x8 + 180x6 + 686x4 + 632x2 + 169 \( 2^{36}\cdot 3^{8}\cdot 13^{4} \) $C_2^2 \times D_4$ (as 16T25) trivial
16.0.320...416.2 x16 - 4x14 + 18x12 + 4x10 - 11x8 - 8x6 + 60x4 + 8x2 + 4 \( 2^{36}\cdot 3^{4}\cdot 7^{8} \) $C_2^2 \times D_4$ (as 16T25) $[2]$
16.0.334...576.1 x16 - 8x14 + 49x12 - 104x10 + 160x8 - 104x6 + 49x4 - 8x2 + 1 \( 2^{32}\cdot 3^{12}\cdot 11^{4} \) $C_2^2 \times D_4$ (as 16T25) $[2]$
16.0.557...000.1 x16 - 6x15 + 21x14 - 54x13 + 115x12 - 252x11 + 570x10 - 1164x9 + 1938x8 - 2496x7 + 2508x6 - 2016x5 + 1324x4 - 720x3 + 312x2 - 96x + 16 \( 2^{28}\cdot 3^{12}\cdot 5^{8} \) $C_2^2 \times D_4$ (as 16T25) $[2]$
16.8.162...856.1 x16 - 10x14 + 19x12 + 10x10 - 51x8 + 20x6 + 76x4 - 80x2 + 16 \( 2^{32}\cdot 3^{8}\cdot 7^{8} \) $C_2^2 \times D_4$ (as 16T25) trivial (GRH)
16.0.162...856.11 x16 + 27x12 + 227x8 - 39x4 + 16 \( 2^{32}\cdot 3^{8}\cdot 7^{8} \) $C_2^2 \times D_4$ (as 16T25) $[4]$ (GRH)
16.0.162...856.12 x16 - 4x13 + 7x12 - 48x11 + 8x10 + 120x9 - 267x8 + 244x7 + 616x6 - 1680x5 + 2108x4 - 512x3 + 32x2 + 32x + 16 \( 2^{32}\cdot 3^{8}\cdot 7^{8} \) $C_2^2 \times D_4$ (as 16T25) $[4]$
16.0.162...856.13 x16 - 8x15 + 32x14 - 84x13 + 176x12 - 328x11 + 498x10 - 532x9 + 366x8 - 164x7 + 72x6 - 52x5 + 85x4 - 116x3 + 90x2 - 36x + 22 \( 2^{32}\cdot 3^{8}\cdot 7^{8} \) $C_2^2 \times D_4$ (as 16T25) $[4]$ (GRH)
16.0.162...856.14 x16 - 8x14 + 41x12 - 144x10 + 320x8 - 438x6 + 365x4 - 182x2 + 49 \( 2^{32}\cdot 3^{8}\cdot 7^{8} \) $C_2^2 \times D_4$ (as 16T25) $[2]$ (GRH)
16.0.162...856.15 x16 - 4x15 + 10x14 - 24x13 + 50x12 - 108x11 + 136x10 - 120x9 + 95x8 - 28x7 + 184x6 + 72x5 + 226x4 + 56x3 + 126x2 + 49 \( 2^{32}\cdot 3^{8}\cdot 7^{8} \) $C_2^2 \times D_4$ (as 16T25) $[4]$
16.0.162...856.16 x16 + 8x14 + 41x12 + 144x10 + 320x8 + 438x6 + 365x4 + 182x2 + 49 \( 2^{32}\cdot 3^{8}\cdot 7^{8} \) $C_2^2 \times D_4$ (as 16T25) trivial (GRH)
16.8.176...000.2 x16 - 8x14 - 8x12 + 32x10 + 408x8 - 1184x6 + 928x4 - 256x2 + 16 \( 2^{36}\cdot 3^{8}\cdot 5^{8} \) $C_2^2 \times D_4$ (as 16T25) trivial (GRH)
16.0.176...000.4 x16 - 8x15 + 36x14 - 112x13 + 284x12 - 612x11 + 1090x10 - 1556x9 + 1775x8 - 1636x7 + 1254x6 - 824x5 + 484x4 - 252x3 + 116x2 - 40x + 10 \( 2^{36}\cdot 3^{8}\cdot 5^{8} \) $C_2^2 \times D_4$ (as 16T25) $[4]$
16.0.176...000.5 x16 + 8x14 - 8x12 - 32x10 + 408x8 + 1184x6 + 928x4 + 256x2 + 16 \( 2^{36}\cdot 3^{8}\cdot 5^{8} \) $C_2^2 \times D_4$ (as 16T25) $[4]$ (GRH)
16.0.176...000.7 x16 - 8x15 + 44x14 - 168x13 + 532x12 - 1372x11 + 2998x10 - 5464x9 + 8367x8 - 10628x7 + 11082x6 - 9292x5 + 6080x4 - 2972x3 + 992x2 - 192x + 34 \( 2^{36}\cdot 3^{8}\cdot 5^{8} \) $C_2^2 \times D_4$ (as 16T25) $[4]$
16.0.176...000.10 x16 + 2x14 - 24x13 + 8x12 - 36x11 + 228x10 - 136x9 + 227x8 - 976x7 + 708x6 - 572x5 + 1736x4 - 1240x3 + 450x2 - 1000x + 625 \( 2^{36}\cdot 3^{8}\cdot 5^{8} \) $C_2^2 \times D_4$ (as 16T25) $[4]$
16.0.199...000.2 x16 - 4x15 - x14 + 4x13 + 5x12 + 88x11 + 246x10 + 432x9 + 574x8 + 432x7 + 246x6 + 88x5 + 5x4 + 4x3 - x2 - 4x + 1 \( 2^{16}\cdot 3^{12}\cdot 5^{8}\cdot 11^{4} \) $C_2^2 \times D_4$ (as 16T25) $[2]$
16.0.277...776.2 x16 - 4x15 + 4x14 - 24x13 + 104x12 - 196x11 + 312x10 - 236x9 + 31x8 + 236x7 + 312x6 + 196x5 + 104x4 + 24x3 + 4x2 + 4x + 1 \( 2^{44}\cdot 3^{8}\cdot 7^{4} \) $C_2^2 \times D_4$ (as 16T25) $[2]$
16.0.393...000.2 x16 - 8x15 + 42x14 - 148x13 + 402x12 - 928x11 + 1834x10 - 2940x9 + 3631x8 - 3012x7 + 1442x6 - 276x5 - 56x4 + 48x3 - 4x2 - 4x + 1 \( 2^{36}\cdot 5^{8}\cdot 11^{4} \) $C_2^2 \times D_4$ (as 16T25) $[2]$
16.0.474...000.1 x16 + 5x14 + 12x12 + 25x10 + 53x8 + 100x6 + 192x4 + 320x2 + 256 \( 2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 41^{4} \) $C_2^2 \times D_4$ (as 16T25) $[2]$
16.0.629...000.4 x16 - 2x15 + 2x14 - 16x13 + 2x12 + 62x11 + 106x9 + 219x8 - 106x7 - 62x5 + 2x4 + 16x3 + 2x2 + 2x + 1 \( 2^{24}\cdot 3^{8}\cdot 5^{8}\cdot 11^{4} \) $C_2^2 \times D_4$ (as 16T25) $[2]$
16.8.891...000.2 x16 - 4x15 + 2x14 + 8x13 + x12 - 56x11 + 56x10 + 184x9 - 464x8 + 192x7 + 576x6 - 840x5 + 321x4 + 324x3 - 450x2 + 144x + 9 \( 2^{32}\cdot 3^{12}\cdot 5^{8} \) $C_2^2 \times D_4$ (as 16T25) trivial (GRH)
16.0.891...000.7 x16 - 6x14 + x12 + 126x10 - 180x8 - 738x6 + 1081x4 + 2010x2 + 25 \( 2^{32}\cdot 3^{12}\cdot 5^{8} \) $C_2^2 \times D_4$ (as 16T25) $[4]$
16.0.891...000.8 x16 + 2x14 + 3x12 - 40x10 + 91x8 + 90x6 + 93x4 + 108x2 + 36 \( 2^{32}\cdot 3^{12}\cdot 5^{8} \) $C_2^2 \times D_4$ (as 16T25) $[4]$
16.0.891...000.13 x16 - 8x15 + 20x14 - 80x12 + 116x11 + 46x10 - 340x9 + 625x8 - 900x7 + 602x6 + 460x5 - 1016x4 + 612x3 + 66x2 - 204x + 201 \( 2^{32}\cdot 3^{12}\cdot 5^{8} \) $C_2^2 \times D_4$ (as 16T25) $[4]$
16.0.891...000.14 x16 - 23x12 + 168x8 - 368x4 + 256 \( 2^{32}\cdot 3^{12}\cdot 5^{8} \) $C_2^2 \times D_4$ (as 16T25) $[4]$
16.0.115...000.2 x16 - 12x14 + 100x12 - 408x10 + 1191x8 - 2040x6 + 2500x4 - 1500x2 + 625 \( 2^{48}\cdot 3^{8}\cdot 5^{4} \) $C_2^2 \times D_4$ (as 16T25) $[3]$
16.0.122...000.2 x16 - 24x14 + 222x12 - 916x10 + 1413x8 + 276x6 + 388x4 + 240x2 + 36 \( 2^{24}\cdot 3^{8}\cdot 5^{8}\cdot 13^{4} \) $C_2^2 \times D_4$ (as 16T25) $[2]$
16.0.206...016.1 x16 + 28x14 + 282x12 + 1296x10 + 2917x8 + 3228x6 + 1616x4 + 296x2 + 4 \( 2^{32}\cdot 7^{8}\cdot 17^{4} \) $C_2^2 \times D_4$ (as 16T25) $[4]$
16.8.259...696.2 x16 - 16x14 + 108x12 - 416x10 + 972x8 - 1216x6 + 496x4 + 96x2 + 144 \( 2^{36}\cdot 3^{8}\cdot 7^{8} \) $C_2^2 \times D_4$ (as 16T25) trivial (GRH)
16.0.259...696.9 x16 + 16x14 + 108x12 + 416x10 + 972x8 + 1216x6 + 496x4 - 96x2 + 144 \( 2^{36}\cdot 3^{8}\cdot 7^{8} \) $C_2^2 \times D_4$ (as 16T25) $[8]$
16.0.259...696.10 x16 - 8x15 + 38x14 - 96x13 + 112x12 - 112x11 + 912x10 - 3884x9 + 6747x8 - 4100x7 - 444x6 - 352x5 + 1900x4 - 372x3 - 250x2 - 260x + 169 \( 2^{36}\cdot 3^{8}\cdot 7^{8} \) $C_2^2 \times D_4$ (as 16T25) $[8]$
16.0.259...696.11 x16 - 12x14 + 74x12 - 156x10 - 35x8 + 480x6 - 36x4 - 216x2 + 324 \( 2^{36}\cdot 3^{8}\cdot 7^{8} \) $C_2^2 \times D_4$ (as 16T25) $[2, 2]$
16.0.293...816.1 x16 + 10x14 - 6x13 + 54x12 + 6x11 + 274x10 + 12x9 + 106x8 - 1062x7 + 402x6 + 3798x5 + 10509x4 + 11844x3 + 7524x2 + 1728x + 144 \( 2^{16}\cdot 3^{12}\cdot 7^{8}\cdot 11^{4} \) $C_2^2 \times D_4$ (as 16T25) $[2]$
16.0.359...000.1 x16 - 2x15 - x14 - 22x13 + 14x12 + 138x11 - 11x10 - 58x9 + 339x8 + 144x7 - 118x6 + 312x5 + 232x4 - 128x3 - 72x2 + 16 \( 2^{24}\cdot 3^{8}\cdot 5^{8}\cdot 17^{4} \) $C_2^2 \times D_4$ (as 16T25) $[2]$
16.0.443...416.1 x16 - 4x14 + 8x12 - 88x10 + 127x8 + 616x6 + 392x4 + 1372x2 + 2401 \( 2^{48}\cdot 3^{8}\cdot 7^{4} \) $C_2^2 \times D_4$ (as 16T25) $[4]$
16.0.474...000.3 x16 - x12 + x8 - 16x4 + 256 \( 2^{32}\cdot 5^{8}\cdot 41^{4} \) $C_2^2 \times D_4$ (as 16T25) $[2]$
16.0.181...536.1 x16 + 32x14 + 374x12 + 1968x10 + 4595x8 + 4080x6 + 1298x4 + 80x2 + 1 \( 2^{24}\cdot 3^{8}\cdot 7^{8}\cdot 13^{4} \) $C_2^2 \times D_4$ (as 16T25) $[6]$
16.0.292...136.1 x16 + x14 - 4x12 - 3x10 + 5x8 - 12x6 - 64x4 + 64x2 + 256 \( 2^{16}\cdot 3^{8}\cdot 13^{8}\cdot 17^{4} \) $C_2^2 \times D_4$ (as 16T25) $[4]$
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