Number field search results

Note: Search results may be incomplete. Given $p$-adic completions contain an unramified field and completions are only searched for ramified primes.

Results (1-50 of 263 matches)

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Label	Polynomial	Degree	Signature	Discriminant	Ram. prime count	Root discriminant	Galois root discriminant	CM field	Galois	Monogenic	Galois group	Class group	Narrow class group	Unit group torsion	Unit group rank	Regulator	Unit signature rank	Max $p$
16.2.183992172742975744.1	$x^{16} + x^{14} + 3 x^{12} - 8 x^{10} + x^{8} + 14 x^{6} - 4 x^{2} - 1$	$16$	(2, 7)	$-\,2^{8}\cdot 7^{2}\cdot 19^{4}\cdot 103^{4}$	$4$	$11.9963729599$	$429.31461643061976$			?	$C_4^4.C_2\wr S_4$ (as 16T1879)	trivial	trivial	$2$	$8$	$121.328701657$	$2$	$103$
16.4.128...208.1	$x^{16} - x^{15} - 7 x^{14} + 13 x^{13} + 10 x^{12} - 49 x^{11} + 30 x^{10} + 57 x^{9} - 93 x^{8} + 10 x^{7} + 81 x^{6} - 70 x^{5} + 13 x^{4} + 13 x^{3} - 10 x^{2} + 4 x - 1$	$16$	(4, 6)	$2^{8}\cdot 7^{3}\cdot 19^{4}\cdot 103^{4}$	$4$	$13.5477940736$	$698.3130926803212$			?	$C_4^4.C_2\wr S_4$ (as 16T1879)	trivial	trivial	$2$	$9$	$470.095494084$	$4$	$103$
16.4.349...136.1	$x^{16} - 5 x^{14} + 7 x^{12} - 13 x^{10} + 60 x^{8} - 127 x^{6} + 135 x^{4} - 76 x^{2} + 19$	$16$	(4, 6)	$2^{8}\cdot 7^{2}\cdot 19^{5}\cdot 103^{4}$	$4$	$14.4202257483$	$896.322038678088$			?	$C_4^4.C_2\wr S_4$ (as 16T1879)	trivial	trivial	$2$	$9$	$703.93359665$	$4$	$103$
16.0.349...136.1	$x^{16} - x^{15} + 4 x^{14} - 7 x^{13} + 17 x^{12} - 21 x^{11} + 32 x^{10} - 43 x^{9} + 52 x^{8} - 43 x^{7} + 32 x^{6} - 21 x^{5} + 17 x^{4} - 7 x^{3} + 4 x^{2} - x + 1$	$16$	(0, 8)	$2^{8}\cdot 7^{2}\cdot 19^{5}\cdot 103^{4}$	$4$	$14.4202257483$	$896.322038678088$			?	$C_4^4.C_2\wr S_4$ (as 16T1879)	trivial	trivial	$2$	$7$	$350.624933162$	$0$	$103$
16.6.672...352.1	$x^{16} - 4 x^{14} - 10 x^{13} - 9 x^{12} + 4 x^{11} + 7 x^{10} + 16 x^{9} + 4 x^{8} - 4 x^{6} - 32 x^{5} + 29 x^{4} + 10 x^{3} - 20 x^{2} + 8 x - 1$	$16$	(6, 5)	$-\,2^{16}\cdot 7\cdot 19^{4}\cdot 103^{4}$	$4$	$15.0226424064$				?	$C_4^4.C_2\wr S_4$ (as 16T1879)	trivial	trivial	$2$	$10$	$1812.28284803$	$6$	$103$
16.10.329...248.1	$x^{16} - 12 x^{13} - 11 x^{12} + 44 x^{11} - 3 x^{10} - 90 x^{9} + 18 x^{8} + 146 x^{7} + 141 x^{6} - 14 x^{5} - 151 x^{4} - 68 x^{3} + 25 x^{2} + 16 x + 1$	$16$	(10, 3)	$-\,2^{16}\cdot 7^{3}\cdot 19^{4}\cdot 103^{4}$	$4$	$19.1594741191$	$698.3130926803212$			?	$C_4^4.C_2\wr S_4$ (as 16T1879)	trivial	$[2]$	$2$	$12$	$26938.3958109$	$9$	$103$
16.12.169...569.1	$x^{16} - 3 x^{15} - 11 x^{14} + 45 x^{13} + 14 x^{12} - 203 x^{11} + 124 x^{10} + 359 x^{9} - 413 x^{8} - 224 x^{7} + 463 x^{6} - 20 x^{5} - 205 x^{4} + 56 x^{3} + 26 x^{2} - 11 x + 1$	$16$	(12, 2)	$7^{2}\cdot 277^{8}$	$2$	$21.2264388815$	$112.42654540419686$			?	$C_2^4.\SL(2,3)$ (as 16T732)	trivial	trivial	$2$	$13$	$80186.3216834$	$12$	$277$
16.4.195...129.1	$x^{16} + 5 x^{14} - 9 x^{13} + 22 x^{12} - 30 x^{11} - 74 x^{10} + 47 x^{9} + 39 x^{8} - 80 x^{7} - 296 x^{6} - 504 x^{5} - 446 x^{4} - 163 x^{3} - 84 x^{2} - 68 x + 1$	$16$	(4, 6)	$3^{2}\cdot 7^{2}\cdot 89\cdot 163^{8}$	$4$	$24.7290873981$	$1290.019832066222$			?	$C_4^4.C_2\wr A_4$ (as 16T1845)	trivial	$[2]$	$2$	$9$	$78896.6976865$	$3$	$163$
16.0.195...129.1	$x^{16} - 2 x^{15} + 2 x^{14} - 12 x^{13} + 50 x^{12} - 80 x^{11} + 75 x^{10} - 279 x^{9} + 871 x^{8} - 1145 x^{7} + 453 x^{6} + 863 x^{5} - 800 x^{4} - 166 x^{3} + 603 x^{2} + 40 x + 43$	$16$	(0, 8)	$3^{2}\cdot 7^{2}\cdot 89\cdot 163^{8}$	$4$	$24.7290873981$	$1290.019832066222$			?	$C_4^4.C_2\wr A_4$ (as 16T1845)	$[2]$	$[2]$	$2$	$7$	$22979.2222343$	$0$	$163$
16.8.258...000.1	$x^{16} - 8 x^{14} - 2 x^{13} + 5 x^{12} - 14 x^{11} + 2 x^{10} + 4 x^{9} - 25 x^{8} + 4 x^{7} + 2 x^{6} - 14 x^{5} + 5 x^{4} - 2 x^{3} - 8 x^{2} + 1$	$16$	(8, 4)	$2^{16}\cdot 5^{8}\cdot 7^{2}\cdot 379^{4}$	$4$	$25.1658761712$				?	$C_2^7.A_4\wr C_2$ (as 16T1824)	trivial	$[2, 2]$	$2$	$11$	$235248.239645$	$6$	$379$
16.8.258...000.2	$x^{16} - 4 x^{15} - 10 x^{14} + 72 x^{13} - 58 x^{12} - 328 x^{11} + 756 x^{10} + 58 x^{9} - 1997 x^{8} + 2164 x^{7} + 686 x^{6} - 2898 x^{5} + 1926 x^{4} - 208 x^{3} - 204 x^{2} + 44 x - 4$	$16$	(8, 4)	$2^{16}\cdot 5^{8}\cdot 7^{2}\cdot 379^{4}$	$4$	$25.1658761712$	$758.5028900682479$				$C_2^7.A_4\wr C_2$ (as 16T1824)	trivial	$[2, 2]$	$2$	$11$	$307970.530836$	$6$	$379$
16.0.347...896.1	$x^{16} - 8 x^{15} + 32 x^{14} - 76 x^{13} + 126 x^{12} - 172 x^{11} + 233 x^{10} - 231 x^{9} + 93 x^{8} + 47 x^{7} + 54 x^{6} + 61 x^{5} - 243 x^{4} + 36 x^{3} + 394 x^{2} + 216 x + 36$	$16$	(0, 8)	$2^{4}\cdot 7^{2}\cdot 89\cdot 163^{8}$	$4$	$25.6345342688$	$1489.5865946067784$			?	$C_4^4.C_2\wr A_4$ (as 16T1845)	$[2]$	$[2]$	$2$	$7$	$26613.9351117$	$0$	$163$
16.4.347...896.1	$x^{16} - 2 x^{15} + 5 x^{14} - 10 x^{13} - 11 x^{12} + 31 x^{11} - 71 x^{10} + 260 x^{9} - 261 x^{8} + 105 x^{7} - 247 x^{6} - 155 x^{5} - 3 x^{4} - 154 x^{3} - 27 x^{2} - 21 x - 7$	$16$	(4, 6)	$2^{4}\cdot 7^{2}\cdot 89\cdot 163^{8}$	$4$	$25.6345342688$	$1489.5865946067784$			?	$C_4^4.C_2\wr A_4$ (as 16T1845)	trivial	$[2]$	$2$	$9$	$179498.715769$	$3$	$163$
16.12.106...729.1	$x^{16} - 2 x^{15} - 17 x^{14} + 26 x^{13} + 113 x^{12} - 126 x^{11} - 364 x^{10} + 334 x^{9} + 624 x^{8} - 585 x^{7} - 682 x^{6} + 570 x^{5} + 492 x^{4} - 237 x^{3} - 184 x^{2} + 23 x + 19$	$16$	(12, 2)	$7^{2}\cdot 17^{4}\cdot 97^{4}\cdot 131^{4}$	$4$	$27.4954127061$	$2635.867759246603$			?	$C_2^7.A_8$ (as 16T1938)	trivial	$[2, 2]$	$2$	$13$	$1406142.53675$	$10$	$131$
16.6.248...783.1	$x^{16} - 4 x^{15} + 4 x^{14} + 6 x^{13} - 28 x^{12} + 62 x^{11} - 149 x^{10} + 215 x^{9} - 276 x^{8} - 482 x^{7} + 1619 x^{6} - 2235 x^{5} + 5374 x^{4} - 3835 x^{3} - 1515 x^{2} + 425 x - 289$	$16$	(6, 5)	$-\,3^{2}\cdot 7\cdot 89^{2}\cdot 163^{8}$	$4$	$28.988539639$	$1290.019832066222$			?	$C_4^4.C_2\wr A_4$ (as 16T1845)	trivial	$[2, 2]$	$2$	$10$	$957879.707894$	$4$	$163$
16.10.248...783.1	$x^{16} - 5 x^{15} - 7 x^{14} + 67 x^{13} - 31 x^{12} - 311 x^{11} + 408 x^{10} + 519 x^{9} - 1290 x^{8} + 122 x^{7} + 1493 x^{6} - 1028 x^{5} - 363 x^{4} + 518 x^{3} - 20 x^{2} - 75 x + 3$	$16$	(10, 3)	$-\,3^{2}\cdot 7\cdot 89^{2}\cdot 163^{8}$	$4$	$28.988539639$	$1290.019832066222$			?	$C_4^4.C_2\wr A_4$ (as 16T1845)	trivial	$[2, 2]$	$2$	$12$	$1644388.67781$	$8$	$163$
16.4.324...784.1	$x^{16} - 6 x^{15} + 18 x^{14} - 46 x^{13} + 65 x^{12} - 98 x^{11} + 206 x^{10} - 216 x^{9} + 480 x^{8} + 290 x^{7} - 680 x^{6} + 230 x^{5} + 895 x^{4} + 414 x^{3} + 44 x^{2} - 8 x - 1$	$16$	(4, 6)	$2^{24}\cdot 7^{2}\cdot 4457^{4}$	$3$	$29.4742597825$	$647.890450733772$				$C_2^4.C_2^6:\GL(3,2)$ (as 16T1902)	$[2]$	$[2, 2]$	$2$	$9$	$478956.166798$	$3$	$4457$
16.12.324...784.1	$x^{16} - 8 x^{15} + 18 x^{14} + 10 x^{13} - 87 x^{12} + 92 x^{11} + 18 x^{10} - 104 x^{9} + 129 x^{8} - 104 x^{7} + 18 x^{6} + 92 x^{5} - 87 x^{4} + 10 x^{3} + 18 x^{2} - 8 x + 1$	$16$	(12, 2)	$2^{24}\cdot 7^{2}\cdot 4457^{4}$	$3$	$29.4742597825$				?	$C_2^4.C_2^6:\GL(3,2)$ (as 16T1902)	trivial	$[2, 2]$	$2$	$13$	$2058009.22031$	$10$	$4457$
16.8.157...625.1	$x^{16} - x^{15} - 14 x^{14} + 14 x^{13} + 82 x^{12} - 77 x^{11} - 257 x^{10} + 206 x^{9} + 481 x^{8} - 273 x^{7} - 739 x^{6} + 335 x^{5} + 1236 x^{4} - 829 x^{3} - 1205 x^{2} + 670 x + 521$	$16$	(8, 4)	$3^{2}\cdot 5^{12}\cdot 7^{2}\cdot 19^{4}\cdot 103^{4}$	$5$	$32.5388815901$	$677.8483815401083$			?	$(C_2^3\times C_4):S_4$ (as 16T1046)	trivial	$[2, 2]$	$2$	$11$	$1322820.99782$	$6$	$103$
16.10.740...408.1	$x^{16} - 18 x^{14} - 6 x^{13} + 43 x^{12} + 72 x^{11} + 337 x^{10} - 204 x^{9} - 1162 x^{8} - 660 x^{7} + 864 x^{6} + 2376 x^{5} - 1384 x^{4} + 1120 x^{3} - 320 x^{2} - 512 x + 192$	$16$	(10, 3)	$-\,2^{18}\cdot 3^{4}\cdot 7\cdot 163^{8}$	$4$	$41.3858127547$				?	$C_2^8.C_3^4.C_2\wr A_4$ (as 16T1941)	trivial	$[2, 2]$	$2$	$12$	$82668593.6034$	$8$	$163$
16.6.184...312.1	$x^{16} - 2 x^{15} + 2 x^{14} + 28 x^{13} - 179 x^{12} + 404 x^{11} - 624 x^{10} - 36 x^{9} + 3546 x^{8} - 6372 x^{7} + 10422 x^{6} - 7074 x^{5} - 18252 x^{4} + 2322 x^{3} + 1404 x^{2} - 1134 x + 243$	$16$	(6, 5)	$-\,2^{24}\cdot 3^{21}\cdot 7^{2}\cdot 11^{8}$	$4$	$50.5941422989$					$C_2^8.C_3^4:\GL(2,3)$ (as 16T1930)	$[2]$	$[2]$	$2$	$10$	$111515858.049$	$6$	$11$
16.6.210...272.1	$x^{16} + 4 x^{14} - 10 x^{13} - 79 x^{12} - 128 x^{11} + 106 x^{10} + 576 x^{9} + 497 x^{8} + 348 x^{7} + 1824 x^{6} + 3538 x^{5} + 1276 x^{4} - 4180 x^{3} - 6678 x^{2} - 4266 x - 1061$	$16$	(6, 5)	$-\,2^{26}\cdot 3^{2}\cdot 7\cdot 163^{8}$	$4$	$51.018340678$	$796.1947127903047$			?	$C_2^8.C_3^4.C_2\wr A_4$ (as 16T1941)	trivial	$[2]$	$2$	$10$	$484993704.186$	$5$	$163$
16.16.399...625.1	$x^{16} - 3 x^{15} - 72 x^{14} + 211 x^{13} + 2141 x^{12} - 6093 x^{11} - 33838 x^{10} + 92951 x^{9} + 303357 x^{8} - 801460 x^{7} - 1505548 x^{6} + 3855520 x^{5} + 3575488 x^{4} - 9384448 x^{3} - 2066304 x^{2} + 8568832 x - 2262784$	$16$	(16, 0)	$5^{8}\cdot 7^{2}\cdot 19^{4}\cdot 41^{4}\cdot 71^{2}\cdot 103^{4}$	$6$	$81.77550247455503$	$14120.515040181785$				$C_2^5:(C_2\times S_4)$ (as 16T1298)	trivial	$[2, 2, 2]$	$2$	$15$	$11453175775.432598$	$13$	$103$
16.8.103...000.1	$x^{16} - 2 x^{15} + 18 x^{14} - 60 x^{13} + 213 x^{12} - 642 x^{11} + 1630 x^{10} - 3740 x^{9} + 7355 x^{8} - 11796 x^{7} + 13398 x^{6} - 9906 x^{5} + 4654 x^{4} - 1370 x^{3} + 244 x^{2} - 24 x + 1$	$16$	(8, 4)	$2^{24}\cdot 5^{8}\cdot 7^{2}\cdot 13^{8}\cdot 103^{2}\cdot 193^{2}$	$6$	$100.216272089$	$13043.831623269729$			?	$A_4^2\wr C_2.C_2^2.A_4$ (as 16T1937)	$[2]$	$[2, 2, 4]$	$2$	$11$	$18273266701.7$	$5$	$193$
16.16.246...969.1	$x^{16} - 3 x^{15} - 62 x^{14} + 187 x^{13} + 1515 x^{12} - 4623 x^{11} - 18284 x^{10} + 57129 x^{9} + 110633 x^{8} - 363856 x^{7} - 291428 x^{6} + 1100032 x^{5} + 160832 x^{4} - 1235264 x^{3} + 305280 x^{2} + 14848 x - 5888$	$16$	(16, 0)	$7^{2}\cdot 13^{8}\cdot 17^{4}\cdot 19^{4}\cdot 71^{2}\cdot 103^{4}$	$6$	$105.80986529759124$	$14661.207624203404$				$C_2^5:(C_2\times S_4)$ (as 16T1298)	trivial	$[2, 2, 2]$	$2$	$15$	$296729388618.66595$	$13$	$103$
16.16.332...000.1	$x^{16} - 2 x^{15} - 57 x^{14} + 112 x^{13} + 1287 x^{12} - 2493 x^{11} - 14499 x^{10} + 27812 x^{9} + 83622 x^{8} - 160456 x^{7} - 220436 x^{6} + 440360 x^{5} + 159616 x^{4} - 439040 x^{3} + 99584 x^{2} + 26880 x + 1280$	$16$	(16, 0)	$2^{6}\cdot 5^{8}\cdot 7^{2}\cdot 41^{4}\cdot 17609^{4}$	$5$	$107.80481114054234$	$14217.992825993408$			?	$C_2^5:(C_2\times S_4)$ (as 16T1298)	trivial	$[2, 2, 2, 2]$	$2$	$15$	$209954211851.0666$	$12$	$17609$
16.16.449...625.1	$x^{16} - x^{15} - 66 x^{14} + 67 x^{13} + 1769 x^{12} - 1819 x^{11} - 24658 x^{10} + 25729 x^{9} + 189717 x^{8} - 203308 x^{7} - 783220 x^{6} + 893216 x^{5} + 1507552 x^{4} - 2004096 x^{3} - 745728 x^{2} + 1693952 x - 545536$	$16$	(16, 0)	$5^{8}\cdot 7^{2}\cdot 23^{2}\cdot 41^{4}\cdot 11197^{4}$	$5$	$109.85241790756494$	$19223.864986001125$				$C_2^5:(C_2\times S_4)$ (as 16T1298)	trivial	$[2, 2, 2, 2]$	$2$	$15$	$217147190969.45996$	$12$	$11197$
16.16.148...000.1	$x^{16} - x^{15} - 66 x^{14} + 61 x^{13} + 1779 x^{12} - 1490 x^{11} - 25104 x^{10} + 18332 x^{9} + 197252 x^{8} - 116352 x^{7} - 844688 x^{6} + 343904 x^{5} + 1770384 x^{4} - 360512 x^{3} - 1355456 x^{2} + 173568 x + 287744$	$16$	(16, 0)	$2^{8}\cdot 5^{8}\cdot 7^{2}\cdot 41^{4}\cdot 18097^{4}$	$5$	$118.36815157860927$	$14413.658799902265$				$C_2^5:(C_2\times S_4)$ (as 16T1298)	trivial	$[2, 2, 2, 2]$	$2$	$15$	$961059971242.4354$	$12$	$18097$
16.16.211...625.1	$x^{16} - 74 x^{14} - 6 x^{13} + 2275 x^{12} + 372 x^{11} - 37413 x^{10} - 9315 x^{9} + 351975 x^{8} + 120534 x^{7} - 1864956 x^{6} - 852984 x^{5} + 5001568 x^{4} + 3165600 x^{3} - 4743104 x^{2} - 4932096 x - 1200896$	$16$	(16, 0)	$5^{8}\cdot 7^{2}\cdot 31^{2}\cdot 41^{4}\cdot 14197^{4}$	$5$	$121.00061527504958$	$25130.72909805842$				$C_2^5:(C_2\times S_4)$ (as 16T1298)	trivial	$[2, 2, 2]$	$2$	$15$	$789769674267.3774$	$13$	$14197$
16.16.238...625.1	$x^{16} - 64 x^{14} - 2 x^{13} + 1659 x^{12} + 86 x^{11} - 22291 x^{10} - 1493 x^{9} + 164807 x^{8} + 15490 x^{7} - 654940 x^{6} - 114472 x^{5} + 1256832 x^{4} + 480544 x^{3} - 899136 x^{2} - 634880 x - 101120$	$16$	(16, 0)	$5^{8}\cdot 7^{2}\cdot 23^{6}\cdot 41^{4}\cdot 739^{4}$	$5$	$121.93468746500712$	$10815.436373836514$				$C_2^5:(C_2\times S_4)$ (as 16T1298)	trivial	$[2, 2, 2, 2]$	$2$	$15$	$498121691542.39844$	$12$	$739$
16.16.381...000.1	$x^{16} - 69 x^{14} - 6 x^{13} + 1959 x^{12} + 315 x^{11} - 29405 x^{10} - 6198 x^{9} + 249042 x^{8} + 54756 x^{7} - 1172124 x^{6} - 189480 x^{5} + 2797376 x^{4} + 11136 x^{3} - 2649600 x^{2} + 594432 x + 20736$	$16$	(16, 0)	$2^{4}\cdot 5^{8}\cdot 7^{2}\cdot 19^{4}\cdot 41^{4}\cdot 2411^{4}$	$6$	$125.54904775687234$	$16215.537610575851$			?	$C_2^5:(C_2\times S_4)$ (as 16T1298)	trivial	$[2, 2, 2, 2, 2]$	$2$	$15$	$725856406390.9493$	$11$	$2411$
16.16.640...000.1	$x^{16} - 2 x^{15} - 67 x^{14} + 130 x^{13} + 1830 x^{12} - 3432 x^{11} - 26045 x^{10} + 46976 x^{9} + 203985 x^{8} - 352068 x^{7} - 843504 x^{6} + 1397936 x^{5} + 1533424 x^{4} - 2596608 x^{3} - 443904 x^{2} + 1609728 x - 507904$	$16$	(16, 0)	$2^{16}\cdot 5^{8}\cdot 7^{2}\cdot 31^{2}\cdot 41^{4}\cdot 1171^{4}$	$6$	$129.6903470765064$	$20414.10002914652$				$C_2^5:(C_2\times S_4)$ (as 16T1298)	trivial	$[2, 2, 2, 2, 2]$	$2$	$15$	$1678098759336.5708$	$11$	$1171$
16.16.740...625.1	$x^{16} - x^{15} - 66 x^{14} + 63 x^{13} + 1773 x^{12} - 1621 x^{11} - 24792 x^{10} + 21661 x^{9} + 191069 x^{8} - 156812 x^{7} - 787452 x^{6} + 575264 x^{5} + 1533696 x^{4} - 861696 x^{3} - 1036416 x^{2} + 348160 x - 24320$	$16$	(16, 0)	$5^{8}\cdot 7^{2}\cdot 31^{2}\cdot 41^{4}\cdot 19429^{4}$	$5$	$130.87329751784625$	$29398.963672211306$				$C_2^5:(C_2\times S_4)$ (as 16T1298)	trivial	$[2, 2, 2, 2]$	$2$	$15$	$980965852496.4117$	$12$	$19429$
16.16.205...336.1	$x^{16} - 2 x^{15} - 61 x^{14} + 110 x^{13} + 1499 x^{12} - 2405 x^{11} - 18857 x^{10} + 26688 x^{9} + 126882 x^{8} - 158448 x^{7} - 431612 x^{6} + 476792 x^{5} + 629344 x^{4} - 563968 x^{3} - 315264 x^{2} + 136192 x + 59648$	$16$	(16, 0)	$2^{6}\cdot 7^{2}\cdot 13^{8}\cdot 17^{4}\cdot 17609^{4}$	$5$	$139.4893605057621$	$14762.417959128512$			?	$C_2^5:(C_2\times S_4)$ (as 16T1298)	trivial	$[2, 2, 2, 2]$	$2$	$15$	$1046189699591.4612$	$12$	$17609$
16.16.277...641.1	$x^{16} - x^{15} - 64 x^{14} + 51 x^{13} + 1635 x^{12} - 949 x^{11} - 21088 x^{10} + 7487 x^{9} + 142513 x^{8} - 18384 x^{7} - 470988 x^{6} - 41280 x^{5} + 617120 x^{4} + 194880 x^{3} - 120576 x^{2} - 44800 x - 768$	$16$	(16, 0)	$7^{2}\cdot 13^{8}\cdot 17^{4}\cdot 23^{2}\cdot 11197^{4}$	$5$	$142.1387724891188$	$19959.971367714934$				$C_2^5:(C_2\times S_4)$ (as 16T1298)	trivial	$[2, 2, 2]$	$2$	$15$	$3182616650298.098$	$13$	$11197$
16.16.343...000.1	$x^{16} - 59 x^{14} - 2 x^{13} + 1393 x^{12} + 67 x^{11} - 16803 x^{10} - 648 x^{9} + 109662 x^{8} + 1168 x^{7} - 377876 x^{6} + 1976 x^{5} + 620320 x^{4} + 31680 x^{3} - 402816 x^{2} - 56576 x + 38144$	$16$	(16, 0)	$2^{6}\cdot 5^{8}\cdot 7^{2}\cdot 41^{4}\cdot 73^{4}\cdot 769^{4}$	$6$	$144.05116326145614$	$25386.074135241943$			?	$C_2^5:(C_2\times S_4)$ (as 16T1298)	trivial	$[2, 2, 2]$	$2$	$15$	$1946314751597.4688$	$13$	$769$
16.16.841...000.1	$x^{16} - x^{15} - 71 x^{14} + 66 x^{13} + 2081 x^{12} - 1758 x^{11} - 32373 x^{10} + 24000 x^{9} + 285306 x^{8} - 175824 x^{7} - 1398372 x^{6} + 662088 x^{5} + 3409504 x^{4} - 1172032 x^{3} - 2920064 x^{2} + 1080576 x + 38144$	$16$	(16, 0)	$2^{4}\cdot 3^{4}\cdot 5^{8}\cdot 7^{2}\cdot 23^{4}\cdot 41^{4}\cdot 1439^{4}$	$7$	$152.3362257610299$	$23873.213859889078$				$C_2^5:(C_2\times S_4)$ (as 16T1298)	trivial	$[2, 2, 2, 2, 2]$	$2$	$15$	$3749657575928.656$	$11$	$1439$
16.16.916...824.1	$x^{16} - x^{15} - 64 x^{14} + 63 x^{13} + 1659 x^{12} - 1590 x^{11} - 22280 x^{10} + 20492 x^{9} + 164148 x^{8} - 141152 x^{7} - 642864 x^{6} + 481952 x^{5} + 1175184 x^{4} - 581632 x^{3} - 708416 x^{2} - 131072 x - 3072$	$16$	(16, 0)	$2^{8}\cdot 7^{2}\cdot 13^{8}\cdot 17^{4}\cdot 18097^{4}$	$5$	$153.15733679477657$	$14965.576233476611$				$C_2^5:(C_2\times S_4)$ (as 16T1298)	trivial	$[2, 2, 2, 2]$	$2$	$15$	$19272794180492.293$	$12$	$18097$
16.16.130...569.1	$x^{16} - 66 x^{14} - 12 x^{13} + 1787 x^{12} + 648 x^{11} - 25459 x^{10} - 13707 x^{9} + 202811 x^{8} + 143466 x^{7} - 879044 x^{6} - 770040 x^{5} + 1810368 x^{4} + 1958688 x^{3} - 1059392 x^{2} - 1736448 x - 472832$	$16$	(16, 0)	$7^{2}\cdot 13^{8}\cdot 17^{4}\cdot 31^{2}\cdot 14197^{4}$	$5$	$156.5634990400996$	$26093.016862754677$				$C_2^5:(C_2\times S_4)$ (as 16T1298)	trivial	$[2, 2, 2, 2, 2]$	$2$	$15$	$3169660874293.0464$	$11$	$14197$
16.16.147...241.1	$x^{16} - 64 x^{14} - 4 x^{13} + 1619 x^{12} + 246 x^{11} - 20361 x^{10} - 5717 x^{9} + 130635 x^{8} + 61566 x^{7} - 387524 x^{6} - 297224 x^{5} + 375584 x^{4} + 483488 x^{3} + 157504 x^{2} + 13056 x + 256$	$16$	(16, 0)	$7^{2}\cdot 13^{8}\cdot 17^{4}\cdot 23^{6}\cdot 739^{4}$	$5$	$157.77210124500058$	$11229.5732678273$				$C_2^5:(C_2\times S_4)$ (as 16T1298)	$[2]$	$[2, 2, 2, 2]$	$2$	$15$	$2127659958700.3232$	$13$	$739$
16.16.235...384.1	$x^{16} - 65 x^{14} - 12 x^{13} + 1743 x^{12} + 693 x^{11} - 24811 x^{10} - 15810 x^{9} + 199678 x^{8} + 180180 x^{7} - 880772 x^{6} - 1059240 x^{5} + 1799712 x^{4} + 2907648 x^{3} - 699264 x^{2} - 2527488 x - 887552$	$16$	(16, 0)	$2^{4}\cdot 7^{2}\cdot 13^{8}\cdot 17^{4}\cdot 19^{4}\cdot 2411^{4}$	$6$	$162.44874601081193$	$16836.451288795986$			?	$C_2^5:(C_2\times S_4)$ (as 16T1298)	trivial	$[2, 2, 2]$	$2$	$15$	$4799742338848.25$	$13$	$2411$
16.16.395...384.1	$x^{16} - 2 x^{15} - 63 x^{14} + 118 x^{13} + 1590 x^{12} - 2764 x^{11} - 20385 x^{10} + 32592 x^{9} + 138401 x^{8} - 201196 x^{7} - 469488 x^{6} + 598800 x^{5} + 685040 x^{4} - 615680 x^{3} - 407040 x^{2} + 94208 x + 16384$	$16$	(16, 0)	$2^{16}\cdot 7^{2}\cdot 13^{8}\cdot 17^{4}\cdot 31^{2}\cdot 1171^{4}$	$6$	$167.80720068131467$	$21195.782033225383$				$C_2^5:(C_2\times S_4)$ (as 16T1298)	$[2]$	$[2, 2, 2, 2, 2]$	$2$	$15$	$14740293958258.627$	$12$	$1171$
16.16.457...369.1	$x^{16} - x^{15} - 64 x^{14} + 59 x^{13} + 1627 x^{12} - 1403 x^{11} - 20694 x^{10} + 17307 x^{9} + 135353 x^{8} - 117376 x^{7} - 414100 x^{6} + 405632 x^{5} + 447744 x^{4} - 480704 x^{3} - 83584 x^{2} + 121856 x - 20224$	$16$	(16, 0)	$7^{2}\cdot 13^{8}\cdot 17^{4}\cdot 31^{2}\cdot 19429^{4}$	$5$	$169.33782810718517$	$30524.687598729$				$C_2^5:(C_2\times S_4)$ (as 16T1298)	$[2]$	$[2, 2, 2, 2]$	$2$	$15$	$5845587769325.322$	$13$	$19429$
16.16.212...536.1	$x^{16} - 63 x^{14} - 4 x^{13} + 1577 x^{12} + 261 x^{11} - 19833 x^{10} - 6324 x^{9} + 129914 x^{8} + 70200 x^{7} - 407964 x^{6} - 348936 x^{5} + 422912 x^{4} + 603328 x^{3} + 251392 x^{2} + 41984 x + 2304$	$16$	(16, 0)	$2^{6}\cdot 7^{2}\cdot 13^{8}\cdot 17^{4}\cdot 73^{4}\cdot 769^{4}$	$6$	$186.388756038505$	$26358.139388052412$			?	$C_2^5:(C_2\times S_4)$ (as 16T1298)	trivial	$[2, 2, 2, 2]$	$2$	$15$	$25148375373030.953$	$12$	$769$
16.16.519...984.1	$x^{16} - x^{15} - 65 x^{14} + 64 x^{13} + 1711 x^{12} - 1622 x^{11} - 23327 x^{10} + 20556 x^{9} + 174638 x^{8} - 133920 x^{7} - 701148 x^{6} + 398120 x^{5} + 1375168 x^{4} - 298560 x^{3} - 1095936 x^{2} - 262656 x + 39168$	$16$	(16, 0)	$2^{4}\cdot 3^{4}\cdot 7^{2}\cdot 13^{8}\cdot 17^{4}\cdot 23^{4}\cdot 1439^{4}$	$7$	$197.1088533847096$	$24787.349757487184$			?	$C_2^5:(C_2\times S_4)$ (as 16T1298)	$[4]$	$[2, 2, 2, 2, 4]$	$2$	$15$	$5897811755427.919$	$12$	$1439$
16.16.207...864.1	$x^{16} - 306 x^{14} - 1008 x^{13} + 34839 x^{12} + 227136 x^{11} - 1399852 x^{10} - 17048352 x^{9} - 18559935 x^{8} + 393063488 x^{7} + 1968093756 x^{6} + 2391470496 x^{5} - 7343769681 x^{4} - 27861762240 x^{3} - 33502904262 x^{2} - 13299413328 x + 655348401$	$16$	(16, 0)	$2^{32}\cdot 3^{12}\cdot 7^{2}\cdot 19^{4}\cdot 73^{2}\cdot 103^{4}\cdot 487^{2}$	$7$	$286.610681276$				?	$A_4\wr A_4.C_2^2$ (as 16T1929)	trivial	$[2, 2, 2, 2]$	$2$	$15$	$625785573636000$	$12$	$487$
18.2.267...296.1	$x^{18} - x^{16} + 3 x^{14} + 31 x^{12} - 68 x^{10} + 104 x^{8} + 92 x^{6} - 24 x^{4} - 28 x^{2} - 4$	$18$	(2, 8)	$2^{32}\cdot 7^{4}\cdot 11^{10}$	$3$	$20.0223704774$	$161.76581611146767$			?	$A_4^3.(C_2\times S_4)$ (as 18T771)	trivial	trivial	$2$	$9$	$51353.5224497$	$2$	$11$
18.2.534...592.1	$x^{18} - 2 x^{16} - 19 x^{14} + 46 x^{12} + 25 x^{10} - 36 x^{8} - 33 x^{6} - 14 x^{4} - 10 x^{2} - 2$	$18$	(2, 8)	$2^{33}\cdot 7^{4}\cdot 11^{10}$	$3$	$20.8084332456$	$161.76581611146767$			?	$A_4^3.(C_2\times S_4)$ (as 18T775)	trivial	trivial	$2$	$9$	$106854.922578$	$2$	$11$
18.0.735...064.1	$x^{18} + 2 x^{16} - 9 x^{14} + 56 x^{12} + 55 x^{10} - 110 x^{8} + 561 x^{6} + 836 x^{4} + 176 x^{2} + 176$	$18$	(0, 9)	$-\,2^{30}\cdot 7^{4}\cdot 11^{11}$	$3$	$21.1798492586$	$139.68651392064885$			?	$C_6^2.S_3^2$ (as 18T317)	trivial	trivial	$2$	$8$	$104941.682922$	$0$	$11$
18.4.117...024.1	$x^{18} - 6 x^{17} + x^{16} + 52 x^{15} - 83 x^{14} - 70 x^{13} + 283 x^{12} - 260 x^{11} - 66 x^{10} + 308 x^{9} + 88 x^{8} - 460 x^{7} - 34 x^{6} + 200 x^{5} + 214 x^{4} - 144 x^{3} + 14 x^{2} - 28 x - 14$	$18$	(4, 7)	$-\,2^{34}\cdot 7^{4}\cdot 11^{11}$	$3$	$24.706909214$	$206.2926959931561$			?	$A_4^3.(C_2\times S_4)$ (as 18T778)	trivial	trivial	$2$	$10$	$1319543.3622$	$4$	$11$

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