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Label Polynomial Discriminant Galois group Class group Regulator
16.14.158...000.1 $x^{16} - 4 x^{15} - 12 x^{14} + 70 x^{13} - 25 x^{12} - 262 x^{11} + 290 x^{10} + 326 x^{9} - 604 x^{8} - 50 x^{7} + 490 x^{6} - 146 x^{5} - 152 x^{4} + 76 x^{3} + 12 x^{2} - 10 x + 1$ $-\,2^{24}\cdot 3^{8}\cdot 5^{12}\cdot 59$ $C_2\wr (C_2\times C_4)$ (as 16T1379) trivial $113419.378265$
16.14.236...528.1 $x^{16} - 4 x^{15} - 8 x^{14} + 48 x^{13} + 4 x^{12} - 208 x^{11} + 106 x^{10} + 400 x^{9} - 290 x^{8} - 348 x^{7} + 202 x^{6} + 192 x^{5} + 33 x^{4} - 152 x^{3} - 2 x^{2} + 28 x - 1$ $-\,2^{32}\cdot 223^{5}$ $C_{2440}.D_6$ (as 16T1759) trivial $143953.377239$
16.14.285...375.1 $x^{16} - x^{15} - 13 x^{14} + 7 x^{13} + 79 x^{12} - 24 x^{11} - 271 x^{10} + 83 x^{9} + 503 x^{8} - 192 x^{7} - 472 x^{6} + 211 x^{5} + 201 x^{4} - 101 x^{3} - 27 x^{2} + 16 x - 1$ $-\,5^{8}\cdot 19^{2}\cdot 29^{4}\cdot 31^{5}$ $C_4^4.C_2\wr D_4$ (as 16T1823) trivial $154117.78401$
16.14.405...875.1 $x^{16} - 2 x^{15} - 17 x^{14} + 23 x^{13} + 112 x^{12} - 86 x^{11} - 375 x^{10} + 127 x^{9} + 675 x^{8} - 62 x^{7} - 640 x^{6} + 3 x^{5} + 293 x^{4} - 8 x^{3} - 50 x^{2} + 4 x + 1$ $-\,5^{8}\cdot 29^{4}\cdot 379\cdot 6221^{2}$ $C_4^4.C_2\wr D_4$ (as 16T1823) trivial $202570.10593$
16.14.481...000.1 $x^{16} - 6 x^{15} - 2 x^{14} + 76 x^{13} - 118 x^{12} - 194 x^{11} + 618 x^{10} - 346 x^{9} - 266 x^{8} + 350 x^{7} - 216 x^{6} + 62 x^{5} + 123 x^{4} - 70 x^{3} - 20 x^{2} + 8 x + 1$ $-\,2^{24}\cdot 3^{8}\cdot 5^{12}\cdot 179$ $C_2\wr (C_2\times C_4)$ (as 16T1379) trivial $205339.151919$
16.14.522...016.1 $x^{16} - 10 x^{14} + 35 x^{12} - 40 x^{10} - 39 x^{8} + 128 x^{6} - 93 x^{4} + 18 x^{2} - 1$ $-\,2^{40}\cdot 41^{6}$ $C_2\wr D_4.C_4$ (as 16T1722) trivial $218456.314308$
16.14.522...016.2 $x^{16} - 12 x^{14} + 56 x^{12} - 126 x^{10} + 132 x^{8} - 36 x^{6} - 33 x^{4} + 18 x^{2} - 1$ $-\,2^{40}\cdot 41^{6}$ $C_2\wr D_4.C_4$ (as 16T1722) trivial $214462.903543$
16.14.841...000.1 $x^{16} - 7 x^{14} - 24 x^{12} + 314 x^{10} - 951 x^{8} + 1292 x^{6} - 856 x^{4} + 261 x^{2} - 29$ $-\,2^{8}\cdot 3^{8}\cdot 5^{12}\cdot 29^{5}$ $C_2^2\wr C_2^2.C_4$ (as 16T1616) trivial $298908.305563$
16.14.110...944.1 $x^{16} - 11 x^{14} + 37 x^{12} - 38 x^{10} - 25 x^{8} + 70 x^{6} - 46 x^{4} + 12 x^{2} - 1$ $-\,2^{16}\cdot 17^{14}$ $C_2\wr C_8$ (as 16T1351) trivial $324330.664382$
16.14.122...000.1 $x^{16} - 10 x^{14} + 33 x^{12} - 28 x^{10} - 63 x^{8} + 148 x^{6} - 105 x^{4} + 26 x^{2} - 1$ $-\,2^{40}\cdot 5^{8}\cdot 13^{4}$ $C_2\wr D_4.C_2$ (as 16T1577) trivial $348265.291265$
16.14.122...000.2 $x^{16} - 10 x^{14} + 35 x^{12} - 40 x^{10} - 41 x^{8} + 140 x^{6} - 115 x^{4} + 30 x^{2} - 1$ $-\,2^{40}\cdot 5^{8}\cdot 13^{4}$ $C_2\wr D_4.C_2$ (as 16T1577) trivial $338685.422465$
16.14.128...000.1 $x^{16} - 7 x^{14} + 5 x^{12} + 70 x^{10} - 221 x^{8} + 264 x^{6} - 138 x^{4} + 28 x^{2} - 1$ $-\,2^{16}\cdot 5^{8}\cdot 29^{8}$ $C_2\wr D_4$ (as 16T1461) trivial $361485.883211$
16.14.153...624.1 $x^{16} - 10 x^{14} + 28 x^{12} - x^{10} - 96 x^{8} + 133 x^{6} - 67 x^{4} + 14 x^{2} - 1$ $-\,2^{16}\cdot 483345053^{2}$ $C_2^8.S_8$ (as 16T1948) trivial $399655.829246$
16.14.153...624.2 $x^{16} - 11 x^{14} + 40 x^{12} - 42 x^{10} - 56 x^{8} + 153 x^{6} - 105 x^{4} + 20 x^{2} - 1$ $-\,2^{16}\cdot 483345053^{2}$ $C_2^8.S_8$ (as 16T1948) trivial $377563.050839$
16.14.272...456.1 $x^{16} - 10 x^{14} + 26 x^{12} + 26 x^{10} - 211 x^{8} + 330 x^{6} - 208 x^{4} + 48 x^{2} - 1$ $-\,2^{16}\cdot 3^{4}\cdot 8461^{4}$ $C_2\wr C_2^3.S_4$ (as 16T1848) trivial $809238.806259$
16.14.286...000.1 $x^{16} - 13 x^{14} + 62 x^{12} - 134 x^{10} + 120 x^{8} + x^{6} - 62 x^{4} + 25 x^{2} - 1$ $-\,2^{16}\cdot 5^{8}\cdot 439^{2}\cdot 2411^{2}$ $C_2^6.S_4^2:D_4$ (as 16T1905) trivial $556230.228859$
16.14.286...000.2 $x^{16} - 12 x^{14} + 46 x^{12} - 54 x^{10} - 25 x^{8} + 89 x^{6} - 56 x^{4} + 13 x^{2} - 1$ $-\,2^{16}\cdot 5^{8}\cdot 439^{2}\cdot 2411^{2}$ $C_2^6.S_4^2:D_4$ (as 16T1905) trivial $554855.854151$
16.14.288...896.1 $x^{16} - 15 x^{14} + 74 x^{12} - 154 x^{10} + 118 x^{8} + 26 x^{6} - 77 x^{4} + 32 x^{2} - 4$ $-\,2^{18}\cdot 43^{2}\cdot 2777^{4}$ $C_4^4.C_2\wr S_4$ (as 16T1879) trivial $951577.515771$
16.14.326...152.1 $x^{16} - 8 x^{15} + 18 x^{14} + 14 x^{13} - 104 x^{12} + 78 x^{11} + 166 x^{10} - 258 x^{9} - 37 x^{8} + 266 x^{7} - 119 x^{6} - 95 x^{5} + 93 x^{4} + 3 x^{3} - 19 x^{2} + x + 1$ $-\,2^{4}\cdot 43^{2}\cdot 2777^{4}\cdot 18583$ $C_4^4.C_2\wr S_4$ (as 16T1879) trivial $714859.145567$
16.14.506...827.1 $x^{16} - 2 x^{15} - 14 x^{14} + 15 x^{13} + 104 x^{12} - 35 x^{11} - 420 x^{10} - 45 x^{9} + 899 x^{8} + 376 x^{7} - 925 x^{6} - 658 x^{5} + 280 x^{4} + 377 x^{3} + 109 x^{2} + 6 x - 1$ $-\,17^{14}\cdot 67^{3}$ $C_2\wr C_8$ (as 16T1351) trivial $770386.28352$
16.14.109...875.1 $x^{16} - 8 x^{15} + 17 x^{14} + 21 x^{13} - 117 x^{12} + 65 x^{11} + 226 x^{10} - 272 x^{9} - 137 x^{8} + 321 x^{7} - 36 x^{6} - 152 x^{5} + 63 x^{4} + 27 x^{3} - 17 x^{2} - 2 x + 1$ $-\,3^{12}\cdot 5^{12}\cdot 31\cdot 149^{2}\cdot 1229$ $C_4^4.C_2\wr C_4$ (as 16T1771) trivial $1149549.14733$
16.14.110...000.1 $x^{16} - x^{15} - 21 x^{14} + 30 x^{13} + 161 x^{12} - 296 x^{11} - 504 x^{10} + 1221 x^{9} + 409 x^{8} - 2037 x^{7} + 487 x^{6} + 1223 x^{5} - 639 x^{4} - 177 x^{3} + 167 x^{2} - 24 x - 1$ $-\,2^{8}\cdot 5^{10}\cdot 29^{4}\cdot 89^{4}$ $C_2^2.C_2^2\wr D_4$ (as 16T1719) trivial $1192067.44429$
16.14.112...856.1 $x^{16} - 5 x^{14} - 14 x^{12} + 128 x^{10} - 277 x^{8} + 256 x^{6} - 108 x^{4} + 19 x^{2} - 1$ $-\,2^{20}\cdot 18097^{4}$ $C_2\wr C_2^3.S_4$ (as 16T1848) trivial $1432171.45682$
16.14.130...344.1 $x^{16} - 12 x^{14} + 50 x^{12} - 80 x^{10} + 13 x^{8} + 88 x^{6} - 78 x^{4} + 20 x^{2} - 1$ $-\,2^{60}\cdot 337^{2}$ $C_4^4.C_2\wr C_4$ (as 16T1771) trivial $1412031.2336$
16.14.143...224.1 $x^{16} - 12 x^{14} + 50 x^{12} - 72 x^{10} - 55 x^{8} + 276 x^{6} - 284 x^{4} + 96 x^{2} - 1$ $-\,2^{36}\cdot 113^{6}$ $C_2\wr D_8$ (as 16T1638) trivial $1982430.73391$
16.14.143...224.2 $x^{16} - 14 x^{14} + 71 x^{12} - 154 x^{10} + 112 x^{8} + 54 x^{6} - 87 x^{4} + 22 x^{2} - 1$ $-\,2^{36}\cdot 113^{6}$ $C_2\wr D_8$ (as 16T1638) trivial $2034623.51681$
16.14.170...375.1 $x^{16} - 2 x^{15} - 19 x^{14} + 26 x^{13} + 130 x^{12} - 67 x^{11} - 463 x^{10} - 207 x^{9} + 1033 x^{8} + 924 x^{7} - 1394 x^{6} - 803 x^{5} + 937 x^{4} + 5 x^{3} - 100 x^{2} + 19 x - 1$ $-\,5^{8}\cdot 19^{4}\cdot 31^{3}\cdot 103^{4}$ $C_{2440}.D_6$ (as 16T1759) trivial $1497538.20772$
16.14.204...000.1 $x^{16} - 16 x^{14} + 97 x^{12} - 268 x^{10} + 277 x^{8} + 152 x^{6} - 500 x^{4} + 272 x^{2} - 16$ $-\,2^{20}\cdot 5^{8}\cdot 29^{8}$ $C_2\wr D_4$ (as 16T1461) trivial $1518846.13172$
16.14.210...000.1 $x^{16} - x^{15} - 24 x^{14} + 46 x^{13} + 173 x^{12} - 506 x^{11} - 236 x^{10} + 1853 x^{9} - 1192 x^{8} - 1736 x^{7} + 2296 x^{6} - 177 x^{5} - 847 x^{4} + 373 x^{3} - 6 x^{2} - 17 x + 1$ $-\,2^{8}\cdot 3^{8}\cdot 5^{14}\cdot 29^{5}$ $C_2^2\wr C_2^2.C_4$ (as 16T1616) trivial $1622611.50407$
16.14.242...152.1 $x^{16} - 8 x^{14} + 12 x^{12} + 40 x^{10} - 150 x^{8} + 184 x^{6} - 100 x^{4} + 24 x^{2} - 2$ $-\,2^{65}\cdot 3^{8}$ $C_2\wr (C_2\times C_4)$ (as 16T1379) trivial $3018979.47410942$
16.14.242...152.2 $x^{16} - 16 x^{14} + 88 x^{12} - 216 x^{10} + 238 x^{8} - 80 x^{6} - 36 x^{4} + 24 x^{2} - 2$ $-\,2^{65}\cdot 3^{8}$ $C_2\wr (C_2\times C_4)$ (as 16T1379) trivial $2985472.6763313087$
16.14.248...000.1 $x^{16} - 14 x^{14} + 73 x^{12} - 180 x^{10} + 217 x^{8} - 112 x^{6} + 9 x^{4} + 6 x^{2} - 1$ $-\,2^{40}\cdot 5^{8}\cdot 761^{2}$ $C_4^4.C_2\wr C_2^2$ (as 16T1769) trivial $2017393.61315$
16.14.248...000.2 $x^{16} - 14 x^{14} + 55 x^{12} - 56 x^{10} - 87 x^{8} + 196 x^{6} - 103 x^{4} + 18 x^{2} - 1$ $-\,2^{40}\cdot 5^{8}\cdot 761^{2}$ $C_4^4.C_2\wr C_2^2$ (as 16T1769) trivial $2297888.613$
16.14.302...544.1 $x^{16} - 8 x^{14} + 4 x^{12} + 88 x^{10} - 254 x^{8} + 280 x^{6} - 132 x^{4} + 24 x^{2} - 1$ $-\,2^{78}$ $C_2\wr C_8$ (as 16T1351) trivial $3346536.971688263$
16.14.303...000.1 $x^{16} - 12 x^{14} + 40 x^{12} - 10 x^{10} - 126 x^{8} + 184 x^{6} - 93 x^{4} + 18 x^{2} - 1$ $-\,2^{40}\cdot 5^{8}\cdot 29^{4}$ $C_2^6.D_4^2$ (as 16T1590) trivial $1954065.77746$
16.14.303...000.2 $x^{16} - 10 x^{14} + 11 x^{12} + 104 x^{10} - 287 x^{8} + 272 x^{6} - 109 x^{4} + 18 x^{2} - 1$ $-\,2^{40}\cdot 5^{8}\cdot 29^{4}$ $C_2^6.D_4^2$ (as 16T1590) trivial $2055700.31792$
16.14.394...000.1 $x^{16} - 4 x^{15} - 6 x^{14} + 51 x^{13} - 73 x^{12} - 120 x^{11} + 632 x^{10} - 657 x^{9} - 978 x^{8} + 2624 x^{7} - 1454 x^{6} - 1075 x^{5} + 1804 x^{4} - 959 x^{3} + 238 x^{2} - 26 x + 1$ $-\,2^{8}\cdot 5^{8}\cdot 29^{4}\cdot 89^{5}$ $C_2^2.C_2^2\wr D_4$ (as 16T1719) trivial $2213010.52456$
16.14.434...000.1 $x^{16} - 7 x^{14} - x^{12} + 117 x^{10} - 343 x^{8} + 384 x^{6} - 181 x^{4} + 30 x^{2} - 1$ $-\,2^{16}\cdot 5^{8}\cdot 13^{4}\cdot 29^{6}$ $C_2\wr D_4.D_4$ (as 16T1775) trivial $2674022.50951$
16.14.434...000.2 $x^{16} - 15 x^{14} + 84 x^{12} - 218 x^{10} + 258 x^{8} - 101 x^{6} - 26 x^{4} + 19 x^{2} - 1$ $-\,2^{16}\cdot 5^{8}\cdot 13^{4}\cdot 29^{6}$ $C_2\wr D_4.D_4$ (as 16T1775) trivial $2431843.45041$
16.14.585...000.1 $x^{16} - 4 x^{15} - 16 x^{14} + 74 x^{13} + 51 x^{12} - 454 x^{11} + 240 x^{10} + 1142 x^{9} - 1240 x^{8} - 868 x^{7} + 1356 x^{6} + 106 x^{5} - 513 x^{4} + 78 x^{3} + 60 x^{2} - 18 x + 1$ $-\,2^{28}\cdot 5^{8}\cdot 89^{5}$ $C_2^7.C_2\wr D_4$ (as 16T1778) trivial $4982985.40898$
16.14.585...000.2 $x^{16} - 18 x^{14} + 112 x^{12} - 244 x^{10} - 169 x^{8} + 1472 x^{6} - 2014 x^{4} + 890 x^{2} - 89$ $-\,2^{28}\cdot 5^{8}\cdot 89^{5}$ $C_2^7.C_2\wr D_4$ (as 16T1778) trivial $3528147.74875$
16.14.604...088.1 $x^{16} - 16 x^{14} + 96 x^{12} - 272 x^{10} + 376 x^{8} - 224 x^{6} + 24 x^{4} + 16 x^{2} - 2$ $-\,2^{79}$ $C_2\wr C_8$ (as 16T1351) trivial $5177779.094563729$
16.14.637...000.1 $x^{16} - 20 x^{14} + 120 x^{12} - 180 x^{10} - 610 x^{8} + 2260 x^{6} - 2280 x^{4} + 820 x^{2} - 95$ $-\,2^{40}\cdot 5^{15}\cdot 19$ $C_2\wr \OD_{16}$ (as 16T1604) trivial $4398095.22028$
16.14.637...000.2 $x^{16} - 20 x^{14} - 20 x^{13} + 140 x^{12} + 280 x^{11} - 280 x^{10} - 1220 x^{9} - 570 x^{8} + 1600 x^{7} + 1820 x^{6} - 340 x^{5} - 1220 x^{4} - 360 x^{3} + 120 x^{2} + 60 x + 5$ $-\,2^{40}\cdot 5^{15}\cdot 19$ $C_2\wr \OD_{16}$ (as 16T1604) trivial $4220912.57139$
16.14.715...000.1 $x^{16} - x^{15} - 21 x^{14} + 14 x^{13} + 153 x^{12} - 3 x^{11} - 561 x^{10} - 265 x^{9} + 964 x^{8} + 660 x^{7} - 753 x^{6} - 561 x^{5} + 227 x^{4} + 168 x^{3} - 12 x^{2} - 14 x - 1$ $-\,2^{4}\cdot 5^{9}\cdot 7^{8}\cdot 251^{4}$ $C_2\wr C_2^3.A_4$ (as 16T1806) trivial $4952270.5458$
16.14.734...776.1 $x^{16} - 6 x^{15} + 6 x^{14} + 38 x^{13} - 133 x^{12} + 54 x^{11} + 524 x^{10} - 688 x^{9} - 796 x^{8} + 1336 x^{7} + 514 x^{6} - 984 x^{5} - 146 x^{4} + 306 x^{3} + 12 x^{2} - 34 x + 1$ $-\,2^{24}\cdot 3\cdot 37\cdot 4457^{4}$ $C_2\wr C_2^3.\GL(3,2)$ (as 16T1916) trivial $6482255.28861$
16.14.734...776.2 $x^{16} - 22 x^{14} - 2 x^{13} + 190 x^{12} + 30 x^{11} - 834 x^{10} - 148 x^{9} + 2015 x^{8} + 278 x^{7} - 2670 x^{6} - 92 x^{5} + 1742 x^{4} - 194 x^{3} - 388 x^{2} + 94 x + 1$ $-\,2^{24}\cdot 3\cdot 37\cdot 4457^{4}$ $C_2\wr C_2^3.\GL(3,2)$ (as 16T1916) trivial $7012404.18887$
16.14.907...304.1 $x^{16} - 18 x^{14} + 115 x^{12} - 342 x^{10} + 505 x^{8} - 352 x^{6} + 88 x^{4} + 8 x^{2} - 4$ $-\,2^{46}\cdot 337^{4}$ $C_2^8.C_2\wr C_4$ (as 16T1776) trivial $7460311.75721$
16.14.101...000.1 $x^{16} - 2 x^{15} - 21 x^{14} + 27 x^{13} + 176 x^{12} - 130 x^{11} - 725 x^{10} + 325 x^{9} + 1615 x^{8} - 565 x^{7} - 2175 x^{6} + 485 x^{5} + 1620 x^{4} - 75 x^{3} - 425 x^{2} + 25 x + 25$ $-\,2^{8}\cdot 3^{8}\cdot 5^{13}\cdot 149^{4}$ $C_2^2\wr C_2^2.D_4$ (as 16T1726) trivial $6146231.92327$
16.14.101...000.2 $x^{16} - 23 x^{14} + 174 x^{12} - 477 x^{10} + 51 x^{8} + 1825 x^{6} - 2800 x^{4} + 1375 x^{2} - 125$ $-\,2^{8}\cdot 3^{8}\cdot 5^{13}\cdot 149^{4}$ $C_2^2\wr C_2^2.D_4$ (as 16T1726) trivial $4865549.11093$
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