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Label Polynomial Discriminant Galois group Class group Regulator
16.0.76391777587890625.1 $x^{16} - x^{15} + 5 x^{14} - 8 x^{13} + 11 x^{12} - 16 x^{11} + 2 x^{10} - 7 x^{9} - 7 x^{8} + 7 x^{7} + 2 x^{6} + 16 x^{5} + 11 x^{4} + 8 x^{3} + 5 x^{2} + x + 1$ $5^{12}\cdot 7^{4}\cdot 19^{4}$ $C_2^5:C_4$ (as 16T227) trivial $291.900520831$
16.0.176610062500000000.1 $x^{16} - 3 x^{15} + 4 x^{14} - 4 x^{13} + 2 x^{12} - 3 x^{11} + 3 x^{10} + 6 x^{9} - 4 x^{8} - 6 x^{7} + 3 x^{6} + 3 x^{5} + 2 x^{4} + 4 x^{3} + 4 x^{2} + 3 x + 1$ $2^{8}\cdot 5^{12}\cdot 41^{4}$ $C_2^5:C_4$ (as 16T227) trivial $429.454497529$
16.0.203626562500000000.1 $x^{16} - 5 x^{15} + 13 x^{14} - 30 x^{13} + 58 x^{12} - 85 x^{11} + 106 x^{10} - 120 x^{9} + 125 x^{8} - 120 x^{7} + 106 x^{6} - 85 x^{5} + 58 x^{4} - 30 x^{3} + 13 x^{2} - 5 x + 1$ $2^{8}\cdot 5^{14}\cdot 19^{4}$ $C_2^5:C_4$ (as 16T227) trivial $526.053688483$
16.0.239625547119140625.1 $x^{16} - 2 x^{15} - 3 x^{14} + 3 x^{13} + 13 x^{12} - 17 x^{11} + 5 x^{10} + 10 x^{9} - 19 x^{8} + 10 x^{7} + 5 x^{6} - 17 x^{5} + 13 x^{4} + 3 x^{3} - 3 x^{2} - 2 x + 1$ $3^{4}\cdot 5^{12}\cdot 59^{4}$ $C_2^5:C_4$ (as 16T227) trivial $628.8983375986766$
16.0.273806914306640625.1 $x^{16} - x^{15} - 2 x^{14} + 6 x^{13} - 2 x^{12} - 11 x^{11} + 10 x^{10} - 9 x^{8} + 10 x^{6} + 11 x^{5} - 2 x^{4} - 6 x^{3} - 2 x^{2} + x + 1$ $3^{4}\cdot 5^{12}\cdot 61^{4}$ $C_2^5:C_4$ (as 16T227) trivial $678.57618618$
16.0.456574713134765625.1 $x^{16} - 5 x^{15} + 14 x^{14} - 30 x^{13} + 52 x^{12} - 75 x^{11} + 92 x^{10} - 95 x^{9} + 80 x^{8} - 50 x^{7} + 18 x^{6} + 5 x^{5} - 13 x^{4} + 5 x^{3} + x^{2} + 1$ $3^{4}\cdot 5^{14}\cdot 31^{4}$ $C_2^5:C_4$ (as 16T227) trivial $698.1176141136633$
16.0.587...944.4 $x^{16} - 4 x^{14} + 22 x^{12} - 36 x^{10} + 74 x^{8} - 52 x^{6} + 54 x^{4} - 4 x^{2} + 1$ $2^{46}\cdot 17^{4}$ $C_2^5:C_4$ (as 16T227) trivial $1488.0672338716688$
16.0.829...000.3 $x^{16} - 6 x^{15} + 14 x^{14} - 16 x^{13} + 16 x^{12} - 18 x^{11} - 34 x^{10} + 152 x^{9} - 108 x^{8} - 242 x^{7} + 466 x^{6} - 282 x^{5} + 131 x^{4} - 124 x^{3} + 34 x^{2} + 6 x + 11$ $2^{24}\cdot 3^{4}\cdot 5^{14}$ $C_2^5:C_4$ (as 16T227) trivial $2840.754936449738$
16.0.212...625.1 $x^{16} - 2 x^{15} - x^{14} + 9 x^{13} - 3 x^{12} + 3 x^{11} - 12 x^{10} - 6 x^{9} + 96 x^{8} + 11 x^{7} - 112 x^{6} + 17 x^{5} + 212 x^{4} + 46 x^{3} - 6 x^{2} - 3 x + 1$ $3^{4}\cdot 5^{12}\cdot 181^{4}$ $C_2^5:C_4$ (as 16T227) $[2]$ $2939.0940342$
16.0.216...000.1 $x^{16} - 5 x^{15} + 17 x^{14} - 45 x^{13} + 108 x^{12} - 235 x^{11} + 454 x^{10} - 765 x^{9} + 1115 x^{8} - 1350 x^{7} + 1309 x^{6} - 900 x^{5} + 413 x^{4} - 75 x^{3} + 12 x^{2} + 1$ $2^{8}\cdot 5^{14}\cdot 61^{4}$ $C_2^5:C_4$ (as 16T227) $[2]$ $3952.64573772$
16.0.649...944.2 $x^{16} - 12 x^{12} - 12 x^{10} + 53 x^{8} + 92 x^{6} + 2 x^{4} - 96 x^{2} + 64$ $2^{46}\cdot 31^{4}$ $C_2^5:C_4$ (as 16T227) trivial $9164.576456445144$
16.0.932...000.1 $x^{16} - 3 x^{15} + 2 x^{14} - 3 x^{13} + 16 x^{12} - 9 x^{11} - 10 x^{10} - 23 x^{9} + 22 x^{8} + 33 x^{7} + 34 x^{6} - 25 x^{5} - 57 x^{4} - 16 x^{3} + 22 x^{2} + 16 x + 4$ $2^{8}\cdot 5^{4}\cdot 17^{12}$ $C_2^5:C_4$ (as 16T227) trivial $7137.29760757$
16.8.113...625.1 $x^{16} - 8 x^{15} + 30 x^{14} - 70 x^{13} + 90 x^{12} + 6 x^{11} - 258 x^{10} + 520 x^{9} - 460 x^{8} - 70 x^{7} + 652 x^{6} - 776 x^{5} + 370 x^{4} + 60 x^{3} - 150 x^{2} + 63 x - 9$ $3^{8}\cdot 5^{14}\cdot 41^{4}$ $C_2^5:C_4$ (as 16T227) trivial $10472.6622874$
16.0.132...000.1 $x^{16} + 4 x^{14} - 10 x^{13} + 22 x^{12} - 50 x^{11} + 112 x^{10} - 140 x^{9} + 295 x^{8} - 350 x^{7} + 628 x^{6} - 600 x^{5} + 612 x^{4} - 310 x^{3} + 156 x^{2} - 10 x + 1$ $2^{28}\cdot 3^{4}\cdot 5^{14}$ $C_2^5:C_4$ (as 16T227) $[2]$ $1338.17433783$
16.8.132...000.1 $x^{16} - 4 x^{15} - 6 x^{14} + 36 x^{13} + 6 x^{12} - 112 x^{11} - 14 x^{10} + 208 x^{9} + 22 x^{8} - 208 x^{7} - 14 x^{6} + 112 x^{5} + 6 x^{4} - 36 x^{3} - 6 x^{2} + 4 x + 1$ $2^{28}\cdot 3^{4}\cdot 5^{14}$ $C_2^5:C_4$ (as 16T227) trivial $13147.1416221$
16.0.243...625.1 $x^{16} + 14 x^{14} + 47 x^{12} + 97 x^{10} + 155 x^{8} + 188 x^{6} + 122 x^{4} + 31 x^{2} + 1$ $3^{4}\cdot 5^{14}\cdot 149^{4}$ $C_2^5:C_4$ (as 16T227) trivial $20739.143595762245$
16.0.725...625.1 $x^{16} - 6 x^{15} + 17 x^{14} - 33 x^{13} + 56 x^{12} - 69 x^{11} + 37 x^{10} - 14 x^{9} + 127 x^{8} - 315 x^{7} + 388 x^{6} - 302 x^{5} + 102 x^{4} - 14 x^{3} + 39 x^{2} + 10 x + 1$ $5^{12}\cdot 13^{4}\cdot 101^{4}$ $C_2^5:C_4$ (as 16T227) $[2]$ $23011.5855457$
16.8.959...000.1 $x^{16} - 24 x^{12} + 126 x^{8} - 24 x^{4} + 1$ $2^{28}\cdot 5^{12}\cdot 11^{4}$ $C_2^5:C_4$ (as 16T227) trivial $65229.2145633$
16.8.959...000.3 $x^{16} - 26 x^{12} + 131 x^{8} - 46 x^{4} + 1$ $2^{28}\cdot 5^{12}\cdot 11^{4}$ $C_2^5:C_4$ (as 16T227) trivial $37251.95981547908$
16.0.113...000.3 $x^{16} - 5 x^{14} + 5 x^{12} - 10 x^{10} + 205 x^{8} - 700 x^{6} + 1250 x^{4} - 1250 x^{2} + 625$ $2^{16}\cdot 5^{14}\cdot 41^{4}$ $C_2^5:C_4$ (as 16T227) $[2]$ $28337.6228809$
16.8.166...000.1 $x^{16} - 8 x^{14} + 4 x^{12} + 33 x^{10} + 116 x^{8} - 425 x^{6} + 430 x^{4} - 175 x^{2} + 25$ $2^{16}\cdot 5^{12}\cdot 101^{4}$ $C_2^5:C_4$ (as 16T227) trivial $38833.84896534541$
16.0.166...000.1 $x^{16} - 5 x^{14} + 19 x^{12} - 55 x^{10} + 121 x^{8} - 220 x^{6} + 304 x^{4} - 320 x^{2} + 256$ $2^{16}\cdot 5^{12}\cdot 101^{4}$ $C_2^5:C_4$ (as 16T227) $[2]$ $23289.0756164$
16.0.217...000.12 $x^{16} - 4 x^{15} + 16 x^{14} - 28 x^{13} + 17 x^{12} - 4 x^{11} - 128 x^{10} + 82 x^{9} - 14 x^{8} + 282 x^{7} + 472 x^{6} + 156 x^{5} + 352 x^{4} + 92 x^{3} + 76 x^{2} + 6 x + 1$ $2^{24}\cdot 3^{12}\cdot 5^{12}$ $C_2^5:C_4$ (as 16T227) $[2]$ $47051.01755016819$
16.8.429...000.1 $x^{16} - 12 x^{14} + 62 x^{12} - 220 x^{10} + 551 x^{8} - 740 x^{6} + 398 x^{4} - 96 x^{2} + 1$ $2^{44}\cdot 5^{12}$ $C_2^5:C_4$ (as 16T227) trivial $131049.544859$
16.8.597...584.3 $x^{16} - 16 x^{14} + 124 x^{12} - 576 x^{10} + 1594 x^{8} - 2544 x^{6} + 2196 x^{4} - 864 x^{2} + 81$ $2^{66}\cdot 3^{4}$ $C_2^5:C_4$ (as 16T227) trivial $137024.73471604462$
16.0.597...584.44 $x^{16} - 20 x^{12} + 32 x^{10} + 238 x^{8} - 96 x^{6} - 180 x^{4} + 81$ $2^{66}\cdot 3^{4}$ $C_2^5:C_4$ (as 16T227) trivial $72862.88489809254$
16.0.597...584.45 $x^{16} - 20 x^{12} - 32 x^{10} + 238 x^{8} + 96 x^{6} - 180 x^{4} + 81$ $2^{66}\cdot 3^{4}$ $C_2^5:C_4$ (as 16T227) trivial $25532.602035999684$
16.0.597...584.49 $x^{16} + 16 x^{14} + 124 x^{12} + 576 x^{10} + 1594 x^{8} + 2544 x^{6} + 2196 x^{4} + 864 x^{2} + 81$ $2^{66}\cdot 3^{4}$ $C_2^5:C_4$ (as 16T227) trivial $26051.984856964962$
16.8.115...000.3 $x^{16} - 4 x^{15} - 8 x^{14} + 48 x^{13} - 9 x^{12} - 166 x^{11} + 132 x^{10} + 234 x^{9} - 303 x^{8} - 70 x^{7} + 258 x^{6} - 138 x^{5} - 33 x^{4} + 74 x^{3} - 36 x^{2} + 1$ $2^{24}\cdot 5^{12}\cdot 41^{4}$ $C_2^5:C_4$ (as 16T227) trivial $114743.78144235106$
16.8.115...000.4 $x^{16} - 4 x^{15} + 4 x^{14} + 16 x^{13} - 65 x^{12} + 86 x^{11} - 8 x^{10} - 212 x^{9} + 348 x^{8} + 138 x^{7} - 688 x^{6} + 392 x^{5} + 164 x^{4} - 198 x^{3} + 8 x^{2} + 22 x + 1$ $2^{24}\cdot 5^{12}\cdot 41^{4}$ $C_2^5:C_4$ (as 16T227) trivial $223161.3908924072$
16.0.115...000.5 $x^{16} - 2 x^{15} + 3 x^{14} - 8 x^{13} - 3 x^{12} + 32 x^{11} + 24 x^{10} - 56 x^{9} + 22 x^{8} + 88 x^{7} + 56 x^{6} + 56 x^{5} + 52 x^{4} - 96 x^{3} + 112 x^{2} + 64 x + 16$ $2^{24}\cdot 5^{12}\cdot 41^{4}$ $C_2^5:C_4$ (as 16T227) $[2, 2]$ $16737.7083292$
16.0.115...000.6 $x^{16} - 2 x^{15} + 3 x^{14} - 8 x^{13} - 3 x^{12} + 22 x^{11} + 9 x^{10} + 34 x^{9} + 112 x^{8} + 98 x^{7} + 191 x^{6} - 4 x^{5} + 117 x^{4} - 46 x^{3} + 37 x^{2} - 6 x + 1$ $2^{24}\cdot 5^{12}\cdot 41^{4}$ $C_2^5:C_4$ (as 16T227) $[2, 2]$ $10975.4746837$
16.8.157...000.1 $x^{16} - 6 x^{14} + 11 x^{12} - x^{10} - 109 x^{8} + 190 x^{6} + 330 x^{4} - 200 x^{2} + 25$ $2^{16}\cdot 3^{4}\cdot 5^{12}\cdot 59^{4}$ $C_2^5:C_4$ (as 16T227) trivial $154371.34006670225$
16.0.157...000.3 $x^{16} + 2 x^{14} - x^{12} + 23 x^{10} + 151 x^{8} + 10 x^{6} + 110 x^{4} + 100 x^{2} + 25$ $2^{16}\cdot 3^{4}\cdot 5^{12}\cdot 59^{4}$ $C_2^5:C_4$ (as 16T227) $[2]$ $14492.436972008069$
16.0.179...000.1 $x^{16} + 7 x^{14} + 49 x^{12} + 108 x^{10} + 196 x^{8} - 450 x^{6} + 260 x^{4} - 75 x^{2} + 25$ $2^{16}\cdot 3^{4}\cdot 5^{12}\cdot 61^{4}$ $C_2^5:C_4$ (as 16T227) $[4]$ $10557.253437747004$
16.0.214...625.1 $x^{16} - 2 x^{15} - 6 x^{14} + 23 x^{13} + 2 x^{12} + 22 x^{11} - 126 x^{10} - 186 x^{9} + 1594 x^{8} - 1464 x^{7} + 382 x^{6} + 500 x^{5} - 314 x^{4} - 155 x^{3} + 260 x^{2} - 125 x + 25$ $3^{4}\cdot 5^{12}\cdot 1021^{4}$ $C_2^5:C_4$ (as 16T227) $[4]$ $48470.1230368587$
16.0.229...000.1 $x^{16} + 6 x^{14} + 27 x^{12} + 63 x^{10} + 95 x^{8} + 72 x^{6} + 42 x^{4} + 9 x^{2} + 1$ $2^{16}\cdot 3^{4}\cdot 5^{14}\cdot 29^{4}$ $C_2^5:C_4$ (as 16T227) $[4]$ $12926.965644081902$
16.0.240...624.8 $x^{16} - 8 x^{13} - 12 x^{12} - 8 x^{11} - 40 x^{10} - 64 x^{9} + 38 x^{8} + 400 x^{7} + 1312 x^{6} + 2864 x^{5} + 4164 x^{4} + 3904 x^{3} + 2248 x^{2} + 720 x + 98$ $2^{58}\cdot 17^{4}$ $C_2^5:C_4$ (as 16T227) $[4]$ $27354.388049854573$
16.0.240...624.9 $x^{16} + 16 x^{14} - 8 x^{13} + 112 x^{12} - 72 x^{11} + 432 x^{10} - 336 x^{9} + 1048 x^{8} - 704 x^{7} + 1576 x^{6} - 984 x^{5} + 1352 x^{4} - 440 x^{3} + 808 x^{2} - 736 x + 721$ $2^{58}\cdot 17^{4}$ $C_2^5:C_4$ (as 16T227) $[4]$ $21219.85302903684$
16.0.986...000.1 $x^{16} - 31 x^{12} + 401 x^{8} - 2511 x^{4} + 6561$ $2^{8}\cdot 5^{12}\cdot 19^{4}\cdot 59^{4}$ $C_2^5:C_4$ (as 16T227) $[4]$ $89998.84874421437$
16.8.121...576.36 $x^{16} - 16 x^{14} + 92 x^{12} - 208 x^{10} + 150 x^{8} - 432 x^{6} + 1788 x^{4} - 1648 x^{2} + 49$ $2^{64}\cdot 3^{8}$ $C_2^5:C_4$ (as 16T227) trivial $998891.6390557023$
16.0.121...576.97 $x^{16} + 16 x^{14} + 92 x^{12} + 208 x^{10} + 150 x^{8} + 432 x^{6} + 1788 x^{4} + 1648 x^{2} + 49$ $2^{64}\cdot 3^{8}$ $C_2^5:C_4$ (as 16T227) $[2]$ $97464.59011603185$
16.0.121...576.179 $x^{16} - 8 x^{14} + 68 x^{12} - 296 x^{10} + 690 x^{8} - 936 x^{6} + 1212 x^{4} - 1256 x^{2} + 529$ $2^{64}\cdot 3^{8}$ $C_2^5:C_4$ (as 16T227) $[2]$ $77795.8702455577$
16.0.121...576.182 $x^{16} + 8 x^{14} + 68 x^{12} + 296 x^{10} + 690 x^{8} + 936 x^{6} + 1212 x^{4} + 1256 x^{2} + 529$ $2^{64}\cdot 3^{8}$ $C_2^5:C_4$ (as 16T227) $[2]$ $62272.77853121733$
16.0.185...000.2 $x^{16} - 14 x^{14} + 91 x^{12} - 314 x^{10} + 581 x^{8} - 490 x^{6} + 1540 x^{4} - 200 x^{2} + 400$ $2^{28}\cdot 5^{12}\cdot 41^{4}$ $C_2^5:C_4$ (as 16T227) $[2, 4]$ $24741.672005248074$
16.0.335...000.1 $x^{16} + 9 x^{14} + 36 x^{12} + 24 x^{10} + 121 x^{8} - 390 x^{6} + 740 x^{4} - 600 x^{2} + 400$ $2^{12}\cdot 5^{12}\cdot 761^{4}$ $C_2^5:C_4$ (as 16T227) $[2, 4]$ $190497.265542$
16.8.484...304.39 $x^{16} - 16 x^{14} + 100 x^{12} - 304 x^{10} + 462 x^{8} - 368 x^{6} + 292 x^{4} - 272 x^{2} + 49$ $2^{66}\cdot 3^{8}$ $C_2^5:C_4$ (as 16T227) trivial $2472191.558184682$
16.0.484...304.91 $x^{16} + 16 x^{14} + 100 x^{12} + 304 x^{10} + 462 x^{8} + 368 x^{6} + 292 x^{4} + 272 x^{2} + 49$ $2^{66}\cdot 3^{8}$ $C_2^5:C_4$ (as 16T227) $[2]$ $186859.93139189246$
16.0.484...304.228 $x^{16} - 16 x^{14} + 100 x^{12} - 400 x^{10} + 1242 x^{8} - 1712 x^{6} + 1900 x^{4} - 1136 x^{2} + 529$ $2^{66}\cdot 3^{8}$ $C_2^5:C_4$ (as 16T227) $[2]$ $183327.10379822497$
16.0.484...304.230 $x^{16} + 16 x^{14} + 100 x^{12} + 400 x^{10} + 1242 x^{8} + 1712 x^{6} + 1900 x^{4} + 1136 x^{2} + 529$ $2^{66}\cdot 3^{8}$ $C_2^5:C_4$ (as 16T227) $[2]$ $125389.5012809583$
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