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Label Polynomial Discriminant Galois group Class group Regulator
16.0.6634204312890625.1 $x^{16} - 7 x^{15} + 27 x^{14} - 73 x^{13} + 160 x^{12} - 304 x^{11} + 509 x^{10} - 730 x^{9} + 869 x^{8} - 839 x^{7} + 654 x^{6} - 416 x^{5} + 221 x^{4} - 98 x^{3} + 34 x^{2} - 8 x + 1$ $5^{8}\cdot 19^{8}$ $D_{8}$ (as 16T13) trivial $11.4915268613$
16.0.23045377697175681.1 $x^{16} - x^{15} + 11 x^{13} - 14 x^{12} + 6 x^{11} + 23 x^{10} - 44 x^{9} + 45 x^{8} - 44 x^{7} + 23 x^{6} + 6 x^{5} - 14 x^{4} + 11 x^{3} - x + 1$ $3^{8}\cdot 37^{8}$ $D_{8}$ (as 16T13) trivial $82.0564715035$
16.0.117033789351264256.1 $x^{16} - 8 x^{15} + 32 x^{14} - 82 x^{13} + 153 x^{12} - 226 x^{11} + 274 x^{10} - 254 x^{9} + 144 x^{8} - 16 x^{7} - 36 x^{6} + 26 x^{5} - 7 x^{4} + 2 x^{3} + 2 x^{2} - 2 x + 1$ $2^{24}\cdot 17^{8}$ $D_{8}$ (as 16T13) trivial $170.642238459$
16.0.288230376151711744.4 $x^{16} + 6 x^{8} + 1$ $2^{58}$ $D_{8}$ (as 16T13) trivial $677.722537993$
16.0.523300059815673856.1 $x^{16} + 7 x^{14} + 17 x^{12} - 2 x^{10} - 30 x^{8} - 2 x^{6} + 17 x^{4} + 7 x^{2} + 1$ $2^{16}\cdot 41^{8}$ $D_{8}$ (as 16T13) trivial $552.250267653$
16.0.125...641.1 $x^{16} + 2 x^{14} - 14 x^{13} - 6 x^{12} - 21 x^{11} + 45 x^{10} + 43 x^{9} + 120 x^{8} + 96 x^{7} + 142 x^{6} + 99 x^{5} + 101 x^{4} + 58 x^{3} + 61 x^{2} + 5 x + 25$ $3^{8}\cdot 61^{8}$ $D_{8}$ (as 16T13) trivial $809.594531745$
16.0.113...384.2 $x^{16} + 2 x^{14} - 21 x^{12} - 14 x^{10} + 217 x^{8} - 308 x^{6} + 168 x^{4} - 40 x^{2} + 4$ $2^{24}\cdot 7^{14}$ $D_{8}$ (as 16T13) trivial $3156.36633412$
16.0.113...384.3 $x^{16} + 2 x^{14} - 14 x^{10} + 49 x^{4} - 26 x^{2} + 4$ $2^{24}\cdot 7^{14}$ $D_{8}$ (as 16T13) trivial $1569.86019374$
16.0.143...256.1 $x^{16} - 2 x^{15} - x^{14} - 10 x^{13} + 33 x^{12} - 28 x^{11} + 22 x^{10} - 72 x^{9} + 218 x^{8} - 128 x^{7} + 126 x^{6} - 204 x^{5} + 137 x^{4} - 78 x^{3} + 63 x^{2} - 14 x + 1$ $2^{24}\cdot 31^{8}$ $D_{8}$ (as 16T13) $[3]$ $599.577705049$
16.0.184...616.3 $x^{16} - 8 x^{14} + 52 x^{12} - 168 x^{10} + 264 x^{8} - 168 x^{6} + 52 x^{4} - 8 x^{2} + 1$ $2^{64}$ $D_{8}$ (as 16T13) trivial $9919.13224445$
16.0.299...536.3 $x^{16} - 3 x^{12} + 64 x^{8} + 37 x^{4} + 1$ $2^{32}\cdot 17^{8}$ $D_{8}$ (as 16T13) trivial $3446.93143062$
16.0.435...625.3 $x^{16} - 7 x^{15} + 26 x^{14} - 74 x^{13} + 158 x^{12} - 246 x^{11} + 372 x^{10} - 634 x^{9} + 798 x^{8} - 656 x^{7} + 663 x^{6} - 741 x^{5} + 379 x^{4} + 10 x^{3} - 75 x^{2} + 50 x + 25$ $3^{8}\cdot 5^{8}\cdot 19^{8}$ $D_{8}$ (as 16T13) $[2]$ $2220.46808374$
16.0.444...625.1 $x^{16} - 7 x^{15} + 26 x^{14} - 62 x^{13} + 86 x^{12} - 71 x^{11} + 78 x^{10} - 126 x^{9} + 175 x^{8} - 126 x^{7} + 78 x^{6} - 71 x^{5} + 86 x^{4} - 62 x^{3} + 26 x^{2} - 7 x + 1$ $3^{12}\cdot 5^{8}\cdot 11^{8}$ $D_{8}$ (as 16T13) $[2]$ $1120.36474159$
16.0.444...625.3 $x^{16} - 3 x^{15} - x^{14} + 16 x^{13} - 28 x^{12} - 12 x^{11} + 98 x^{10} - 102 x^{9} - 62 x^{8} + 303 x^{7} - 203 x^{6} - 79 x^{5} + 414 x^{4} - 283 x^{3} + 181 x^{2} - 40 x + 25$ $3^{12}\cdot 5^{8}\cdot 11^{8}$ $D_{8}$ (as 16T13) $[2]$ $2497.48500982$
16.0.573...625.1 $x^{16} + 6 x^{14} - 7 x^{13} + 27 x^{12} - 43 x^{11} + 137 x^{10} - 155 x^{9} + 402 x^{8} - 413 x^{7} + 649 x^{6} - 349 x^{5} + 574 x^{4} + 206 x^{3} + 527 x^{2} + 546 x + 441$ $5^{8}\cdot 59^{8}$ $D_{8}$ (as 16T13) $[3]$ $859.305557763$
16.0.638...601.1 $x^{16} - 8 x^{15} + 26 x^{14} - 36 x^{13} + 38 x^{11} + 74 x^{10} - 280 x^{9} + 266 x^{8} - 100 x^{7} + 296 x^{6} - 702 x^{5} + 573 x^{4} + 72 x^{3} - 172 x^{2} + 16$ $13^{8}\cdot 23^{8}$ $D_{8}$ (as 16T13) $[3]$ $2823.55404905$
16.0.101...216.1 $x^{16} - 4 x^{15} + 4 x^{14} + 20 x^{13} - 38 x^{12} + 4 x^{11} + 140 x^{10} - 116 x^{9} - 198 x^{8} + 116 x^{7} + 140 x^{6} - 4 x^{5} - 38 x^{4} - 20 x^{3} + 4 x^{2} + 4 x + 1$ $2^{44}\cdot 7^{8}$ $D_{8}$ (as 16T13) $[2]$ $3094.8131536$
16.0.101...216.5 $x^{16} - 4 x^{15} + 8 x^{14} - 8 x^{13} + 16 x^{12} - 56 x^{11} + 156 x^{10} - 376 x^{9} + 643 x^{8} - 796 x^{7} + 944 x^{6} - 912 x^{5} + 486 x^{4} - 216 x^{3} + 156 x^{2} + 14$ $2^{44}\cdot 7^{8}$ $D_{8}$ (as 16T13) $[2]$ $6996.45481194$
16.0.109...000.9 $x^{16} - 4 x^{14} - 4 x^{12} + 32 x^{10} + 99 x^{8} + 96 x^{6} + 44 x^{4} - 20 x^{2} + 25$ $2^{48}\cdot 5^{8}$ $D_{8}$ (as 16T13) trivial $4648.44617215$
16.0.109...000.10 $x^{16} - 4 x^{14} + 20 x^{12} + 35 x^{8} - 64 x^{6} + 36 x^{4} + 60 x^{2} + 25$ $2^{48}\cdot 5^{8}$ $D_{8}$ (as 16T13) trivial $17780.6827043$
16.0.145...969.1 $x^{16} - 3 x^{15} + 6 x^{14} - 21 x^{13} + 28 x^{12} + 77 x^{11} - 224 x^{10} + 25 x^{9} + 548 x^{8} - 809 x^{7} + 434 x^{6} - 91 x^{5} + 189 x^{4} - 308 x^{3} + 244 x^{2} - 144 x + 64$ $7^{14}\cdot 11^{8}$ $D_{8}$ (as 16T13) trivial $13134.7691742$
16.0.358...161.1 $x^{16} - 4 x^{15} + 12 x^{14} - 36 x^{13} + 66 x^{12} - 44 x^{11} + 18 x^{10} + 102 x^{9} - 104 x^{8} + 180 x^{7} - 266 x^{6} + 92 x^{5} + 413 x^{4} - 826 x^{3} + 732 x^{2} - 336 x + 64$ $7^{8}\cdot 53^{8}$ $D_{8}$ (as 16T13) trivial $21725.25355$
16.0.399...376.1 $x^{16} - 2 x^{15} + 11 x^{14} - 26 x^{13} + 81 x^{12} - 160 x^{11} + 334 x^{10} - 532 x^{9} + 834 x^{8} - 932 x^{7} + 1142 x^{6} - 848 x^{5} - 119 x^{4} + 630 x^{3} - 189 x^{2} - 162 x + 81$ $2^{24}\cdot 47^{8}$ $D_{8}$ (as 16T13) $[5]$ $3314.20332109$
16.0.434...000.3 $x^{16} + x^{14} - 4 x^{12} - 18 x^{10} + 14 x^{8} + 61 x^{6} + 244 x^{4} - 20 x^{2} + 25$ $2^{16}\cdot 5^{8}\cdot 19^{8}$ $D_{8}$ (as 16T13) $[2]$ $2556.94695877$
16.0.592...625.1 $x^{16} + 2 x^{14} - 10 x^{13} + 7 x^{12} + 97 x^{10} + 388 x^{8} - 280 x^{7} + 881 x^{6} - 1030 x^{5} + 1488 x^{4} - 1080 x^{3} + 624 x^{2} - 320 x + 256$ $5^{8}\cdot 79^{8}$ $D_{8}$ (as 16T13) $[5]$ $5928.11603186$
16.0.642...801.1 $x^{16} - 2 x^{15} + 12 x^{14} - 46 x^{13} + 172 x^{12} - 387 x^{11} + 625 x^{10} - 636 x^{9} + 444 x^{8} - 362 x^{7} + 367 x^{6} - 294 x^{5} + 163 x^{4} - 78 x^{3} + 57 x^{2} - 36 x + 9$ $3^{8}\cdot 7^{8}\cdot 19^{8}$ $D_{8}$ (as 16T13) $[2]$ $11785.8542869$
16.0.642...801.3 $x^{16} - 4 x^{15} + 18 x^{14} - 53 x^{13} + 131 x^{12} - 306 x^{11} + 614 x^{10} - 1160 x^{9} + 2220 x^{8} - 4198 x^{7} + 7075 x^{6} - 9966 x^{5} + 11478 x^{4} - 10161 x^{3} + 6507 x^{2} - 2916 x + 729$ $3^{8}\cdot 7^{8}\cdot 19^{8}$ $D_{8}$ (as 16T13) $[2]$ $106358.98777$
16.0.752...401.1 $x^{16} - 8 x^{15} + 14 x^{14} + 42 x^{13} - 163 x^{12} + 68 x^{11} + 358 x^{10} - 459 x^{9} + 3 x^{8} + 58 x^{7} + 583 x^{6} - 1006 x^{5} + 960 x^{4} - 715 x^{3} + 143 x^{2} + 121 x + 121$ $11^{8}\cdot 37^{8}$ $D_{8}$ (as 16T13) $[2]$ $5099.43681828$
16.0.767...616.4 $x^{16} - 6 x^{13} + 9 x^{12} - 54 x^{11} + 18 x^{10} + 126 x^{9} - 196 x^{8} + 444 x^{7} + 540 x^{6} - 3762 x^{5} + 7785 x^{4} - 8262 x^{3} + 5202 x^{2} - 1734 x + 289$ $2^{24}\cdot 3^{8}\cdot 17^{8}$ $D_{8}$ (as 16T13) $[2]$ $12529.3021665$
16.0.130...625.2 $x^{16} - x^{15} + 7 x^{14} + 20 x^{12} - 4 x^{11} + 111 x^{10} - 245 x^{9} + 484 x^{8} - 445 x^{7} + 474 x^{6} + 163 x^{5} - 175 x^{4} + 58 x^{2} - 8 x + 1$ $3^{8}\cdot 5^{12}\cdot 13^{8}$ $D_{8}$ (as 16T13) $[4]$ $10354.9857003$
16.0.130...625.5 $x^{16} - x^{14} + 56 x^{10} + 274 x^{8} + 651 x^{6} + 945 x^{4} + 594 x^{2} + 81$ $3^{8}\cdot 5^{12}\cdot 13^{8}$ $D_{8}$ (as 16T13) $[4]$ $81230.9904901$
16.0.151...016.1 $x^{16} - 3 x^{14} + 18 x^{12} - 56 x^{10} + 141 x^{8} - 324 x^{6} + 406 x^{4} - 111 x^{2} + 9$ $2^{16}\cdot 3^{8}\cdot 37^{8}$ $D_{8}$ (as 16T13) $[2]$ $176569.731752$
16.0.173...625.2 $x^{16} - 2 x^{15} + 2 x^{14} + 21 x^{13} - 14 x^{12} - 28 x^{11} + 112 x^{10} + 47 x^{9} - 38 x^{8} + 192 x^{7} + 119 x^{6} + 7 x^{5} - 35 x^{4} - 21 x^{3} + 177 x^{2} + 108 x + 81$ $3^{8}\cdot 5^{8}\cdot 7^{14}$ $D_{8}$ (as 16T13) $[2]$ $63368.9368668$
16.0.173...625.3 $x^{16} - 13 x^{14} + 84 x^{12} - 329 x^{10} + 819 x^{8} - 1288 x^{6} + 1246 x^{4} - 720 x^{2} + 225$ $3^{8}\cdot 5^{8}\cdot 7^{14}$ $D_{8}$ (as 16T13) $[2]$ $20727.8076222$
16.0.174...056.1 $x^{16} - 4 x^{15} + 8 x^{14} - 34 x^{13} + 36 x^{12} + 32 x^{11} + 162 x^{10} - 112 x^{9} - 16 x^{8} - 310 x^{7} - 144 x^{6} + 44 x^{5} + 265 x^{4} + 120 x^{3} + 32 x^{2} + 16 x + 4$ $2^{16}\cdot 113^{8}$ $D_{8}$ (as 16T13) trivial $45023.51136$
16.0.189...384.2 $x^{16} + 72 x^{12} + 80 x^{10} + 366 x^{8} + 288 x^{6} + 88 x^{4} - 48 x^{2} + 9$ $2^{58}\cdot 3^{8}$ $D_{8}$ (as 16T13) $[2]$ $9999.28859963$
16.0.189...384.4 $x^{16} + 72 x^{12} - 80 x^{10} + 366 x^{8} - 288 x^{6} + 88 x^{4} + 48 x^{2} + 9$ $2^{58}\cdot 3^{8}$ $D_{8}$ (as 16T13) $[2]$ $114037.664959$
16.0.189...384.8 $x^{16} + 486 x^{8} + 6561$ $2^{58}\cdot 3^{8}$ $D_{8}$ (as 16T13) $[2]$ $40311.1673168$
16.0.242...961.1 $x^{16} - 2 x^{15} + 15 x^{14} - 37 x^{13} + 107 x^{12} - 261 x^{11} + 518 x^{10} - 934 x^{9} + 1884 x^{8} - 2843 x^{7} + 4132 x^{6} - 6093 x^{5} + 6762 x^{4} - 6354 x^{3} + 5616 x^{2} - 3159 x + 729$ $3^{8}\cdot 157^{8}$ $D_{8}$ (as 16T13) $[2]$ $219939.617486$
16.0.291...304.3 $x^{16} + 21 x^{12} + 112 x^{8} - 147 x^{4} + 49$ $2^{32}\cdot 7^{14}$ $D_{8}$ (as 16T13) trivial $64057.2596637$
16.0.291...304.4 $x^{16} + 4 x^{14} - 14 x^{12} + 56 x^{10} + 21 x^{8} - 84 x^{6} + 280 x^{4} + 312 x^{2} + 100$ $2^{32}\cdot 7^{14}$ $D_{8}$ (as 16T13) $[2, 2]$ $35518.9517995$
16.0.343...216.3 $x^{16} + 9 x^{14} + 38 x^{12} + 74 x^{10} + 21 x^{8} + 173 x^{6} + 1092 x^{4} + 1664 x^{2} + 1024$ $2^{16}\cdot 3^{8}\cdot 41^{8}$ $D_{8}$ (as 16T13) $[2]$ $1544053.97216$
16.0.366...536.1 $x^{16} + 6 x^{14} + 56 x^{12} - 70 x^{10} + 270 x^{8} - 70 x^{6} + 56 x^{4} + 6 x^{2} + 1$ $2^{32}\cdot 31^{8}$ $D_{8}$ (as 16T13) $[6]$ $28884.3355905$
16.0.422...625.4 $x^{16} - 2 x^{15} + 13 x^{14} - 25 x^{13} + 89 x^{12} - 129 x^{11} + 282 x^{10} - 436 x^{9} + 449 x^{8} - 735 x^{7} + 199 x^{6} - 100 x^{5} + 365 x^{4} + 1275 x^{3} - 275 x^{2} + 125 x + 625$ $5^{8}\cdot 101^{8}$ $D_{8}$ (as 16T13) trivial $51535.6216372$
16.0.953...321.1 $x^{16} - 2 x^{15} - 5 x^{14} + 21 x^{13} + 27 x^{12} - 59 x^{11} - 10 x^{10} - 92 x^{9} + 552 x^{8} + 843 x^{7} - 1950 x^{6} - 3761 x^{5} + 64 x^{4} + 3822 x^{3} + 5642 x^{2} + 3549 x + 1521$ $13^{8}\cdot 43^{8}$ $D_{8}$ (as 16T13) $[2]$ $26474.6238892$
16.0.133...041.1 $x^{16} - 2 x^{15} - 5 x^{14} + 17 x^{13} - 17 x^{12} - 18 x^{11} + 165 x^{10} - 312 x^{9} - 532 x^{8} + 1736 x^{7} + 809 x^{6} - 3224 x^{5} + 1091 x^{4} - 168 x^{3} - 7551 x^{2} + 810 x + 18225$ $11^{8}\cdot 53^{8}$ $D_{8}$ (as 16T13) trivial $44918.3429831$
16.0.302...144.96 $x^{16} + 8 x^{14} + 36 x^{12} + 128 x^{10} + 418 x^{8} + 1632 x^{6} + 2808 x^{4} - 864 x^{2} + 324$ $2^{62}\cdot 3^{8}$ $D_{8}$ (as 16T13) trivial $2318655.7878988846$
16.0.302...144.101 $x^{16} - 8 x^{14} + 36 x^{12} - 128 x^{10} + 418 x^{8} - 1632 x^{6} + 2808 x^{4} + 864 x^{2} + 324$ $2^{62}\cdot 3^{8}$ $D_{8}$ (as 16T13) trivial $200959.74917378288$
16.0.507...281.4 $x^{16} + 2 x^{14} + 53 x^{12} + 354 x^{10} + 1160 x^{8} + 1833 x^{6} + 2729 x^{4} + 2678 x^{2} + 8281$ $13^{8}\cdot 53^{8}$ $D_{8}$ (as 16T13) trivial $82825.5955779$
16.0.531...569.1 $x^{16} + 9 x^{14} + 7 x^{12} - 238 x^{10} - 1113 x^{8} + 462 x^{6} + 12222 x^{4} + 24684 x^{2} + 14641$ $7^{14}\cdot 23^{8}$ $D_{8}$ (as 16T13) $[3]$ $24713.1006295$
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