Number field search results

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

Results (1-50 of 10815 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
16.0.153...624.2	$x^{16} + 15 x^{14} + 86 x^{12} + 242 x^{10} + 360 x^{8} + 281 x^{6} + 107 x^{4} + 18 x^{2} + 1$	$16$	[0,8]	$2^{16}\cdot 483345053^{2}$	$2$	$24.3535431835$		✓		✓	$C_2^7.S_8$ (as 16T1945)	$[12]$	$2$	$7$	$2009.96156812$
16.0.229...376.1	$x^{16} - 31 x^{12} + 880 x^{8} - 2511 x^{4} + 6561$	$16$	[0,8]	$2^{32}\cdot 3^{8}\cdot 13^{8}$	$3$	$24.9799919936$	$24.979991993593593$	✓	✓		$C_2^4$ (as 16T3)	$[12]$	$24$	$7$	$68660.2329617$
16.0.304...000.2	$x^{16} + 14 x^{14} + 144 x^{12} + 616 x^{10} + 1904 x^{8} + 2464 x^{6} + 2304 x^{4} + 896 x^{2} + 256$	$16$	[0,8]	$2^{24}\cdot 3^{8}\cdot 5^{8}\cdot 29^{4}$	$4$	$25.420853188989163$	$58.9915248150105$	✓		?	$C_2^2 \times D_4$ (as 16T25)	$[12]$	$6$	$7$	$9192.496540646083$
16.0.320...625.1	$x^{16} - 2 x^{15} + 11 x^{14} + 4 x^{13} + 38 x^{12} + 59 x^{11} + 108 x^{10} + 326 x^{9} + 108 x^{8} + 649 x^{7} + 983 x^{6} - 289 x^{5} + 1773 x^{4} + 106 x^{3} + 51 x^{2} - 3 x + 1$	$16$	[0,8]	$3^{8}\cdot 5^{10}\cdot 29^{8}$	$3$	$25.5044450995$	$31.187971562966524$				$C_2^4:C_4$ (as 16T92)	$[12]$	$6$	$7$	$27482.5974391$
16.0.375...625.1	$x^{16} + 12 x^{14} - 8 x^{13} + 121 x^{12} - 52 x^{11} + 266 x^{10} - 5 x^{9} + 388 x^{8} + 24 x^{7} + 295 x^{6} + 102 x^{5} + 142 x^{4} + 21 x^{3} + 14 x^{2} - x + 1$	$16$	[0,8]	$3^{8}\cdot 5^{8}\cdot 19^{4}\cdot 103^{4}$	$4$	$25.7598503648185$	$171.3330090788112$	✓			$C_2^2\times S_4$ (as 16T182)	$[12]$	$6$	$7$	$10491.09861139063$
16.0.450...000.1	$x^{16} + 12 x^{14} + 114 x^{12} + 312 x^{10} + 608 x^{8} + 624 x^{6} + 456 x^{4} + 96 x^{2} + 16$	$16$	[0,8]	$2^{44}\cdot 3^{8}\cdot 5^{8}$	$3$	$26.0542224973$	$26.054222497305222$	✓	✓		$C_4\times C_2^2$ (as 16T2)	$[20]$	$6$	$7$	$12198.9512748$
16.0.696...696.1	$x^{16} + 10 x^{14} - 8 x^{13} + 77 x^{12} - 52 x^{11} + 222 x^{10} - 140 x^{9} + 458 x^{8} - 260 x^{7} + 408 x^{6} - 228 x^{5} + 263 x^{4} - 120 x^{3} + 52 x^{2} - 8 x + 1$	$16$	[0,8]	$2^{32}\cdot 3^{8}\cdot 223^{4}$	$3$	$26.772987452043296$	$123.03553133807165$	✓			$C_2^2\times S_4$ (as 16T182)	$[12]$	$6$	$7$	$14766.512466960705$
16.0.698...000.1	$x^{16} + 15 x^{14} + 87 x^{12} + 251 x^{10} + 384 x^{8} + 306 x^{6} + 117 x^{4} + 19 x^{2} + 1$	$16$	[0,8]	$2^{16}\cdot 5^{8}\cdot 1652141^{2}$	$3$	$26.7775529307$		✓		?	$C_2^6.S_4\wr C_2$ (as 16T1868)	$[12]$	$2$	$7$	$3480.43209112$
16.0.742...000.1	$x^{16} + 24 x^{12} + 90 x^{10} + 206 x^{8} + 840 x^{6} + 2049 x^{4} + 2250 x^{2} + 961$	$16$	[0,8]	$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 29^{4}$	$4$	$26.8792796542$	$62.37594312593305$	✓		?	$C_2 \times (C_2^2:C_4)$ (as 16T21)	$[2, 8]$	$2$	$7$	$3121.7160225$
16.0.742...000.6	$x^{16} + 28 x^{14} + 280 x^{12} + 1238 x^{10} + 2394 x^{8} + 1852 x^{6} + 565 x^{4} + 62 x^{2} + 1$	$16$	[0,8]	$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 29^{4}$	$4$	$26.879279654178564$	$62.37594312593305$	✓		?	$C_2 \times (C_2^2:C_4)$ (as 16T21)	$[4, 4]$	$4$	$7$	$6317.464617091162$
16.0.742...000.7	$x^{16} - 6 x^{15} + 25 x^{14} - 60 x^{13} + 174 x^{12} - 246 x^{11} + 1007 x^{10} - 930 x^{9} + 3521 x^{8} - 8856 x^{7} + 15857 x^{6} - 15762 x^{5} + 12234 x^{4} - 4482 x^{3} + 1651 x^{2} - 528 x + 121$	$16$	[0,8]	$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 29^{4}$	$4$	$26.879279654178564$	$62.37594312593305$	✓		?	$C_2 \times (C_2^2:C_4)$ (as 16T21)	$[2, 8]$	$10$	$7$	$25605.136330853085$
16.0.742...000.9	$x^{16} + 15 x^{14} + 155 x^{12} + 850 x^{10} + 3375 x^{8} + 6250 x^{6} + 8250 x^{4} + 2500 x^{2} + 625$	$16$	[0,8]	$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 29^{4}$	$4$	$26.879279654178564$	$62.37594312593305$	✓		?	$C_2 \times (C_2^2:C_4)$ (as 16T21)	$[2, 8]$	$6$	$7$	$12061.717131770418$
16.0.742...000.11	$x^{16} + 11 x^{14} + 65 x^{12} + 354 x^{10} + 1574 x^{8} + 4674 x^{6} + 10385 x^{4} + 15851 x^{2} + 14641$	$16$	[0,8]	$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 29^{4}$	$4$	$26.879279654178564$	$62.37594312593305$	✓			$C_2^2 \times D_4$ (as 16T25)	$[4, 4]$	$12$	$7$	$61316.45021717212$
16.0.742...000.12	$x^{16} + 10 x^{14} + 61 x^{12} + 335 x^{10} + 846 x^{8} + 3445 x^{6} + 14551 x^{4} + 12635 x^{2} + 130321$	$16$	[0,8]	$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 29^{4}$	$4$	$26.879279654178564$	$62.37594312593305$	✓		?	$C_2 \times (C_2^2:C_4)$ (as 16T21)	$[4, 4]$	$20$	$7$	$65327.82253203762$
16.0.742...000.13	$x^{16} + 3 x^{14} - 25 x^{12} - 362 x^{10} - 381 x^{8} + 2842 x^{6} + 25230 x^{4} + 195112 x^{2} + 707281$	$16$	[0,8]	$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 29^{4}$	$4$	$26.879279654178564$	$62.37594312593305$	✓		?	$C_2 \times (C_2^2:C_4)$ (as 16T21)	$[2, 8]$	$30$	$7$	$49350.73567008229$
16.0.109...000.1	$x^{16} - 8 x^{15} + 36 x^{14} - 112 x^{13} + 270 x^{12} - 528 x^{11} + 811 x^{10} - 931 x^{9} + 795 x^{8} - 542 x^{7} + 499 x^{6} - 687 x^{5} + 1228 x^{4} - 1480 x^{3} + 1209 x^{2} - 561 x + 911$	$16$	[0,8]	$2^{12}\cdot 5^{8}\cdot 13^{8}\cdot 17^{4}$	$4$	$27.5322310453$	$94.02127418834527$	✓			$D_4:D_4$ (as 16T115)	$[12]$	$2$	$7$	$7679.94606709$
16.0.113...000.1	$x^{16} + 16 x^{14} + 96 x^{12} + 282 x^{10} + 441 x^{8} + 367 x^{6} + 151 x^{4} + 26 x^{2} + 1$	$16$	[0,8]	$2^{16}\cdot 5^{8}\cdot 2108389^{2}$	$3$	$27.6063405143$		✓		✓	$C_2^6.S_4\wr C_2$ (as 16T1868)	$[12]$	$2$	$7$	$3741.36490691$
16.0.114...625.3	$x^{16} - 5 x^{15} + 23 x^{14} - 40 x^{13} + 115 x^{12} - 42 x^{11} + 462 x^{10} + 340 x^{9} + 1515 x^{8} + 1563 x^{7} + 3106 x^{6} + 2475 x^{5} + 2795 x^{4} + 1247 x^{3} + 922 x^{2} + 143 x + 121$	$16$	[0,8]	$5^{8}\cdot 29^{6}\cdot 149^{4}$	$3$	$27.6172746196$	$341.09600651156995$			?	$C_2^6.D_4$ (as 16T1025)	$[2, 8]$	$2$	$7$	$4867.1752855$
16.0.121...576.1	$x^{16} + 16 x^{14} + 104 x^{12} + 352 x^{10} + 660 x^{8} + 672 x^{6} + 336 x^{4} + 64 x^{2} + 1$	$16$	[0,8]	$2^{64}\cdot 3^{8}$	$2$	$27.7128129211$	$27.712812921102035$	✓	✓	✓	$C_8\times C_2$ (as 16T5)	$[3, 6]$	$2$	$7$	$5982.15532136$
16.0.121...576.2	$x^{16} + 6561$	$16$	[0,8]	$2^{64}\cdot 3^{8}$	$2$	$27.7128129211$	$27.712812921102035$	✓	✓	?	$C_8\times C_2$ (as 16T5)	$[3, 6]$	$16$	$7$	$95624.3098505$
16.0.121...000.3	$x^{16} + 14 x^{14} - 8 x^{13} + 153 x^{12} - 64 x^{11} + 550 x^{10} - 44 x^{9} + 1401 x^{8} - 184 x^{7} + 1382 x^{6} - 400 x^{5} + 1048 x^{4} - 208 x^{3} + 200 x^{2} + 32 x + 16$	$16$	[0,8]	$2^{24}\cdot 3^{8}\cdot 5^{8}\cdot 41^{4}$	$4$	$27.71957626826106$	$70.14271166700073$	✓			$C_2^2 \times D_4$ (as 16T25)	$[2, 12]$	$6$	$7$	$19190.615905515995$
16.0.125...625.1	$x^{16} - x^{15} + 6 x^{14} - 17 x^{13} + 17 x^{12} + 49 x^{11} - 78 x^{10} + 833 x^{9} - 2129 x^{8} + 4998 x^{7} - 2808 x^{6} + 10584 x^{5} + 22032 x^{4} - 132192 x^{3} + 279936 x^{2} - 279936 x + 1679616$	$16$	[0,8]	$3^{8}\cdot 5^{12}\cdot 23^{8}$	$3$	$27.7748708771$	$27.77487087706129$	✓	✓		$C_4\times C_2^2$ (as 16T2)	$[15]$	$30$	$7$	$93215.7577208$
16.0.130...576.1	$x^{16} + 18 x^{14} + 125 x^{12} + 427 x^{10} + 758 x^{8} + 681 x^{6} + 271 x^{4} + 31 x^{2} + 1$	$16$	[0,8]	$2^{16}\cdot 3^{4}\cdot 89^{2}\cdot 1327^{4}$	$4$	$27.842087300403026$	$1190.4772152376543$	✓		?	$C_2^5:S_4$ (as 16T1045)	$[3, 6]$	$4$	$7$	$7729.95963966061$
16.0.136...296.3	$x^{16} + 70 x^{12} + 216 x^{10} + 441 x^{8} + 168 x^{6} + 328 x^{4} + 96 x^{2} + 16$	$16$	[0,8]	$2^{44}\cdot 3^{12}\cdot 11^{4}$	$3$	$27.926827368053324$	$50.859228940075724$	✓		?	$C_2^2\wr C_2$ (as 16T39)	$[12]$	$2$	$7$	$20146.257776593025$
16.0.137...000.1	$x^{16} - 4 x^{14} + 56 x^{12} - 294 x^{10} + 1544 x^{8} - 12936 x^{6} + 63833 x^{4} - 109540 x^{2} + 59536$	$16$	[0,8]	$2^{16}\cdot 3^{8}\cdot 5^{8}\cdot 13^{8}$	$4$	$27.9284800875$	$27.92848008753788$	✓	✓		$C_2^4$ (as 16T3)	$[4, 4]$	$12$	$7$	$115751.484499$
16.0.138...625.2	$x^{16} - 2 x^{15} + 3 x^{14} + 5 x^{13} + 23 x^{12} - 15 x^{11} + 55 x^{10} + 43 x^{9} + x^{8} - 387 x^{7} + 401 x^{6} + 1367 x^{5} + 5089 x^{4} + 5471 x^{3} + 6651 x^{2} + 3764 x + 6091$	$16$	[0,8]	$5^{8}\cdot 29^{12}$	$2$	$27.9436736496$	$27.943673649584856$	✓	✓		$C_2^2 : C_4$ (as 16T10)	$[3, 6]$	$2$	$7$	$3793.72993285$
16.0.140...000.1	$x^{16} - 4 x^{14} + 76 x^{12} + 68 x^{10} + 42 x^{8} - 68 x^{6} + 76 x^{4} + 4 x^{2} + 1$	$16$	[0,8]	$2^{38}\cdot 5^{4}\cdot 13^{8}$	$3$	$27.967935986804065$	$41.821818991140574$				$C_2^4.C_2^4$ (as 16T494)	$[12]$	$2$	$7$	$32638.91392566931$
16.0.140...625.2	$x^{16} - 6 x^{15} + 31 x^{14} - 99 x^{13} + 260 x^{12} - 480 x^{11} + 725 x^{10} - 732 x^{9} + 857 x^{8} - 522 x^{7} + 763 x^{6} - 60 x^{5} + 442 x^{4} + 198 x^{3} + 216 x^{2} + 81 x + 81$	$16$	[0,8]	$5^{12}\cdot 13^{8}\cdot 29^{4}$	$3$	$27.9768412731$	$64.92293999494403$				$C_2^4.D_4$ (as 16T210)	$[14]$	$2$	$7$	$20843.5189096$
16.0.140...625.3	$x^{16} - 2 x^{15} - 22 x^{14} + 36 x^{13} + 246 x^{12} - 388 x^{11} - 1377 x^{10} + 1833 x^{9} + 5767 x^{8} - 7290 x^{7} - 11463 x^{6} + 13939 x^{5} + 9762 x^{4} - 26328 x^{3} + 10961 x^{2} + 64805 x + 36451$	$16$	[0,8]	$5^{12}\cdot 13^{8}\cdot 29^{4}$	$3$	$27.976841273122655$	$64.92293999494403$	✓			$C_2 \times (C_2^2:C_4)$ (as 16T21)	$[14]$	$10$	$7$	$25449.021741450248$
16.0.152...625.1	$x^{16} - x^{15} + 14 x^{14} + 13 x^{13} + 136 x^{12} + 70 x^{11} + 383 x^{10} + 127 x^{9} + 764 x^{8} + 154 x^{7} + 737 x^{6} + 32 x^{5} + 501 x^{4} + 18 x^{3} + 104 x^{2} - 8 x + 16$	$16$	[0,8]	$3^{8}\cdot 5^{8}\cdot 2777^{4}$	$3$	$28.11509785818509$	$204.09556585090232$	✓			$C_2^2\times S_4$ (as 16T182)	$[16]$	$6$	$7$	$18105.566479828743$
16.0.154...336.1	$x^{16} + 8 x^{14} + 100 x^{12} + 448 x^{10} + 945 x^{8} + 896 x^{6} + 400 x^{4} + 64 x^{2} + 16$	$16$	[0,8]	$2^{48}\cdot 3^{8}\cdot 17^{4}$	$3$	$28.1360317052$	$57.1314274283428$	✓		?	$C_2 \times (C_2^2:C_4)$ (as 16T21)	$[2, 12]$	$2$	$7$	$11964.3106427$
16.0.154...336.3	$x^{16} + 8 x^{14} + 48 x^{12} + 112 x^{10} + 191 x^{8} + 112 x^{6} + 48 x^{4} + 8 x^{2} + 1$	$16$	[0,8]	$2^{48}\cdot 3^{8}\cdot 17^{4}$	$3$	$28.136031705245692$	$57.1314274283428$	✓		?	$C_2 \times (C_2^2:C_4)$ (as 16T21)	$[2, 6]$	$6$	$7$	$25351.92100477615$
16.0.154...336.5	$x^{16} + 24 x^{14} + 212 x^{12} + 872 x^{10} + 1815 x^{8} + 1928 x^{6} + 996 x^{4} + 200 x^{2} + 1$	$16$	[0,8]	$2^{48}\cdot 3^{8}\cdot 17^{4}$	$3$	$28.136031705245692$	$57.1314274283428$	✓		?	$C_2 \times (C_2^2:C_4)$ (as 16T21)	$[24]$	$2$	$7$	$4536.179004440082$
16.0.154...336.6	$x^{16} - 8 x^{14} + 32 x^{12} + 16 x^{10} + 1519 x^{8} - 11536 x^{6} + 43808 x^{4} + 296 x^{2} + 1$	$16$	[0,8]	$2^{48}\cdot 3^{8}\cdot 17^{4}$	$3$	$28.136031705245692$	$57.1314274283428$	✓		?	$C_2 \times (C_2^2:C_4)$ (as 16T21)	$[2, 6]$	$16$	$7$	$94946.71365869112$
16.0.154...336.8	$x^{16} - 16 x^{13} - 62 x^{12} - 24 x^{11} + 428 x^{10} + 1368 x^{9} + 867 x^{8} - 8936 x^{7} - 15632 x^{6} + 18528 x^{5} + 75146 x^{4} - 40064 x^{3} - 94396 x^{2} - 4504 x + 77074$	$16$	[0,8]	$2^{48}\cdot 3^{8}\cdot 17^{4}$	$3$	$28.136031705245692$	$57.1314274283428$	✓		?	$C_2 \times (C_2^2:C_4)$ (as 16T21)	$[2, 6]$	$8$	$7$	$91805.58611199878$
16.0.154...336.9	$x^{16} - 8 x^{14} + 32 x^{12} - 528 x^{10} + 1823 x^{8} + 8976 x^{6} + 9248 x^{4} + 39304 x^{2} + 83521$	$16$	[0,8]	$2^{48}\cdot 3^{8}\cdot 17^{4}$	$3$	$28.136031705245692$	$57.1314274283428$	✓			$C_2^2 \times D_4$ (as 16T25)	$[24]$	$24$	$7$	$78767.82982480543$
16.0.161...000.5	$x^{16} + 10 x^{14} + 78 x^{12} + 200 x^{10} + 383 x^{8} + 200 x^{6} + 78 x^{4} + 10 x^{2} + 1$	$16$	[0,8]	$2^{32}\cdot 3^{8}\cdot 5^{8}\cdot 11^{4}$	$4$	$28.2132938467896$	$61.10256790565329$	✓			$C_2^2 \times D_4$ (as 16T25)	$[2, 12]$	$6$	$7$	$17367.305933381453$
16.0.171...000.1	$x^{16} + 30 x^{14} + 260 x^{12} + 1050 x^{10} + 2270 x^{8} + 2700 x^{6} + 1675 x^{4} + 450 x^{2} + 25$	$16$	[0,8]	$2^{32}\cdot 3^{8}\cdot 5^{14}$	$3$	$28.3282256058$	$40.062160849652294$	✓		?	$C_2 \times (C_8:C_2)$ (as 16T15)	$[2, 10]$	$2$	$7$	$3121.7160225$
16.0.173...625.1	$x^{16} - 6 x^{15} + 31 x^{14} - 89 x^{13} + 211 x^{12} - 330 x^{11} + 382 x^{10} - 219 x^{9} - 49 x^{8} + 183 x^{7} - 132 x^{6} + 10 x^{5} + 41 x^{4} - 27 x^{3} + 14 x^{2} - 2 x + 1$	$16$	[0,8]	$5^{8}\cdot 29^{8}\cdot 941^{2}$	$3$	$28.3388814252$	$369.3846233940985$				$C_2\wr D_4$ (as 16T1439)	$[20]$	$2$	$7$	$17466.7191576$
16.0.173...625.2	$x^{16} - 2 x^{15} + 10 x^{14} - 24 x^{13} + 57 x^{12} - 74 x^{11} + 170 x^{10} + 95 x^{9} + 542 x^{8} + 626 x^{7} + 2311 x^{6} - 4 x^{5} + 5166 x^{4} - 985 x^{3} + 3100 x^{2} - 375 x + 625$	$16$	[0,8]	$5^{8}\cdot 29^{8}\cdot 941^{2}$	$3$	$28.3388814252$	$369.3846233940985$	✓			$C_2^4:D_4$ (as 16T364)	$[20]$	$2$	$7$	$3793.72993285$
16.0.174...625.1	$x^{16} - x^{15} - x^{14} + 12 x^{13} - 26 x^{12} + 46 x^{11} + 33 x^{10} - 217 x^{9} + 579 x^{8} + 434 x^{7} + 132 x^{6} - 368 x^{5} - 416 x^{4} - 384 x^{3} - 64 x^{2} + 128 x + 256$	$16$	[0,8]	$3^{8}\cdot 5^{8}\cdot 13^{8}\cdot 17^{4}$	$4$	$28.3549924527$	$57.57603668193913$	✓			$C_2^2 \times D_4$ (as 16T25)	$[12]$	$6$	$7$	$197672.1559503842$
16.0.191...424.1	$x^{16} - 4 x^{15} + 16 x^{14} - 52 x^{13} + 143 x^{12} - 316 x^{11} + 724 x^{10} - 1252 x^{9} + 2239 x^{8} - 3192 x^{7} + 4490 x^{6} - 4468 x^{5} + 5011 x^{4} - 2840 x^{3} + 1800 x^{2} - 932 x + 3929$	$16$	[0,8]	$2^{32}\cdot 41^{6}\cdot 97^{2}$	$3$	$28.5233416817$	$759.0864687965134$	✓		?	$C_2^6.D_4$ (as 16T876)	$[24]$	$2$	$7$	$2873.19936942$
16.0.193...936.1	$x^{16} - 3 x^{15} + 13 x^{14} - 46 x^{13} + 117 x^{12} - 272 x^{11} + 625 x^{10} - 1107 x^{9} + 1821 x^{8} - 2943 x^{7} + 4178 x^{6} - 5032 x^{5} + 7019 x^{4} - 8546 x^{3} + 8581 x^{2} - 6446 x + 3571$	$16$	[0,8]	$2^{8}\cdot 17^{14}\cdot 67^{2}$	$3$	$28.5375808154$	$328.4601598993469$	✓		?	$C_2^6:C_8$ (as 16T817)	$[2, 10]$	$2$	$7$	$3640.01221338$
16.0.196...696.1	$x^{16} - 49 x^{12} + 2145 x^{8} - 12544 x^{4} + 65536$	$16$	[0,8]	$2^{32}\cdot 3^{8}\cdot 17^{8}$	$3$	$28.5657137142$	$28.5657137141714$	✓	✓		$C_2^4$ (as 16T3)	$[4, 4]$	$24$	$7$	$148181.522325$
16.0.203...000.1	$x^{16} + 8 x^{14} - 4 x^{13} + 77 x^{12} - 224 x^{11} + 816 x^{10} - 2152 x^{9} + 5580 x^{8} - 10592 x^{7} + 18568 x^{6} - 26792 x^{5} + 32902 x^{4} - 31104 x^{3} + 21608 x^{2} - 8692 x + 1681$	$16$	[0,8]	$2^{32}\cdot 3^{4}\cdot 5^{12}\cdot 7^{4}$	$4$	$28.6313824549$	$72.88776625115409$	✓		?	$C_4^2:C_2^2$ (as 16T68)	$[2, 6]$	$10$	$7$	$36969.9190932$
16.0.214...656.1	$x^{16} + 28 x^{14} + 234 x^{12} + 876 x^{10} + 1695 x^{8} + 1804 x^{6} + 1066 x^{4} + 328 x^{2} + 41$	$16$	[0,8]	$2^{40}\cdot 41^{7}$	$2$	$28.7189082702$	$173.38773074713592$	✓		?	$C_8\wr C_2$ (as 16T289)	$[3, 6]$	$2$	$7$	$2873.19936942$
16.0.229...976.1	$x^{16} + 799 x^{8} + 6561$	$16$	[0,8]	$2^{48}\cdot 13^{8}$	$2$	$28.8444102037$	$28.844410203711913$	✓	✓	?	$C_4\times C_2^2$ (as 16T2)	$[15]$	$16$	$7$	$108889.885552$
16.0.236...000.1	$x^{16} - 2 x^{15} + 11 x^{14} - 14 x^{13} + 52 x^{12} + 86 x^{11} + 191 x^{10} + 178 x^{9} + 411 x^{8} + 316 x^{7} + 398 x^{6} + 256 x^{5} + 256 x^{4} - 64 x^{3} + 24 x^{2} + 16$	$16$	[0,8]	$2^{24}\cdot 5^{8}\cdot 41^{4}\cdot 113^{2}$	$4$	$28.897532795381085$	$430.4880950734875$	✓			$D_4^2:C_2^2$ (as 16T509)	$[12]$	$2$	$7$	$19190.615905515995$
16.0.250...656.1	$x^{16} - 13 x^{14} + 129 x^{12} - 494 x^{10} + 1430 x^{8} - 494 x^{6} + 129 x^{4} - 13 x^{2} + 1$	$16$	[0,8]	$2^{16}\cdot 3^{8}\cdot 17^{12}$	$3$	$29.0019576516$	$29.001957651613843$	✓	✓		$C_4\times C_2^2$ (as 16T2)	$[20]$	$12$	$7$	$165082.730127$
16.0.256...000.1	$x^{16} - 6 x^{15} + 37 x^{14} - 128 x^{13} + 398 x^{12} - 798 x^{11} + 1482 x^{10} - 1784 x^{9} + 2635 x^{8} - 2088 x^{7} + 2818 x^{6} - 448 x^{5} + 1016 x^{4} + 112 x^{3} + 128 x^{2} + 16$	$16$	[0,8]	$2^{24}\cdot 5^{12}\cdot 89^{4}$	$3$	$29.048251658$	$89.22108495136814$				$C_2^4.D_4$ (as 16T210)	$[14]$	$2$	$7$	$12304.4930513$