Number field search results

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

Results (1-50 of 1707 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
16.10.171...875.1	$x^{16} - 4 x^{15} + 2 x^{14} + 11 x^{13} - 22 x^{12} + 31 x^{11} - 39 x^{10} - 30 x^{9} + 189 x^{8} - 211 x^{7} - 4 x^{6} + 166 x^{5} - 112 x^{4} + 3 x^{3} + 28 x^{2} - 11 x + 1$	$16$	[10,3]	$-\,5^{8}\cdot 19^{2}\cdot 29^{4}\cdot 31^{2}\cdot 179$	$5$	$15.927669223$	$3909.922633505681$			?	$C_4^4.C_2\wr D_4$ (as 16T1823)	trivial	$2$	$12$	$4615.91677539$
16.10.282...000.1	$x^{16} - 2 x^{15} - 3 x^{14} + 4 x^{13} + 4 x^{11} + 2 x^{10} - 8 x^{9} + 7 x^{8} - 4 x^{7} + 13 x^{6} + 28 x^{5} - 25 x^{4} - 28 x^{3} + 3 x^{2} + 6 x + 1$	$16$	[10,3]	$-\,2^{24}\cdot 5^{8}\cdot 13^{4}\cdot 151$	$4$	$16.4324338604$				?	$C_2\wr D_4.C_2$ (as 16T1577)	trivial	$2$	$12$	$6176.6543876$
16.10.296...743.1	$x^{16} - 5 x^{15} + 4 x^{14} + 9 x^{13} - 3 x^{12} - 11 x^{11} - 29 x^{10} + 40 x^{9} + 50 x^{8} - 86 x^{7} - 23 x^{6} + 87 x^{5} + 2 x^{4} - 41 x^{3} - 2 x^{2} + 7 x + 1$	$16$	[10,3]	$-\,127\cdot 483345053^{2}$	$2$	$16.4823788524$	$247759.60471997852$			?	$C_2^8.S_8$ (as 16T1948)	trivial	$2$	$12$	$6311.6205878$
16.10.324...451.1	$x^{16} - 2 x^{15} - 9 x^{14} + 21 x^{13} + 27 x^{12} - 69 x^{11} - 54 x^{10} + 71 x^{9} + 53 x^{8} - 10 x^{7} + 25 x^{6} + 33 x^{5} - 31 x^{4} - 47 x^{3} - 12 x^{2} + 3 x + 1$	$16$	[10,3]	$-\,139\cdot 483345053^{2}$	$2$	$16.5756506437$	$259200.6218491769$			?	$C_2^8.S_8$ (as 16T1948)	trivial	$2$	$12$	$6653.89221586$
16.10.345...375.1	$x^{16} - 2 x^{15} - 5 x^{14} + 8 x^{13} + 12 x^{12} + 10 x^{11} - 46 x^{10} - 68 x^{9} + 131 x^{8} + 66 x^{7} - 170 x^{6} + 13 x^{5} + 86 x^{4} - 34 x^{3} - 9 x^{2} + 7 x - 1$	$16$	[10,3]	$-\,5^{8}\cdot 79\cdot 439^{2}\cdot 2411^{2}$	$4$	$16.6406164903$	$20446.991343471538$			?	$C_2^6.S_4^2:D_4$ (as 16T1905)	trivial	$2$	$12$	$7355.48734175$
16.10.349...875.1	$x^{16} - 3 x^{15} - 3 x^{14} + 9 x^{13} + 18 x^{12} - 29 x^{11} - 79 x^{10} + 103 x^{9} + 59 x^{8} - 145 x^{7} + 96 x^{6} + 10 x^{5} - 87 x^{4} + 59 x^{3} - 6 x^{2} - 5 x + 1$	$16$	[10,3]	$-\,5^{8}\cdot 29^{8}\cdot 179$	$3$	$16.6528018921$	$161.1055554597668$			?	$C_2\wr D_4$ (as 16T1461)	trivial	$2$	$12$	$7111.16713508$
16.10.372...000.1	$x^{16} - 8 x^{14} - 2 x^{13} + 27 x^{12} - 6 x^{11} - 41 x^{10} + 58 x^{9} + 23 x^{8} - 96 x^{7} + 20 x^{6} + 42 x^{5} - 56 x^{4} - 8 x^{3} + 34 x^{2} + 12 x + 1$	$16$	[10,3]	$-\,2^{24}\cdot 5^{8}\cdot 13^{4}\cdot 199$	$4$	$16.718378411$				?	$C_2\wr D_4.C_2$ (as 16T1577)	trivial	$2$	$12$	$7256.97550169$
16.10.372...000.2	$x^{16} - 6 x^{15} + 9 x^{14} + 8 x^{13} - 17 x^{12} - 32 x^{11} + 31 x^{10} + 96 x^{9} - 63 x^{8} - 144 x^{7} + 52 x^{6} + 126 x^{5} + x^{4} - 52 x^{3} - 14 x^{2} + 4 x + 1$	$16$	[10,3]	$-\,2^{24}\cdot 5^{8}\cdot 13^{4}\cdot 199$	$4$	$16.718378411$				?	$C_2\wr D_4.C_2$ (as 16T1577)	trivial	$2$	$12$	$7104.27362349$
16.10.391...439.1	$x^{16} - 8 x^{15} + 18 x^{14} + 14 x^{13} - 102 x^{12} + 66 x^{11} + 180 x^{10} - 218 x^{9} - 124 x^{8} + 242 x^{7} + 19 x^{6} - 125 x^{5} + 16 x^{4} + 33 x^{3} - 9 x^{2} - 3 x + 1$	$16$	[10,3]	$-\,17\cdot 263\cdot 1117^{2}\cdot 83791^{2}$	$4$	$16.7709092996$	$646885.7856198419$			✓	$C_2^8.S_8$ (as 16T1948)	trivial	$2$	$12$	$7688.74364309$
16.10.431...824.1	$x^{16} - 3 x^{14} - 12 x^{12} + 26 x^{10} + 42 x^{8} - 33 x^{6} - 14 x^{4} + 10 x^{2} - 1$	$16$	[10,3]	$-\,2^{8}\cdot 17^{14}$	$2$	$16.8716595797$	$43.75967099103622$			?	$C_2\wr C_8$ (as 16T1351)	trivial	$2$	$12$	$7769.72092915$
16.10.500...000.1	$x^{16} - 8 x^{14} + 12 x^{12} + 40 x^{10} - 116 x^{8} + 48 x^{6} + 47 x^{4} + 2 x^{2} - 1$	$16$	[10,3]	$-\,2^{8}\cdot 5^{8}\cdot 29^{8}$	$3$	$17.0293863659$	$44.16876366153594$			?	$C_2\wr D_4$ (as 16T1461)	trivial	$2$	$12$	$8632.13952398$
16.10.573...875.1	$x^{16} - 2 x^{15} - 9 x^{14} + 10 x^{13} + 26 x^{12} - 18 x^{11} - 34 x^{10} + 32 x^{9} + 20 x^{8} - 43 x^{7} - 22 x^{6} + 24 x^{5} + 29 x^{4} - 5 x^{3} - 12 x^{2} + x + 1$	$16$	[10,3]	$-\,5^{8}\cdot 131\cdot 439^{2}\cdot 2411^{2}$	$4$	$17.1750169554$	$26330.039783486845$			?	$C_2^6.S_4^2:D_4$ (as 16T1905)	trivial	$2$	$12$	$9110.69058113$
16.10.608...875.1	$x^{16} - 2 x^{15} - 8 x^{14} + 16 x^{13} + 12 x^{12} - 15 x^{11} - 30 x^{10} - 15 x^{9} + 94 x^{8} - 21 x^{7} - 89 x^{6} + 58 x^{5} + 13 x^{4} - 17 x^{3} + 7 x^{2} - 4 x + 1$	$16$	[10,3]	$-\,5^{8}\cdot 139\cdot 439^{2}\cdot 2411^{2}$	$4$	$17.2387647674$	$27122.09717186339$			?	$C_2^6.S_4^2:D_4$ (as 16T1905)	trivial	$2$	$12$	$10086.9602538$
16.10.729...875.1	$x^{16} - x^{15} - 6 x^{14} + 7 x^{13} + 6 x^{12} - 19 x^{11} + 15 x^{10} + 16 x^{9} - 27 x^{8} + 16 x^{7} + 15 x^{6} - 19 x^{5} + 6 x^{4} + 7 x^{3} - 6 x^{2} - x + 1$	$16$	[10,3]	$-\,5^{8}\cdot 11\cdot 13^{4}\cdot 29^{6}$	$4$	$17.4364124012$	$334.1577356218676$			?	$C_2\wr D_4.D_4$ (as 16T1775)	trivial	$2$	$12$	$11043.7311341$
16.10.828...000.1	$x^{16} - 10 x^{14} + 27 x^{12} - 30 x^{10} - 40 x^{9} + 64 x^{8} + 100 x^{7} - 110 x^{6} - 80 x^{5} + 78 x^{4} + 20 x^{3} - 20 x^{2} + 1$	$16$	[10,3]	$-\,2^{32}\cdot 5^{12}\cdot 79$	$3$	$17.5747512896$				?	$C_2\wr (C_2\times C_4)$ (as 16T1379)	trivial	$2$	$12$	$11299.4400692$
16.10.870...375.1	$x^{16} - x^{15} - 11 x^{14} + 13 x^{13} + 44 x^{12} - 60 x^{11} - 86 x^{10} + 135 x^{9} + 105 x^{8} - 190 x^{7} - 69 x^{6} + 140 x^{5} + 34 x^{4} - 46 x^{3} - 14 x^{2} + 3 x + 1$	$16$	[10,3]	$-\,5^{8}\cdot 199\cdot 439^{2}\cdot 2411^{2}$	$4$	$17.6297452088$	$32452.07011886915$			?	$C_2^6.S_4^2:D_4$ (as 16T1905)	trivial	$2$	$12$	$12243.6429145$
16.10.985...875.1	$x^{16} - 6 x^{15} + 14 x^{14} - 8 x^{13} - 51 x^{12} + 161 x^{11} - 164 x^{10} - 81 x^{9} + 335 x^{8} - 221 x^{7} - 58 x^{6} + 17 x^{5} + 115 x^{4} - 29 x^{3} - 27 x^{2} + 2 x + 1$	$16$	[10,3]	$-\,3^{8}\cdot 5^{12}\cdot 59\cdot 1021^{2}$	$4$	$17.7662021396$	$1421.4350085210183$			?	$C_4^4.C_2\wr C_4$ (as 16T1771)	trivial	$2$	$12$	$12702.5224978$
16.10.128...744.1	$x^{16} - 5 x^{14} + 4 x^{12} + 13 x^{10} - 22 x^{8} + 12 x^{6} - 15 x^{4} + 14 x^{2} - 1$	$16$	[10,3]	$-\,2^{12}\cdot 23^{2}\cdot 2777^{4}$	$3$	$18.0668503055$	$927.0071839089059$			?	$C_4^4.C_2\wr S_4$ (as 16T1879)	trivial	$2$	$12$	$14382.4999839$
16.10.165...000.1	$x^{16} - 6 x^{14} + 5 x^{12} + 28 x^{10} - 53 x^{8} + 10 x^{6} + 17 x^{4} - 2 x^{2} - 1$	$16$	[10,3]	$-\,2^{8}\cdot 5^{8}\cdot 11^{2}\cdot 29^{4}\cdot 139^{2}$	$5$	$18.3506070323$	$1727.1059712424124$			?	$C_4^4.C_2\wr D_4$ (as 16T1823)	trivial	$2$	$12$	$17923.1251114$
16.10.177...375.1	$x^{16} - 7 x^{15} + 16 x^{14} - 6 x^{13} - 37 x^{12} + 100 x^{11} - 141 x^{10} + 6 x^{9} + 314 x^{8} - 377 x^{7} + 31 x^{6} + 222 x^{5} - 167 x^{4} + 42 x^{3} + 12 x^{2} - 9 x + 1$	$16$	[10,3]	$-\,5^{8}\cdot 19^{4}\cdot 31\cdot 103^{4}$	$4$	$18.4328638144$	$550.7585677953634$			?	$C_{2440}.D_6$ (as 16T1759)	trivial	$2$	$12$	$18921.2145658$
16.10.191...131.1	$x^{16} - 3 x^{15} - 8 x^{14} + 24 x^{13} + 13 x^{12} - 39 x^{11} - 19 x^{10} - 11 x^{9} + 67 x^{8} + 20 x^{7} - 43 x^{6} - 7 x^{5} - 13 x^{4} + 22 x^{3} + 2 x^{2} - 6 x + 1$	$16$	[10,3]	$-\,17^{15}\cdot 67$	$2$	$18.5214736866$	$116.56905215178652$			?	$C_2\wr C_8$ (as 16T1351)	trivial	$2$	$12$	$18396.056574$
16.10.202...875.1	$x^{16} - 10 x^{14} - 10 x^{13} + 29 x^{12} + 70 x^{11} + 25 x^{10} - 105 x^{9} - 179 x^{8} - 105 x^{7} + 25 x^{6} + 70 x^{5} + 29 x^{4} - 10 x^{3} - 10 x^{2} + 1$	$16$	[10,3]	$-\,3^{8}\cdot 5^{12}\cdot 29^{4}\cdot 179$	$4$	$18.5862144816$	$417.26662108060015$			✓	$C_2^2\wr C_2^2.C_4$ (as 16T1616)	trivial	$2$	$12$	$19452.3804844$
16.10.202...875.2	$x^{16} - 8 x^{15} + 29 x^{14} - 63 x^{13} + 76 x^{12} - x^{11} - 163 x^{10} + 276 x^{9} - 183 x^{8} - 77 x^{7} + 243 x^{6} - 172 x^{5} + 26 x^{4} + 31 x^{3} - 14 x^{2} - x + 1$	$16$	[10,3]	$-\,3^{8}\cdot 5^{12}\cdot 29^{4}\cdot 179$	$4$	$18.5862144816$	$417.26662108060015$			?	$C_2^2\wr C_2^2.C_4$ (as 16T1616)	trivial	$2$	$12$	$19444.3608236$
16.10.234...896.1	$x^{16} - 8 x^{14} + 14 x^{12} + 11 x^{10} - 27 x^{8} - 8 x^{6} + 13 x^{4} + 4 x^{2} - 1$	$16$	[10,3]	$-\,2^{12}\cdot 31^{2}\cdot 2777^{4}$	$3$	$18.7536876512$	$1076.217447916147$			?	$C_4^4.C_2\wr S_4$ (as 16T1879)	trivial	$2$	$12$	$20209.2421242$
16.10.269...000.1	$x^{16} - 4 x^{14} - 8 x^{13} - 4 x^{12} + 40 x^{11} + 22 x^{10} - 24 x^{9} - 64 x^{8} + 124 x^{6} - 52 x^{5} - 75 x^{4} + 32 x^{3} + 16 x^{2} - 4 x - 1$	$16$	[10,3]	$-\,2^{24}\cdot 5^{8}\cdot 71\cdot 761^{2}$	$4$	$18.9193723485$				?	$C_4^4.C_2\wr C_2^2$ (as 16T1769)	trivial	$2$	$12$	$21486.9252436$
16.10.277...000.1	$x^{16} - 8 x^{15} + 20 x^{14} - 73 x^{12} + 74 x^{11} + 85 x^{10} - 150 x^{9} - 35 x^{8} + 138 x^{7} - 11 x^{6} - 74 x^{5} + 24 x^{4} + 22 x^{3} - 11 x^{2} - 2 x + 1$	$16$	[10,3]	$-\,2^{16}\cdot 5^{8}\cdot 29^{4}\cdot 61\cdot 251$	$5$	$18.952967574$				✓	$C_4^4.C_2\wr D_4$ (as 16T1823)	trivial	$2$	$12$	$22791.9495237$
16.10.277...416.1	$x^{16} - 3 x^{14} + x^{12} - 3 x^{10} + 19 x^{8} - 18 x^{6} - 2 x^{4} + 5 x^{2} - 1$	$16$	[10,3]	$-\,2^{16}\cdot 89^{2}\cdot 731531^{2}$	$3$	$18.9553949782$				✓	$C_2^8.S_8$ (as 16T1948)	trivial	$2$	$12$	$21558.7286155$
16.10.298...875.1	$x^{16} - x^{15} - 13 x^{14} + 65 x^{12} + 56 x^{11} - 119 x^{10} - 220 x^{9} - 21 x^{8} + 220 x^{7} + 179 x^{6} + 48 x^{5} + 30 x^{4} - 5 x^{3} - 32 x^{2} - 8 x + 1$	$16$	[10,3]	$-\,3^{8}\cdot 5^{12}\cdot 179\cdot 1021^{2}$	$4$	$19.0423113951$	$2475.868173489506$			?	$C_4^4.C_2\wr C_4$ (as 16T1771)	trivial	$2$	$12$	$23241.037751$
16.10.298...875.2	$x^{16} - 6 x^{15} + 11 x^{14} + 11 x^{13} - 75 x^{12} + 65 x^{11} + 125 x^{10} - 187 x^{9} - 68 x^{8} + 128 x^{7} + 63 x^{6} - 20 x^{5} - 88 x^{4} + 33 x^{3} + 16 x^{2} - 9 x + 1$	$16$	[10,3]	$-\,3^{8}\cdot 5^{12}\cdot 179\cdot 1021^{2}$	$4$	$19.0423113951$	$2475.868173489506$			?	$C_4^4.C_2\wr C_4$ (as 16T1771)	trivial	$2$	$12$	$23191.2132427$
16.10.302...568.1	$x^{16} - 13 x^{14} - 7 x^{13} + 66 x^{12} + 67 x^{11} - 146 x^{10} - 236 x^{9} + 92 x^{8} + 355 x^{7} + 108 x^{6} - 194 x^{5} - 136 x^{4} + 10 x^{3} + 37 x^{2} + 5 x - 1$	$16$	[10,3]	$-\,2^{6}\cdot 43^{3}\cdot 2777^{4}$	$3$	$19.0570447475$	$2502.8468456946002$			?	$C_4^4.C_2\wr S_4$ (as 16T1879)	trivial	$2$	$12$	$40478.5366453$
16.10.310...000.1	$x^{16} - 6 x^{14} + 5 x^{12} + 18 x^{10} - 13 x^{8} - 25 x^{6} + 17 x^{4} + 3 x^{2} - 1$	$16$	[10,3]	$-\,2^{16}\cdot 5^{8}\cdot 29^{4}\cdot 131^{2}$	$4$	$19.0885706313$				?	$C_4^4.C_2\wr D_4$ (as 16T1823)	trivial	$2$	$12$	$22659.1128438$
16.10.310...000.2	$x^{16} - 10 x^{14} + 38 x^{12} - 68 x^{10} + 57 x^{8} - 17 x^{6} - 5 x^{4} + 6 x^{2} - 1$	$16$	[10,3]	$-\,2^{16}\cdot 5^{8}\cdot 29^{4}\cdot 131^{2}$	$4$	$19.0885706313$				✓	$C_4^4.C_2\wr D_4$ (as 16T1823)	trivial	$2$	$12$	$22888.2089145$
16.10.310...000.3	$x^{16} - 7 x^{14} + 15 x^{12} + 4 x^{10} - 63 x^{8} + 95 x^{6} - 57 x^{4} + 14 x^{2} - 1$	$16$	[10,3]	$-\,2^{16}\cdot 5^{8}\cdot 29^{4}\cdot 131^{2}$	$4$	$19.0885706313$				✓	$C_4^4.C_2\wr D_4$ (as 16T1823)	trivial	$2$	$12$	$24183.3528526$
16.10.329...875.1	$x^{16} - 3 x^{15} - 10 x^{14} + 37 x^{13} + 3 x^{12} - 105 x^{11} + 120 x^{10} - 24 x^{9} - 57 x^{8} - 24 x^{7} + 120 x^{6} - 105 x^{5} + 3 x^{4} + 37 x^{3} - 10 x^{2} - 3 x + 1$	$16$	[10,3]	$-\,5^{8}\cdot 19\cdot 29^{4}\cdot 89^{4}$	$4$	$19.1581735605$	$495.1716873974117$			?	$C_2^2.C_2^2\wr D_4$ (as 16T1719)	trivial	$2$	$12$	$25848.8361573$
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	$2$	$12$	$26938.3958109$
16.10.338...875.1	$x^{16} - 4 x^{15} - 4 x^{14} + 29 x^{13} - 7 x^{12} - 59 x^{11} + 28 x^{10} + 27 x^{9} + 26 x^{8} - 15 x^{7} - 81 x^{6} + 42 x^{5} + 54 x^{4} - 16 x^{3} - 18 x^{2} - 5 x + 1$	$16$	[10,3]	$-\,5^{8}\cdot 19^{4}\cdot 59\cdot 103^{4}$	$4$	$19.1893807159$	$759.8124768651802$			?	$C_{2440}.D_6$ (as 16T1759)	trivial	$2$	$12$	$24730.0932763$
16.10.367...000.1	$x^{16} - 6 x^{14} + 15 x^{12} - 17 x^{10} - 10 x^{8} + 51 x^{6} - 44 x^{4} + 12 x^{2} - 1$	$16$	[10,3]	$-\,2^{16}\cdot 5^{8}\cdot 119851^{2}$	$3$	$19.290576448$				?	$C_2^6.S_4^2:D_4$ (as 16T1905)	trivial	$2$	$12$	$26652.8070317$
16.10.367...000.2	$x^{16} + 3 x^{14} - 6 x^{12} - 18 x^{10} + 20 x^{8} + 21 x^{6} - 29 x^{4} + 10 x^{2} - 1$	$16$	[10,3]	$-\,2^{16}\cdot 5^{8}\cdot 119851^{2}$	$3$	$19.290576448$				?	$C_2^6.S_4^2:D_4$ (as 16T1905)	trivial	$2$	$12$	$25005.6643712$
16.10.367...000.3	$x^{16} - 9 x^{14} + 29 x^{12} - 38 x^{10} + 10 x^{8} + 22 x^{6} - 24 x^{4} + 9 x^{2} - 1$	$16$	[10,3]	$-\,2^{16}\cdot 5^{8}\cdot 119851^{2}$	$3$	$19.290576448$				✓	$C_2^6.S_4^2:D_4$ (as 16T1905)	trivial	$2$	$12$	$24986.2853074$
16.10.367...000.4	$x^{16} - 8 x^{14} + 25 x^{12} - 41 x^{10} + 43 x^{8} - 31 x^{6} + 8 x^{4} + 5 x^{2} - 1$	$16$	[10,3]	$-\,2^{16}\cdot 5^{8}\cdot 119851^{2}$	$3$	$19.290576448$				✓	$C_2^6.S_4^2:D_4$ (as 16T1905)	trivial	$2$	$12$	$25996.4717222$
16.10.389...088.1	$x^{16} - x^{15} - 14 x^{14} + 22 x^{13} + 48 x^{12} - 112 x^{11} - 5 x^{10} + 159 x^{9} - 116 x^{8} + 29 x^{7} - 24 x^{6} - 39 x^{5} + 143 x^{4} - 143 x^{3} + 66 x^{2} - 14 x + 1$	$16$	[10,3]	$-\,2^{8}\cdot 19^{4}\cdot 47^{3}\cdot 103^{4}$	$4$	$19.3611456735$	$2670.9840751462266$			?	$C_2^7.C_2\wr S_4$ (as 16T1851)	trivial	$2$	$12$	$25237.7683428$
16.10.463...651.1	$x^{16} - 5 x^{15} + 2 x^{14} + 28 x^{13} - 32 x^{12} - 88 x^{11} + 157 x^{10} + 116 x^{9} - 389 x^{8} + 108 x^{7} + 357 x^{6} - 311 x^{5} - 30 x^{4} + 109 x^{3} - 18 x^{2} - 5 x + 1$	$16$	[10,3]	$-\,7^{2}\cdot 19\cdot 163^{8}$	$3$	$19.5728089628$	$344.1260557264001$			?	$C_4^4.C_2\wr A_4$ (as 16T1845)	trivial	$2$	$12$	$30205.9184754$
16.10.497...000.1	$x^{16} - 2 x^{15} - 3 x^{14} - 4 x^{13} + 21 x^{12} + 8 x^{11} + x^{10} - 32 x^{9} - 57 x^{8} + 32 x^{7} + 40 x^{6} + 16 x^{5} + 10 x^{4} - 20 x^{3} - 13 x^{2} + 2 x + 1$	$16$	[10,3]	$-\,2^{24}\cdot 5^{4}\cdot 7^{5}\cdot 41^{4}$	$4$	$19.6596868676$				?	$C_2^7.C_2\wr D_4$ (as 16T1778)	trivial	$2$	$12$	$33221.502519$
16.10.573...000.1	$x^{16} - 2 x^{15} - 11 x^{14} + 16 x^{13} + 57 x^{12} - 54 x^{11} - 147 x^{10} + 96 x^{9} + 142 x^{8} - 58 x^{7} - 46 x^{6} + 102 x^{5} - 61 x^{4} - 70 x^{3} + 17 x^{2} + 10 x - 1$	$16$	[10,3]	$-\,2^{24}\cdot 5^{8}\cdot 151\cdot 761^{2}$	$4$	$19.8330331126$				?	$C_4^4.C_2\wr C_2^2$ (as 16T1769)	trivial	$2$	$12$	$36352.7124124$
16.10.672...875.1	$x^{16} - 6 x^{15} + 10 x^{14} + 9 x^{13} - 75 x^{12} + 132 x^{11} - 13 x^{10} - 297 x^{9} + 296 x^{8} + 225 x^{7} - 338 x^{6} - 122 x^{5} + 191 x^{4} + 43 x^{3} - 72 x^{2} + 16 x - 1$	$16$	[10,3]	$-\,5^{8}\cdot 119851^{3}$	$2$	$20.0322768586$	$774.1156244386235$			?	$\GL(2,3)\wr C_2$ (as 16T1651)	trivial	$2$	$12$	$33628.6708295$
16.10.672...875.2	$x^{16} - x^{15} - 11 x^{14} + 6 x^{13} + 38 x^{12} - 18 x^{11} - 51 x^{10} + 48 x^{9} + 63 x^{8} - 27 x^{7} - 60 x^{6} - 33 x^{5} - 23 x^{4} - 10 x^{3} + 15 x^{2} + 5 x - 1$	$16$	[10,3]	$-\,5^{8}\cdot 119851^{3}$	$2$	$20.0322768586$	$774.1156244386235$			?	$\GL(2,3)\wr C_2$ (as 16T1651)	trivial	$2$	$12$	$33628.6708295$
16.10.724...000.1	$x^{16} - 4 x^{15} - 4 x^{14} + 36 x^{13} - 32 x^{12} - 24 x^{11} - 12 x^{10} + 26 x^{9} + 87 x^{8} - 24 x^{7} - 48 x^{6} - 42 x^{5} + 15 x^{4} + 34 x^{3} - x^{2} - 6 x - 1$	$16$	[10,3]	$-\,2^{24}\cdot 5^{8}\cdot 191\cdot 761^{2}$	$4$	$20.126472454$	$2411.232050218311$			?	$C_4^4.C_2\wr C_2^2$ (as 16T1769)	trivial	$2$	$12$	$43517.2044704$
16.10.732...008.1	$x^{16} - 34 x^{12} + 102 x^{10} - 51 x^{8} - 136 x^{6} + 153 x^{4} - 17 x^{2} - 17$	$16$	[10,3]	$-\,2^{8}\cdot 17^{15}$	$2$	$20.1400647108$	$52.236865100328075$			?	$C_2\wr C_8$ (as 16T1351)	trivial	$2$	$12$	$38695.4736663$
16.10.744...875.1	$x^{16} - 3 x^{15} - 4 x^{14} + 19 x^{13} - 7 x^{12} - 36 x^{11} + 53 x^{10} + 6 x^{9} - 74 x^{8} + 51 x^{7} + 16 x^{6} - 61 x^{5} + 15 x^{4} + 23 x^{3} - 5 x^{2} - 4 x + 1$	$16$	[10,3]	$-\,3^{12}\cdot 5^{12}\cdot 179^{3}$	$3$	$20.1594364596$	$101.97529252013409$			?	$C_2^4.C_2\wr C_4$ (as 16T1251)	trivial	$2$	$12$	$41458.7481628$
16.10.744...875.2	$x^{16} - 2 x^{15} - 3 x^{14} + 23 x^{13} - 18 x^{12} - 78 x^{11} + 142 x^{10} + 92 x^{9} - 471 x^{8} + 100 x^{7} + 781 x^{6} - 429 x^{5} - 567 x^{4} + 445 x^{3} + 105 x^{2} - 151 x + 31$	$16$	[10,3]	$-\,3^{12}\cdot 5^{12}\cdot 179^{3}$	$3$	$20.1594364596$	$101.97529252013409$			?	$C_2^4.C_2\wr C_4$ (as 16T1251)	trivial	$2$	$12$	$41458.7481628$