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Label Polynomial Discriminant Galois group Class group Regulator
16.0.28446927251784561.1 $x^{16} - x^{15} + x^{14} - x^{13} - x^{12} + 5 x^{11} - 5 x^{10} + 7 x^{9} - 11 x^{8} + 3 x^{7} + 10 x^{6} - 12 x^{5} + 10 x^{4} - 13 x^{3} + 13 x^{2} - 6 x + 1$ $3^{12}\cdot 13^{4}\cdot 37^{4}$ $C_2^6:D_8$ (as 16T1275) trivial $88.8081502948$
16.0.69300891562890625.1 $x^{16} - 2 x^{15} + 7 x^{14} - 7 x^{13} + 14 x^{12} - 3 x^{11} + 8 x^{10} + 12 x^{9} - x^{8} + 12 x^{7} + 8 x^{6} - 3 x^{5} + 14 x^{4} - 7 x^{3} + 7 x^{2} - 2 x + 1$ $5^{8}\cdot 11^{4}\cdot 59^{4}$ $C_2^6:D_8$ (as 16T1275) trivial $41.2157931721$
16.0.896799908823040000.1 $x^{16} - 2 x^{14} - 4 x^{13} + 8 x^{12} - 4 x^{11} + 2 x^{10} - 8 x^{9} + 20 x^{8} - 48 x^{7} + 42 x^{6} + 32 x^{5} - 36 x^{4} + 16 x^{3} + 14 x^{2} - 8 x + 1$ $2^{34}\cdot 5^{4}\cdot 17^{4}$ $C_2^6:D_8$ (as 16T1275) trivial $636.335618263$
16.0.136...000.1 $x^{16} - 2 x^{15} + 2 x^{14} - 4 x^{13} + 8 x^{12} - 6 x^{11} - 4 x^{10} + 2 x^{9} - x^{8} + 10 x^{7} - 4 x^{6} - 10 x^{5} + 38 x^{4} - 44 x^{3} + 34 x^{2} - 10 x + 1$ $2^{28}\cdot 5^{8}\cdot 19^{4}$ $C_2^6:D_8$ (as 16T1275) trivial $946.232424771$
16.4.136...000.1 $x^{16} + 2 x^{14} - 10 x^{12} - 4 x^{11} - 6 x^{10} + 60 x^{9} + 8 x^{8} - 64 x^{7} - 22 x^{6} + 8 x^{5} + 30 x^{4} + 12 x^{3} - 6 x^{2} - 12 x - 1$ $2^{28}\cdot 5^{8}\cdot 19^{4}$ $C_2^6:D_8$ (as 16T1275) trivial $2010.64559282$
16.4.136...000.2 $x^{16} - 2 x^{15} - 2 x^{14} + 4 x^{13} - 4 x^{12} + 10 x^{11} - 20 x^{10} + 34 x^{9} - 3 x^{8} - 38 x^{7} + 12 x^{6} + 10 x^{5} - 38 x^{4} + 20 x^{3} - 6 x^{2} + 22 x + 19$ $2^{28}\cdot 5^{8}\cdot 19^{4}$ $C_2^6:D_8$ (as 16T1275) trivial $2031.01984537$
16.0.228...496.1 $x^{16} - 2 x^{15} + x^{14} - 2 x^{13} + x^{12} + 8 x^{10} - 24 x^{9} + 40 x^{8} - 20 x^{7} + 16 x^{6} - 116 x^{5} + 255 x^{4} - 266 x^{3} + 151 x^{2} - 46 x + 7$ $2^{24}\cdot 17^{4}\cdot 113^{4}$ $C_2^6:D_8$ (as 16T1275) trivial $9680.23091878$
16.4.241...625.1 $x^{16} - 3 x^{15} - 5 x^{14} + 28 x^{13} - 21 x^{12} - 65 x^{11} + 154 x^{10} - 76 x^{9} - 169 x^{8} + 371 x^{7} - 358 x^{6} + 186 x^{5} - 31 x^{4} - 28 x^{3} + 24 x^{2} - 8 x + 1$ $5^{8}\cdot 11^{4}\cdot 59^{6}$ $C_2^6:D_8$ (as 16T1275) trivial $11237.4180317$
16.0.765...816.1 $x^{16} + 4 x^{14} - 16 x^{13} + 14 x^{12} - 28 x^{11} + 90 x^{10} - 80 x^{9} + 50 x^{8} - 240 x^{7} + 410 x^{6} - 368 x^{5} + 523 x^{4} - 624 x^{3} + 370 x^{2} - 180 x + 81$ $2^{24}\cdot 23^{4}\cdot 113^{4}$ $C_2^6:D_8$ (as 16T1275) trivial $7639.63366858$
16.4.214...176.1 $x^{16} - 3 x^{14} - 2 x^{13} - 10 x^{12} + 44 x^{11} - 56 x^{10} + 68 x^{9} - 31 x^{8} - 80 x^{7} + 54 x^{6} + 56 x^{5} + 38 x^{4} - 176 x^{3} + 116 x^{2} - 8 x - 10$ $2^{28}\cdot 41^{8}$ $C_2^6:D_8$ (as 16T1275) trivial $50474.4814515$
16.8.493...000.1 $x^{16} - 2 x^{15} - 4 x^{14} + 4 x^{13} - 6 x^{12} + 52 x^{11} - 52 x^{10} - 32 x^{9} - 18 x^{8} + 196 x^{7} - 152 x^{6} - 112 x^{5} + 232 x^{4} - 128 x^{3} + 8 x^{2} + 16 x - 4$ $2^{28}\cdot 5^{8}\cdot 19^{6}$ $C_2^6:D_8$ (as 16T1275) trivial $112404.325681$
16.8.493...000.2 $x^{16} - 2 x^{15} - 2 x^{13} - 18 x^{12} + 60 x^{11} + 16 x^{10} - 130 x^{9} + 105 x^{8} - 72 x^{7} - 160 x^{6} + 394 x^{5} - 14 x^{4} - 270 x^{3} + 72 x^{2} + 12 x - 1$ $2^{28}\cdot 5^{8}\cdot 19^{6}$ $C_2^6:D_8$ (as 16T1275) trivial $115115.570783$
16.0.133...656.1 $x^{16} - 6 x^{15} + 23 x^{14} - 62 x^{13} + 146 x^{12} - 286 x^{11} + 539 x^{10} - 990 x^{9} + 1759 x^{8} - 2744 x^{7} + 3680 x^{6} - 4360 x^{5} + 4632 x^{4} - 4112 x^{3} + 2776 x^{2} - 1248 x + 288$ $2^{24}\cdot 47^{4}\cdot 113^{4}$ $C_2^6:D_8$ (as 16T1275) trivial $506496.645927$
16.0.278...896.1 $x^{16} + x^{14} - 10 x^{12} - 7 x^{10} + 81 x^{8} - 140 x^{6} + 136 x^{4} - 64 x^{2} + 16$ $2^{20}\cdot 113^{8}$ $C_2^6:D_8$ (as 16T1275) trivial $380524.164842$
16.0.390...000.1 $x^{16} - 5 x^{14} + 42 x^{12} - 120 x^{10} + 423 x^{8} - 805 x^{6} + 1667 x^{4} - 4545 x^{2} + 10201$ $2^{16}\cdot 5^{8}\cdot 11^{4}\cdot 101^{4}$ $C_2^6:D_8$ (as 16T1275) trivial $48637.9247115$
16.8.695...656.1 $x^{16} - 8 x^{14} - 16 x^{13} - 11 x^{12} + 88 x^{11} + 234 x^{10} + 220 x^{9} - 209 x^{8} - 1120 x^{7} - 1666 x^{6} - 1164 x^{5} + 359 x^{4} + 1336 x^{3} + 1126 x^{2} - 60 x - 279$ $2^{24}\cdot 71^{4}\cdot 113^{4}$ $C_2^6:D_8$ (as 16T1275) trivial $398630.418699$
16.0.776...216.1 $x^{16} - 6 x^{15} + 31 x^{14} - 108 x^{13} + 306 x^{12} - 706 x^{11} + 1368 x^{10} - 2234 x^{9} + 3105 x^{8} - 3662 x^{7} + 3576 x^{6} - 2614 x^{5} + 1188 x^{4} - 292 x^{3} + 73 x^{2} - 10 x + 7$ $2^{24}\cdot 73^{4}\cdot 113^{4}$ $C_2^6:D_8$ (as 16T1275) trivial $90055.4291055$
16.0.153...104.7 $x^{16} + 4 x^{14} + 10 x^{12} + 40 x^{10} + 4 x^{8} + 124 x^{6} + 22 x^{4} - 8 x^{2} + 1$ $2^{58}\cdot 3^{12}$ $C_2^6:D_8$ (as 16T1275) $[2]$ $86675.53499984046$
16.0.153...104.19 $x^{16} + 22 x^{12} + 36 x^{10} - 12 x^{8} - 24 x^{6} + 10 x^{4} + 12 x^{2} + 1$ $2^{58}\cdot 3^{12}$ $C_2^6:D_8$ (as 16T1275) $[2]$ $109364.87986600593$
16.0.153...104.20 $x^{16} - 14 x^{12} + 36 x^{10} - 12 x^{8} + 48 x^{6} + 46 x^{4} + 12 x^{2} + 1$ $2^{58}\cdot 3^{12}$ $C_2^6:D_8$ (as 16T1275) $[2]$ $90574.43565482362$
16.4.153...104.24 $x^{16} - 14 x^{12} - 12 x^{10} + 60 x^{8} + 48 x^{6} - 50 x^{4} - 156 x^{2} + 1$ $2^{58}\cdot 3^{12}$ $C_2^6:D_8$ (as 16T1275) trivial $448547.90465007786$
16.0.153...104.25 $x^{16} + 4 x^{14} - 2 x^{12} - 8 x^{10} - 44 x^{8} + 28 x^{6} + 34 x^{4} + 40 x^{2} + 1$ $2^{58}\cdot 3^{12}$ $C_2^6:D_8$ (as 16T1275) $[2]$ $332081.43146737333$
16.4.153...104.25 $x^{16} - 8 x^{14} + 34 x^{12} - 92 x^{10} + 172 x^{8} - 224 x^{6} + 190 x^{4} - 92 x^{2} + 1$ $2^{58}\cdot 3^{12}$ $C_2^6:D_8$ (as 16T1275) trivial $1612881.4660117573$
16.0.153...104.26 $x^{16} + 8 x^{14} + 34 x^{12} + 92 x^{10} + 172 x^{8} + 224 x^{6} + 190 x^{4} + 92 x^{2} + 1$ $2^{58}\cdot 3^{12}$ $C_2^6:D_8$ (as 16T1275) $[2]$ $89328.6537922047$
16.0.153...104.27 $x^{16} - 14 x^{12} + 12 x^{10} + 60 x^{8} - 48 x^{6} - 50 x^{4} + 156 x^{2} + 1$ $2^{58}\cdot 3^{12}$ $C_2^6:D_8$ (as 16T1275) $[2]$ $96687.78153564183$
16.4.153...104.28 $x^{16} - 4 x^{14} - 2 x^{12} + 8 x^{10} - 44 x^{8} - 28 x^{6} + 34 x^{4} - 40 x^{2} + 1$ $2^{58}\cdot 3^{12}$ $C_2^6:D_8$ (as 16T1275) trivial $397665.29041613813$
16.4.153...104.30 $x^{16} + 22 x^{12} - 36 x^{10} - 12 x^{8} + 24 x^{6} + 10 x^{4} - 12 x^{2} + 1$ $2^{58}\cdot 3^{12}$ $C_2^6:D_8$ (as 16T1275) trivial $499797.60412504623$
16.4.153...104.31 $x^{16} - 14 x^{12} - 36 x^{10} - 12 x^{8} - 48 x^{6} + 46 x^{4} - 12 x^{2} + 1$ $2^{58}\cdot 3^{12}$ $C_2^6:D_8$ (as 16T1275) trivial $455408.1402092249$
16.0.153...104.45 $x^{16} + 4 x^{14} + 6 x^{12} + 16 x^{10} + 4 x^{8} - 12 x^{6} - 6 x^{4} + 9$ $2^{58}\cdot 3^{12}$ $C_2^6:D_8$ (as 16T1275) $[2]$ $72123.79870279474$
16.4.153...104.49 $x^{16} - 4 x^{14} + 10 x^{12} - 40 x^{10} + 4 x^{8} - 124 x^{6} + 22 x^{4} + 8 x^{2} + 1$ $2^{58}\cdot 3^{12}$ $C_2^6:D_8$ (as 16T1275) trivial $448296.26479793736$
16.0.153...104.50 $x^{16} + 8 x^{14} + 30 x^{12} + 68 x^{10} + 100 x^{8} + 96 x^{6} + 66 x^{4} + 36 x^{2} + 9$ $2^{58}\cdot 3^{12}$ $C_2^6:D_8$ (as 16T1275) $[2]$ $364588.3161018397$
16.4.153...104.71 $x^{16} - 8 x^{14} + 30 x^{12} - 68 x^{10} + 100 x^{8} - 96 x^{6} + 66 x^{4} - 36 x^{2} + 9$ $2^{58}\cdot 3^{12}$ $C_2^6:D_8$ (as 16T1275) trivial $467702.71230712975$
16.4.153...104.73 $x^{16} - 4 x^{14} + 6 x^{12} - 16 x^{10} + 4 x^{8} + 12 x^{6} - 6 x^{4} + 9$ $2^{58}\cdot 3^{12}$ $C_2^6:D_8$ (as 16T1275) trivial $1557278.4076659821$
16.0.183...264.1 $x^{16} - 8 x^{13} + 36 x^{12} - 16 x^{11} - 96 x^{10} + 344 x^{9} - 720 x^{8} + 768 x^{7} + 728 x^{6} - 4152 x^{5} + 7844 x^{4} - 9112 x^{3} + 7112 x^{2} - 3632 x + 953$ $2^{50}\cdot 113^{4}$ $C_2^6:D_8$ (as 16T1275) $[2]$ $73642.0834127$
16.8.183...264.1 $x^{16} - 16 x^{14} - 24 x^{13} + 44 x^{12} + 176 x^{11} + 160 x^{10} - 272 x^{9} - 592 x^{8} - 64 x^{7} + 464 x^{6} + 344 x^{5} - 436 x^{4} - 1640 x^{3} - 1440 x^{2} - 344 x - 23$ $2^{50}\cdot 113^{4}$ $C_2^6:D_8$ (as 16T1275) trivial $1102853.00425$
16.0.183...264.2 $x^{16} - 8 x^{13} - 20 x^{12} - 16 x^{11} + 56 x^{10} + 72 x^{9} + 144 x^{8} + 1112 x^{7} + 3328 x^{6} + 5680 x^{5} + 6060 x^{4} + 4240 x^{3} + 3224 x^{2} + 1624 x + 953$ $2^{50}\cdot 113^{4}$ $C_2^6:D_8$ (as 16T1275) $[2]$ $90719.9112667$
16.0.382...376.2 $x^{16} - 8 x^{14} + 28 x^{12} - 56 x^{10} + 78 x^{8} - 88 x^{6} + 60 x^{4} - 8 x^{2} + 1$ $2^{72}\cdot 3^{4}$ $C_2^6:D_8$ (as 16T1275) trivial $352717.5908330217$
16.0.382...376.3 $x^{16} + 8 x^{14} + 28 x^{12} + 56 x^{10} + 78 x^{8} + 88 x^{6} + 60 x^{4} + 8 x^{2} + 1$ $2^{72}\cdot 3^{4}$ $C_2^6:D_8$ (as 16T1275) trivial $182774.60787941495$
16.0.382...376.12 $x^{16} + 8 x^{14} + 20 x^{12} + 8 x^{10} + 42 x^{8} + 72 x^{6} - 4 x^{4} - 24 x^{2} + 9$ $2^{72}\cdot 3^{4}$ $C_2^6:D_8$ (as 16T1275) trivial $752518.6252621874$
16.0.382...376.16 $x^{16} + 20 x^{12} - 48 x^{10} + 66 x^{8} - 64 x^{6} + 44 x^{4} - 16 x^{2} + 9$ $2^{72}\cdot 3^{4}$ $C_2^6:D_8$ (as 16T1275) trivial $1337674.4472731592$
16.0.382...376.18 $x^{16} + 20 x^{12} + 48 x^{10} + 66 x^{8} + 64 x^{6} + 44 x^{4} + 16 x^{2} + 9$ $2^{72}\cdot 3^{4}$ $C_2^6:D_8$ (as 16T1275) trivial $372229.1286304092$
16.0.382...376.20 $x^{16} - 8 x^{14} + 20 x^{12} - 8 x^{10} + 42 x^{8} - 72 x^{6} - 4 x^{4} + 24 x^{2} + 9$ $2^{72}\cdot 3^{4}$ $C_2^6:D_8$ (as 16T1275) trivial $360164.0647022608$
16.0.382...376.58 $x^{16} + 8 x^{14} + 44 x^{12} + 152 x^{10} + 406 x^{8} + 696 x^{6} + 396 x^{4} - 216 x^{2} + 81$ $2^{72}\cdot 3^{4}$ $C_2^6:D_8$ (as 16T1275) trivial $464671.5354341782$
16.0.382...376.60 $x^{16} - 8 x^{14} + 28 x^{12} - 56 x^{10} + 94 x^{8} - 152 x^{6} + 156 x^{4} - 72 x^{2} + 81$ $2^{72}\cdot 3^{4}$ $C_2^6:D_8$ (as 16T1275) trivial $717600.3135564289$
16.0.382...376.64 $x^{16} + 8 x^{14} + 28 x^{12} + 56 x^{10} + 94 x^{8} + 152 x^{6} + 156 x^{4} + 72 x^{2} + 81$ $2^{72}\cdot 3^{4}$ $C_2^6:D_8$ (as 16T1275) trivial $2784726.7516210875$
16.0.382...376.67 $x^{16} - 8 x^{14} + 44 x^{12} - 152 x^{10} + 406 x^{8} - 696 x^{6} + 396 x^{4} + 216 x^{2} + 81$ $2^{72}\cdot 3^{4}$ $C_2^6:D_8$ (as 16T1275) trivial $926666.8744573507$
16.0.382...376.90 $x^{16} - 16 x^{14} + 80 x^{12} - 96 x^{10} - 156 x^{8} + 352 x^{6} + 96 x^{4} - 576 x^{2} + 324$ $2^{72}\cdot 3^{4}$ $C_2^6:D_8$ (as 16T1275) trivial $1293188.6362533302$
16.0.382...376.91 $x^{16} + 16 x^{12} + 32 x^{10} + 228 x^{8} - 1024 x^{6} + 2016 x^{4} - 576 x^{2} + 324$ $2^{72}\cdot 3^{4}$ $C_2^6:D_8$ (as 16T1275) trivial $2855831.1365095633$
16.0.382...376.92 $x^{16} + 16 x^{14} + 80 x^{12} + 96 x^{10} - 156 x^{8} - 352 x^{6} + 96 x^{4} + 576 x^{2} + 324$ $2^{72}\cdot 3^{4}$ $C_2^6:D_8$ (as 16T1275) trivial $639708.6257853484$
16.0.382...376.93 $x^{16} + 16 x^{12} - 32 x^{10} + 228 x^{8} + 1024 x^{6} + 2016 x^{4} + 576 x^{2} + 324$ $2^{72}\cdot 3^{4}$ $C_2^6:D_8$ (as 16T1275) trivial $380076.66926201177$
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