Number field search results

Note: Search results may be incomplete due to uncomputed quantities: Class number (201181 objects)

Results (1-50 of 2380 matches)

 

Label	Polynomial	Degree	Signature	Discriminant	Ram. prime count	Root discriminant	Galois root discriminant	CM field	Galois	Monogenic	Galois group	Class group	Unit group torsion	Unit group rank	Regulator
16.12.599...625.1	$x^{16} - x^{15} - 11 x^{14} + 12 x^{13} + 43 x^{12} - 57 x^{11} - 68 x^{10} + 138 x^{9} + 26 x^{8} - 183 x^{7} + 29 x^{6} + 137 x^{5} - 20 x^{4} - 54 x^{3} + 8 x + 1$	$16$	[12,2]	$5^{12}\cdot 19^{2}\cdot 29^{4}\cdot 31^{2}$	$4$	$17.2223104897$	$437.00272953194417$			?	$C_2^2\wr D_4$ (as 16T1340)	trivial	$2$	$13$	$12873.243619$
16.12.792...125.1	$x^{16} - 7 x^{15} + 10 x^{14} + 33 x^{13} - 93 x^{12} - 40 x^{11} + 290 x^{10} - 53 x^{9} - 465 x^{8} + 191 x^{7} + 392 x^{6} - 181 x^{5} - 155 x^{4} + 62 x^{3} + 20 x^{2} - 5 x - 1$	$16$	[12,2]	$5^{8}\cdot 181\cdot 439^{2}\cdot 2411^{2}$	$4$	$17.5255892733$	$30949.60815583939$			?	$C_2^6.S_4^2:D_4$ (as 16T1905)	trivial	$2$	$13$	$15112.193417$
16.12.806...625.1	$x^{16} - 2 x^{15} - 14 x^{14} + 38 x^{13} + 34 x^{12} - 176 x^{11} + 82 x^{10} + 230 x^{9} - 268 x^{8} - 12 x^{7} + 127 x^{6} - 11 x^{5} - 16 x^{4} - 23 x^{3} + 5 x^{2} + 7 x - 1$	$16$	[12,2]	$5^{8}\cdot 19^{2}\cdot 29^{6}\cdot 31^{2}$	$4$	$17.5448097498$	$678.1740192261292$			?	$C_2^2\wr D_4$ (as 16T1340)	trivial	$2$	$13$	$15183.0740955$
16.12.135...341.1	$x^{16} - 4 x^{15} + 17 x^{13} - 22 x^{12} - 6 x^{11} + 49 x^{10} - 21 x^{9} - 39 x^{8} - 6 x^{7} + x^{6} + 36 x^{5} + 19 x^{4} - 19 x^{3} - 10 x^{2} + 2 x + 1$	$16$	[12,2]	$3^{6}\cdot 19^{4}\cdot 73\cdot 103^{4}\cdot 173$	$5$	$18.1198140755$	$8610.740908888154$			?	$C_4^4.C_2\wr S_4$ (as 16T1879)	trivial	$2$	$13$	$20492.2683071$
16.12.137...625.1	$x^{16} - 3 x^{15} - 10 x^{14} + 34 x^{13} + 35 x^{12} - 142 x^{11} - 56 x^{10} + 268 x^{9} + 66 x^{8} - 218 x^{7} - 88 x^{6} + 32 x^{5} + 68 x^{4} + 33 x^{3} - 16 x^{2} - 4 x + 1$	$16$	[12,2]	$3^{8}\cdot 5^{12}\cdot 11^{2}\cdot 29^{4}$	$4$	$18.1368439249$	$103.43879964663402$			?	$D_4^2:C_4$ (as 16T547)	trivial	$2$	$13$	$20803.7846927$
16.12.157...000.1	$x^{16} - 11 x^{14} + 41 x^{12} - 49 x^{10} - 37 x^{8} + 103 x^{6} - 16 x^{4} - 37 x^{2} + 1$	$16$	[12,2]	$2^{4}\cdot 3^{12}\cdot 5^{8}\cdot 83^{4}$	$4$	$18.2958657643$	$146.78967463821385$			?	$(C_2^3\times C_4):S_4$ (as 16T1046)	trivial	$2$	$13$	$26730.7782372$
16.12.178...625.1	$x^{16} - 2 x^{15} - 8 x^{14} + 29 x^{13} - 18 x^{12} - 106 x^{11} + 223 x^{10} + 67 x^{9} - 495 x^{8} + 211 x^{7} + 419 x^{6} - 336 x^{5} - 112 x^{4} + 149 x^{3} - 10 x^{2} - 12 x + 1$	$16$	[12,2]	$3^{8}\cdot 5^{12}\cdot 59^{2}\cdot 179^{2}$	$4$	$18.4395900234$	$595.1694789348905$			?	$C_2^2\wr C_4$ (as 16T1224)	trivial	$2$	$13$	$23933.1437235$
16.12.228...072.1	$x^{16} - 14 x^{14} + 71 x^{12} - 4 x^{11} - 168 x^{10} + 20 x^{9} + 200 x^{8} - 36 x^{7} - 128 x^{6} + 36 x^{5} + 48 x^{4} - 20 x^{3} - 10 x^{2} + 4 x + 1$	$16$	[12,2]	$2^{32}\cdot 3^{8}\cdot 17^{4}\cdot 97$	$4$	$18.7243211977$				?	$C_2^6.D_4^2$ (as 16T1590)	trivial	$2$	$13$	$28228.0146836$
16.12.230...125.1	$x^{16} - 7 x^{15} + 12 x^{14} + 11 x^{13} - 39 x^{12} + 14 x^{11} + 12 x^{10} - 6 x^{9} + 36 x^{8} - 57 x^{7} - 26 x^{6} + 73 x^{5} + 8 x^{4} - 33 x^{3} - 4 x^{2} + 5 x + 1$	$16$	[12,2]	$5^{8}\cdot 29^{4}\cdot 941^{3}$	$3$	$18.734088005$	$2045.861448318792$			?	$C_4\wr D_4$ (as 16T1432)	trivial	$2$	$13$	$28033.8182723$
16.12.239...625.1	$x^{16} - 2 x^{15} - 11 x^{14} + 25 x^{13} + 30 x^{12} - 93 x^{11} - 3 x^{10} + 138 x^{9} - 76 x^{8} - 67 x^{7} + 72 x^{6} - 25 x^{5} - 6 x^{4} + 27 x^{3} - 9 x^{2} - 3 x + 1$	$16$	[12,2]	$5^{10}\cdot 7^{2}\cdot 29^{8}$	$3$	$18.7798667586$	$47.64041348647476$			?	$C_4^2:D_4$ (as 16T400)	trivial	$2$	$13$	$27575.3654158$
16.12.240...581.1	$x^{16} - 3 x^{15} - 7 x^{14} + 20 x^{13} + 27 x^{12} - 51 x^{11} - 79 x^{10} + 63 x^{9} + 152 x^{8} - 42 x^{7} - 160 x^{6} + 20 x^{5} + 80 x^{4} - 8 x^{3} - 16 x^{2} + x + 1$	$16$	[12,2]	$7^{2}\cdot 19^{4}\cdot 43^{2}\cdot 103^{4}\cdot 181$	$5$	$18.785529$	$10325.663029558926$			?	$C_4^4.C_2\wr S_4$ (as 16T1879)	trivial	$2$	$13$	$28541.8391235$
16.12.246...125.1	$x^{16} - 8 x^{15} + 17 x^{14} + 21 x^{13} - 115 x^{12} + 53 x^{11} + 240 x^{10} - 232 x^{9} - 218 x^{8} + 273 x^{7} + 114 x^{6} - 134 x^{5} - 55 x^{4} + 31 x^{3} + 16 x^{2} - 4 x - 1$	$16$	[12,2]	$5^{8}\cdot 29^{4}\cdot 379^{2}\cdot 6221$	$4$	$18.8161456207$	$18489.863574402058$			?	$C_4^4.C_2\wr D_4$ (as 16T1823)	trivial	$2$	$13$	$28762.3232732$
16.12.261...997.1	$x^{16} - 3 x^{15} - 8 x^{14} + 35 x^{13} + 8 x^{12} - 150 x^{11} + 86 x^{10} + 289 x^{9} - 295 x^{8} - 248 x^{7} + 358 x^{6} + 93 x^{5} - 184 x^{4} - 19 x^{3} + 36 x^{2} + 3 x - 1$	$16$	[12,2]	$7^{2}\cdot 19^{4}\cdot 43^{2}\cdot 103^{4}\cdot 197$	$5$	$18.8852464853$	$10772.38269836344$			?	$C_4^4.C_2\wr S_4$ (as 16T1879)	trivial	$2$	$13$	$28900.4927965$
16.12.277...416.1	$x^{16} - 7 x^{14} + 14 x^{12} + 2 x^{10} - 27 x^{8} + x^{6} + 35 x^{4} - 19 x^{2} + 1$	$16$	[12,2]	$2^{16}\cdot 89^{2}\cdot 731531^{2}$	$3$	$18.9553949782$				✓	$C_2^7.S_8$ (as 16T1945)	trivial	$2$	$13$	$30917.2765692$
16.12.284...169.1	$x^{16} - 8 x^{15} + 18 x^{14} + 14 x^{13} - 98 x^{12} + 42 x^{11} + 213 x^{10} - 163 x^{9} - 270 x^{8} + 232 x^{7} + 208 x^{6} - 162 x^{5} - 88 x^{4} + 49 x^{3} + 16 x^{2} - 4 x - 1$	$16$	[12,2]	$43^{2}\cdot 521^{2}\cdot 4337^{2}\cdot 30089$	$4$	$18.9818018179$	$1709825.0586475213$			✓	$C_2^8.S_8$ (as 16T1948)	trivial	$2$	$13$	$30667.3160594$
16.12.290...000.1	$x^{16} - 28 x^{12} + 119 x^{8} - 150 x^{6} + 73 x^{4} - 15 x^{2} + 1$	$16$	[12,2]	$2^{8}\cdot 3^{8}\cdot 5^{12}\cdot 29^{4}$	$4$	$19.0065209169$	$88.21290473450735$			?	$D_4^2:C_4$ (as 16T610)	trivial	$2$	$13$	$32372.3802898$
16.12.290...000.2	$x^{16} - 13 x^{14} + 56 x^{12} - 64 x^{10} - 141 x^{8} + 348 x^{6} - 156 x^{4} - x^{2} + 1$	$16$	[12,2]	$2^{8}\cdot 3^{8}\cdot 5^{12}\cdot 29^{4}$	$4$	$19.0065209169$	$88.21290473450735$			?	$D_4^2:C_4$ (as 16T610)	trivial	$2$	$13$	$32241.2705566$
16.12.302...125.1	$x^{16} - x^{15} - 10 x^{14} - 4 x^{13} + 28 x^{12} + 43 x^{11} + 14 x^{10} - 28 x^{9} - 114 x^{8} - 156 x^{7} + 37 x^{6} + 162 x^{5} + 25 x^{4} - 51 x^{3} - 11 x^{2} + 5 x + 1$	$16$	[12,2]	$3^{8}\cdot 5^{12}\cdot 181\cdot 1021^{2}$	$4$	$19.0555399512$	$2489.661417672909$			?	$C_4^4.C_2\wr C_4$ (as 16T1771)	trivial	$2$	$13$	$32380.1670441$
16.12.307...144.1	$x^{16} - 5 x^{14} + 23 x^{10} - 11 x^{8} - 28 x^{6} + 30 x^{4} - 10 x^{2} + 1$	$16$	[12,2]	$2^{16}\cdot 811^{2}\cdot 84457^{2}$	$3$	$19.0759888005$				✓	$C_2^7.S_8$ (as 16T1945)	trivial	$2$	$13$	$32162.7474809$
16.12.311...329.1	$x^{16} - 8 x^{15} + 22 x^{14} - 14 x^{13} - 59 x^{12} + 172 x^{11} - 165 x^{10} - 132 x^{9} + 425 x^{8} - 160 x^{7} - 285 x^{6} + 188 x^{5} + 74 x^{4} - 56 x^{3} - 9 x^{2} + 6 x + 1$	$16$	[12,2]	$3^{2}\cdot 277^{8}$	$2$	$19.093258014$	$73.60045063387453$			?	$C_2^4.\SL(2,3)$ (as 16T732)	trivial	$2$	$13$	$34417.1959055$
16.12.332...125.1	$x^{16} - 8 x^{15} + 19 x^{14} + 7 x^{13} - 86 x^{12} + 61 x^{11} + 140 x^{10} - 139 x^{9} - 157 x^{8} + 131 x^{7} + 161 x^{6} - 76 x^{5} - 104 x^{4} + 28 x^{3} + 27 x^{2} - 5 x - 1$	$16$	[12,2]	$5^{8}\cdot 11\cdot 29\cdot 139\cdot 138571^{2}$	$5$	$19.1698797562$	$175276.59157742656$			?	$C_2^6.S_4^2:D_4$ (as 16T1905)	trivial	$2$	$13$	$34905.2544836$
16.12.365...000.1	$x^{16} - 2 x^{15} - 10 x^{14} + 32 x^{13} + 4 x^{12} - 146 x^{11} + 189 x^{10} + 144 x^{9} - 439 x^{8} + 152 x^{7} + 251 x^{6} - 202 x^{5} - 16 x^{4} + 56 x^{3} - 10 x^{2} - 4 x + 1$	$16$	[12,2]	$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 59^{2}$	$4$	$19.2830011757$	$88.97011093816425$			?	$C_2^7:(C_2\times C_4)$ (as 16T1102)	trivial	$2$	$13$	$34733.7771205$
16.12.365...000.2	$x^{16} - 2 x^{14} - 5 x^{12} - 7 x^{10} + 69 x^{8} - 98 x^{6} + 55 x^{4} - 13 x^{2} + 1$	$16$	[12,2]	$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 59^{2}$	$4$	$19.2830011757$	$88.97011093816425$			?	$C_2^5:C_4$ (as 16T261)	trivial	$2$	$13$	$35659.6414452$
16.12.365...000.3	$x^{16} - 10 x^{14} + 38 x^{12} - 70 x^{10} + 69 x^{8} - 45 x^{6} + 27 x^{4} - 10 x^{2} + 1$	$16$	[12,2]	$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 59^{2}$	$4$	$19.2830011757$				✓	$C_2\wr (C_2\times C_4)$ (as 16T1385)	trivial	$2$	$13$	$36128.9140518$
16.12.367...000.1	$x^{16} - 8 x^{14} + 26 x^{12} - 55 x^{10} + 103 x^{8} - 147 x^{6} + 115 x^{4} - 35 x^{2} + 1$	$16$	[12,2]	$2^{16}\cdot 5^{8}\cdot 119851^{2}$	$3$	$19.290576448$				?	$C_2^6.S_4\wr C_2$ (as 16T1868)	trivial	$2$	$13$	$35230.2614165$
16.12.390...000.1	$x^{16} - 3 x^{14} - 4 x^{13} - 27 x^{12} + 34 x^{11} + 85 x^{10} + 10 x^{9} - 79 x^{8} - 324 x^{7} + 335 x^{6} + 268 x^{5} - 490 x^{4} + 230 x^{3} - 32 x^{2} - 4 x + 1$	$16$	[12,2]	$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 61^{2}$	$4$	$19.3635221055$	$90.46551164752914$			?	$C_2^7:(C_2\times C_4)$ (as 16T1102)	trivial	$2$	$13$	$36287.285736$
16.12.411...000.1	$x^{16} - 15 x^{14} + 85 x^{12} - 235 x^{10} + 352 x^{8} - 285 x^{6} + 115 x^{4} - 20 x^{2} + 1$	$16$	[12,2]	$2^{24}\cdot 5^{8}\cdot 89^{4}$	$3$	$19.4257366728$	$100.34540629294615$			?	$C_2^7:D_4$ (as 16T1116)	trivial	$2$	$13$	$46631.6062199$
16.12.466...000.1	$x^{16} - 8 x^{14} + 21 x^{12} - 17 x^{10} - 5 x^{8} + 2 x^{6} + 11 x^{4} - 7 x^{2} + 1$	$16$	[12,2]	$2^{16}\cdot 5^{8}\cdot 71^{2}\cdot 1901^{2}$	$4$	$19.5792051096$				✓	$C_2^6.S_4\wr C_2$ (as 16T1868)	trivial	$2$	$13$	$42017.3035959$
16.12.524...000.1	$x^{16} - 16 x^{14} + 107 x^{12} - 394 x^{10} + 883 x^{8} - 1246 x^{6} + 1083 x^{4} - 520 x^{2} + 101$	$16$	[12,2]	$2^{8}\cdot 5^{8}\cdot 29^{4}\cdot 101\cdot 271^{2}$	$5$	$19.723807111$	$5634.74577953611$			?	$C_4^4.C_2\wr D_4$ (as 16T1823)	trivial	$2$	$13$	$46196.4622343$
16.12.671...000.1	$x^{16} - 2 x^{15} - 16 x^{14} + 8 x^{13} + 113 x^{12} + 108 x^{11} - 294 x^{10} - 776 x^{9} - 297 x^{8} + 1148 x^{7} + 1764 x^{6} + 894 x^{5} + 13 x^{4} - 124 x^{3} - 24 x^{2} + 4 x + 1$	$16$	[12,2]	$2^{24}\cdot 3^{8}\cdot 5^{14}$	$3$	$20.0310804248$	$25.977097417310098$			?	$C_2^5:C_4$ (as 16T261)	trivial	$2$	$13$	$50423.9439199$
16.12.673...248.1	$x^{16} - 4 x^{15} + 2 x^{14} - 4 x^{13} + 13 x^{12} + 76 x^{11} - 80 x^{10} - 232 x^{9} + 81 x^{8} + 320 x^{7} + 36 x^{6} - 180 x^{5} - 51 x^{4} + 44 x^{3} + 14 x^{2} - 4 x - 1$	$16$	[12,2]	$2^{44}\cdot 337^{3}$	$2$	$20.0337889588$	$123.49444949726063$			?	$C_2^4.C_2\wr C_4$ (as 16T1251)	trivial	$2$	$13$	$52554.9523589$
16.12.673...248.2	$x^{16} - 12 x^{14} - 4 x^{13} + 48 x^{12} + 32 x^{11} - 78 x^{10} - 84 x^{9} + 78 x^{8} + 84 x^{7} - 88 x^{6} + 12 x^{5} + 37 x^{4} - 36 x^{3} + 6 x^{2} + 4 x - 1$	$16$	[12,2]	$2^{44}\cdot 337^{3}$	$2$	$20.0337889588$	$123.49444949726063$			?	$C_2^4.C_2\wr C_4$ (as 16T1251)	trivial	$2$	$13$	$52554.9523589$
16.12.687...000.1	$x^{16} - 10 x^{14} - 4 x^{13} + 26 x^{12} + 40 x^{11} - 14 x^{10} - 108 x^{9} + 21 x^{8} + 136 x^{7} - 82 x^{6} - 72 x^{5} + 82 x^{4} + 4 x^{3} - 24 x^{2} + 4 x + 1$	$16$	[12,2]	$2^{36}\cdot 5^{12}\cdot 41$	$3$	$20.0606030572$				?	$C_2\wr (C_2\times C_4)$ (as 16T1379)	trivial	$2$	$13$	$61163.7570044$
16.12.700...944.1	$x^{16} - 9 x^{14} + 19 x^{12} + 2 x^{10} - 27 x^{8} + 2 x^{6} + 19 x^{4} - 9 x^{2} + 1$	$16$	[12,2]	$2^{16}\cdot 3^{6}\cdot 19^{4}\cdot 103^{4}$	$4$	$20.0839056554$				?	$C_2^8.S_4$ (as 16T1664)	trivial	$2$	$13$	$56100.6192446$
16.12.732...008.1	$x^{16} - 3 x^{15} - 8 x^{14} + 24 x^{13} + 30 x^{12} - 56 x^{11} - 121 x^{10} + 23 x^{9} + 441 x^{8} - 48 x^{7} - 842 x^{6} + 384 x^{5} + 616 x^{4} - 488 x^{3} - 32 x^{2} + 96 x - 16$	$16$	[12,2]	$2^{8}\cdot 17^{15}$	$2$	$20.1400647108$	$40.28012942155011$			?	$C_2^4.C_8$ (as 16T306)	trivial	$2$	$13$	$52724.9468664$
16.12.741...000.1	$x^{16} - 9 x^{14} + 27 x^{12} - 22 x^{10} - 35 x^{8} + 72 x^{6} - 38 x^{4} + 4 x^{2} + 1$	$16$	[12,2]	$2^{8}\cdot 3^{8}\cdot 5^{14}\cdot 269^{2}$	$4$	$20.1554924708$	$390.69514418931874$			?	$C_2^2\wr C_2^2.D_4$ (as 16T1720)	trivial	$2$	$13$	$56179.435226$
16.12.781...000.1	$x^{16} - 8 x^{14} + 19 x^{12} - 19 x^{10} + 36 x^{8} - 81 x^{6} + 69 x^{4} - 17 x^{2} + 1$	$16$	[12,2]	$2^{20}\cdot 5^{8}\cdot 11^{4}\cdot 19^{4}$	$4$	$20.22129981$	$91.43303560529968$			?	$D_4^2:D_4$ (as 16T919)	trivial	$2$	$13$	$65873.4365255$
16.12.813...621.1	$x^{16} - 8 x^{15} + 17 x^{14} + 21 x^{13} - 111 x^{12} + 29 x^{11} + 272 x^{10} - 172 x^{9} - 373 x^{8} + 269 x^{7} + 315 x^{6} - 207 x^{5} - 147 x^{4} + 80 x^{3} + 26 x^{2} - 12 x + 1$	$16$	[12,2]	$53^{2}\cdot 1229^{2}\cdot 1483^{2}\cdot 87181$	$4$	$20.2720411136$	$2901986.41381227$			✓	$C_2^8.S_8$ (as 16T1948)	trivial	$2$	$13$	$54465.5173785$
16.12.823...125.1	$x^{16} - 8 x^{15} + 17 x^{14} + 21 x^{13} - 118 x^{12} + 71 x^{11} + 216 x^{10} - 277 x^{9} - 110 x^{8} + 309 x^{7} - 57 x^{6} - 134 x^{5} + 67 x^{4} + 18 x^{3} - 16 x^{2} + 1$	$16$	[12,2]	$5^{8}\cdot 19\cdot 29^{4}\cdot 79\cdot 1409^{2}$	$5$	$20.2872027261$	$17511.761904502928$			✓	$C_4^4.C_2\wr D_4$ (as 16T1823)	trivial	$2$	$13$	$57519.4700853$
16.12.836...776.1	$x^{16} - 8 x^{14} - 8 x^{13} + 14 x^{12} + 80 x^{11} + 8 x^{10} - 184 x^{9} - 216 x^{8} + 208 x^{7} + 600 x^{6} - 224 x^{5} - 608 x^{4} + 192 x^{3} + 224 x^{2} - 64 x - 16$	$16$	[12,2]	$2^{32}\cdot 41^{7}$	$2$	$20.3073347862$				?	$C_2^7.C_4\wr C_2$ (as 16T1606)	trivial	$2$	$13$	$55946.5260919$
16.12.845...104.1	$x^{16} - 8 x^{15} + 18 x^{14} + 8 x^{13} - 78 x^{12} + 88 x^{11} - 10 x^{10} - 74 x^{9} + 175 x^{8} - 168 x^{7} - 62 x^{6} + 194 x^{5} - 49 x^{4} - 74 x^{3} + 27 x^{2} + 14 x - 1$	$16$	[12,2]	$2^{24}\cdot 41^{6}\cdot 103^{2}$	$3$	$20.3209306097$	$465.105524840795$			?	$C_2^6.D_4$ (as 16T876)	trivial	$2$	$13$	$58260.5632391$
16.12.905...649.1	$x^{16} - 8 x^{15} + 24 x^{14} - 28 x^{13} - 39 x^{12} + 234 x^{11} - 381 x^{10} + 46 x^{9} + 654 x^{8} - 890 x^{7} + 425 x^{6} + 78 x^{5} - 176 x^{4} + 64 x^{3} + 2 x^{2} - 6 x + 1$	$16$	[12,2]	$3^{8}\cdot 19^{4}\cdot 97^{2}\cdot 103^{4}$	$4$	$20.4082046454$	$754.6436245009959$			?	$C_2^8.S_4$ (as 16T1664)	trivial	$2$	$13$	$61811.3534598$
16.12.921...976.1	$x^{16} - 10 x^{14} + 35 x^{12} - 55 x^{10} + 54 x^{8} - 55 x^{6} + 35 x^{4} - 10 x^{2} + 1$	$16$	[12,2]	$2^{16}\cdot 10889^{4}$	$2$	$20.4304059035$				?	$C_2^7:S_4$ (as 16T1538)	trivial	$2$	$13$	$72781.2615074$
16.12.101...064.1	$x^{16} - 2 x^{15} - 13 x^{14} + 20 x^{13} + 73 x^{12} - 56 x^{11} - 265 x^{10} + 26 x^{9} + 617 x^{8} + 88 x^{7} - 744 x^{6} - 200 x^{5} + 400 x^{4} + 240 x^{3} - 136 x^{2} - 64 x + 16$	$16$	[12,2]	$2^{24}\cdot 41^{6}\cdot 113^{2}$	$3$	$20.5576631312$	$487.1605451349802$			?	$C_2^6:C_4\wr C_2$ (as 16T1429)	trivial	$2$	$13$	$63987.1903033$
16.12.115...000.1	$x^{16} - 5 x^{14} - 13 x^{12} + 130 x^{10} - 311 x^{8} + 320 x^{6} - 142 x^{4} + 20 x^{2} + 1$	$16$	[12,2]	$2^{8}\cdot 3^{8}\cdot 5^{12}\cdot 41^{4}$	$4$	$20.7252172944$	$124.73333992172432$			?	$C_2^5.C_2\wr C_2^2$ (as 16T1392)	trivial	$2$	$13$	$67183.1956523$
16.12.118...424.1	$x^{16} - 16 x^{14} + 76 x^{12} - 32 x^{11} - 160 x^{10} + 144 x^{9} + 130 x^{8} - 208 x^{7} + 16 x^{6} + 112 x^{5} - 60 x^{4} - 16 x^{3} + 16 x^{2} - 1$	$16$	[12,2]	$2^{70}$	$1$	$20.7494328744$	$24.94407040380539$			?	$C_2^4:C_8$ (as 16T258)	trivial	$2$	$13$	$120986.534671$
16.12.118...000.1	$x^{16} - 10 x^{14} + 31 x^{12} - 42 x^{10} + 61 x^{8} - 76 x^{6} + 47 x^{4} - 12 x^{2} + 1$	$16$	[12,2]	$2^{32}\cdot 5^{8}\cdot 29^{4}$	$3$	$20.7560397131$	$65.22958500917873$			?	$D_4^2:C_2^2$ (as 16T509)	trivial	$2$	$13$	$70653.7375157$
16.12.118...000.2	$x^{16} - 8 x^{14} + 37 x^{12} - 110 x^{10} + 190 x^{8} - 176 x^{6} + 80 x^{4} - 16 x^{2} + 1$	$16$	[12,2]	$2^{32}\cdot 5^{8}\cdot 29^{4}$	$3$	$20.7560397131$	$65.22958500917873$			✓	$D_4^2:C_2^2$ (as 16T509)	trivial	$2$	$13$	$68808.2956194$
16.12.125...000.1	$x^{16} - 3 x^{14} - 20 x^{12} + 99 x^{10} - 121 x^{8} - 45 x^{6} + 190 x^{4} - 125 x^{2} + 25$	$16$	[12,2]	$2^{8}\cdot 5^{10}\cdot 29^{8}$	$3$	$20.8242922222$	$50.92974429446663$			?	$C_4^2:D_4$ (as 16T406)	trivial	$2$	$13$	$69858.7449293$
16.12.125...000.2	$x^{16} - 3 x^{14} - 22 x^{12} + 82 x^{10} + 41 x^{8} - 430 x^{6} + 530 x^{4} - 225 x^{2} + 25$	$16$	[12,2]	$2^{8}\cdot 5^{10}\cdot 29^{8}$	$3$	$20.8242922222$	$60.56601428024895$			?	$C_2^6.D_4$ (as 16T984)	trivial	$2$	$13$	$71490.0377425$