Number field search results

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

Results (1-50 of 41576 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
16.0.130...625.1	$x^{16} - 5 x^{15} + 8 x^{14} - 10 x^{13} + 28 x^{12} - 25 x^{11} + 36 x^{10} - 50 x^{9} + 35 x^{8} - 50 x^{7} + 36 x^{6} - 25 x^{5} + 28 x^{4} - 10 x^{3} + 8 x^{2} - 5 x + 1$	$16$	[0,8]	$5^{14}\cdot 11^{8}$	$2$	$13.5611055548$	$13.561105554803268$			?	$\OD_{16}:C_2$ (as 16T36)	$[2]$	$10$	$7$	$826.91591824$
16.0.184...016.9	$x^{16} - 8 x^{15} + 32 x^{14} - 80 x^{13} + 148 x^{12} - 232 x^{11} + 316 x^{10} - 328 x^{9} + 190 x^{8} + 56 x^{7} - 264 x^{6} + 312 x^{5} - 184 x^{4} - 16 x^{3} + 128 x^{2} - 104 x + 34$	$16$	[0,8]	$2^{48}\cdot 3^{8}$	$2$	$13.8564064606$	$13.856406460551018$			?	$C_4:D_4$ (as 16T43)	$[2]$	$8$	$7$	$1142.12354201$
16.0.209...625.1	$x^{16} - x^{15} + 5 x^{14} + 14 x^{13} + 6 x^{12} + 35 x^{11} + 42 x^{10} + 20 x^{9} + 31 x^{8} - 20 x^{7} + 42 x^{6} - 35 x^{5} + 6 x^{4} - 14 x^{3} + 5 x^{2} + x + 1$	$16$	[0,8]	$3^{8}\cdot 5^{8}\cdot 13^{8}$	$3$	$13.9642400438$	$13.96424004376894$		✓		$D_4\times C_2$ (as 16T9)	$[2]$	$6$	$7$	$531.921563937$
16.0.217...000.1	$x^{16} - 2 x^{14} + 2 x^{12} - 12 x^{11} + 18 x^{10} + 24 x^{9} - 37 x^{8} - 48 x^{7} + 90 x^{6} - 48 x^{5} + 56 x^{4} - 84 x^{3} + 52 x^{2} - 12 x + 1$	$16$	[0,8]	$2^{36}\cdot 3^{4}\cdot 5^{8}$	$3$	$13.9985420463$	$18.42311740638763$				$Q_8 : C_2^2$ (as 16T23)	$[2]$	$8$	$7$	$948.065285383$
16.0.246...000.1	$x^{16} + x^{14} - x^{12} - 3 x^{10} + 8 x^{8} + 26 x^{6} + 21 x^{4} + 2 x^{2} + 1$	$16$	[0,8]	$2^{6}\cdot 5^{8}\cdot 11^{2}\cdot 13^{8}$	$4$	$14.109675063$	$115.97255888253365$			?	$C_2\wr C_2^3:C_3$ (as 16T1656)	$[2]$	$2$	$7$	$348.195120169$
16.0.252...625.1	$x^{16} - 6 x^{15} + 18 x^{14} - 34 x^{13} + 45 x^{12} - 35 x^{11} + 9 x^{10} + 12 x^{9} + x^{8} - 33 x^{7} + 99 x^{6} - 92 x^{5} + 108 x^{4} - 46 x^{3} + 24 x^{2} + 9 x + 1$	$16$	[0,8]	$5^{12}\cdot 11^{4}\cdot 29^{4}$	$3$	$14.1310741091$	$59.72041882063591$				$D_4^2:C_4$ (as 16T542)	$[2]$	$2$	$7$	$192.364024557$
16.0.256...125.1	$x^{16} - 7 x^{15} + 22 x^{14} - 52 x^{13} + 113 x^{12} - 197 x^{11} + 280 x^{10} - 375 x^{9} + 431 x^{8} - 375 x^{7} + 280 x^{6} - 197 x^{5} + 113 x^{4} - 52 x^{3} + 22 x^{2} - 7 x + 1$	$16$	[0,8]	$5^{12}\cdot 101^{5}$	$2$	$14.1441851454$	$106.52916761335055$			?	$C_2^4.C_2\wr C_4$ (as 16T1281)	$[2]$	$10$	$7$	$1225.57100774$
16.0.269...000.1	$x^{16} - 5 x^{15} + 22 x^{14} - 55 x^{13} + 125 x^{12} - 195 x^{11} + 297 x^{10} - 330 x^{9} + 384 x^{8} - 320 x^{7} + 283 x^{6} - 170 x^{5} + 115 x^{4} - 50 x^{3} + 23 x^{2} - 5 x + 1$	$16$	[0,8]	$2^{8}\cdot 3^{16}\cdot 5^{12}$	$3$	$14.186124135$	$22.965496550279074$			?	$A_4:C_4$ (as 16T62)	$[2]$	$10$	$7$	$956.718607175$
16.0.306...000.1	$x^{16} - 6 x^{15} + 14 x^{14} - 83 x^{12} + 216 x^{11} - 199 x^{10} - 210 x^{9} + 862 x^{8} - 1110 x^{7} + 578 x^{6} + 138 x^{5} - 164 x^{4} - 390 x^{3} + 683 x^{2} - 438 x + 109$	$16$	[0,8]	$2^{16}\cdot 3^{14}\cdot 5^{10}$	$3$	$14.3010309406$	$17.487937673507474$			?	$D_8:C_4$ (as 16T114)	$[2]$	$12$	$7$	$1367.18712937$
16.0.308...464.1	$x^{16} - 6 x^{15} + 16 x^{14} - 18 x^{13} - 14 x^{12} + 66 x^{11} - 56 x^{10} - 42 x^{9} + 118 x^{8} - 42 x^{7} - 56 x^{6} + 66 x^{5} - 14 x^{4} - 18 x^{3} + 16 x^{2} - 6 x + 1$	$16$	[0,8]	$2^{28}\cdot 3^{14}\cdot 7^{4}$	$3$	$14.3073137251$	$25.378231795778103$			?	$C_2\wr D_4$ (as 16T376)	$[2]$	$6$	$7$	$1343.40485149$
16.0.312...416.3	$x^{16} - 6 x^{15} + 19 x^{14} - 42 x^{13} + 83 x^{12} - 156 x^{11} + 249 x^{10} - 300 x^{9} + 260 x^{8} - 114 x^{7} - 9 x^{6} + 78 x^{5} - 37 x^{4} + 12 x^{3} + 13 x^{2} + 1$	$16$	[0,8]	$2^{24}\cdot 3^{8}\cdot 73^{4}$	$3$	$14.319779673152125$	$59.19459434779497$				$C_2^3.C_2^4$ (as 16T223)	$[2]$	$12$	$7$	$1742.7885280839505$
16.0.348...000.1	$x^{16} - 8 x^{15} + 26 x^{14} - 42 x^{13} + 30 x^{12} + 2 x^{11} - 50 x^{10} + 184 x^{9} - 140 x^{8} - 522 x^{7} + 1272 x^{6} - 1220 x^{5} + 621 x^{4} - 186 x^{3} + 40 x^{2} - 8 x + 1$	$16$	[0,8]	$2^{24}\cdot 3^{12}\cdot 5^{8}$	$3$	$14.4168684848$	$14.416868484808525$			?	$C_4:D_4$ (as 16T43)	$[2]$	$12$	$7$	$1368.08464147$
16.0.348...000.2	$x^{16} - 2 x^{15} + 2 x^{14} - 4 x^{13} - 22 x^{12} + 2 x^{11} + 48 x^{10} + 114 x^{9} + 163 x^{8} + 114 x^{7} + 48 x^{6} + 2 x^{5} - 22 x^{4} - 4 x^{3} + 2 x^{2} - 2 x + 1$	$16$	[0,8]	$2^{24}\cdot 3^{12}\cdot 5^{8}$	$3$	$14.4168684848$	$14.416868484808525$		✓		$D_4\times C_2$ (as 16T9)	$[2]$	$12$	$7$	$1746.34049375$
16.0.348...000.4	$x^{16} - 8 x^{14} + 29 x^{12} - 59 x^{10} + 76 x^{8} - 61 x^{6} + 29 x^{4} - 7 x^{2} + 1$	$16$	[0,8]	$2^{24}\cdot 3^{12}\cdot 5^{8}$	$3$	$14.4168684848$	$20.38853093816547$			?	$C_4^2:C_2^2$ (as 16T117)	$[2]$	$6$	$7$	$761.58187387$
16.0.348...000.5	$x^{16} - 5 x^{14} + 13 x^{12} - 50 x^{10} + 118 x^{8} - 50 x^{6} + 13 x^{4} - 5 x^{2} + 1$	$16$	[0,8]	$2^{24}\cdot 3^{12}\cdot 5^{8}$	$3$	$14.4168684848$	$20.38853093816547$				$C_2^2 \times D_4$ (as 16T25)	$[2]$	$12$	$7$	$2195.06635613$
16.0.379...625.1	$x^{16} - 5 x^{15} + 5 x^{14} + 10 x^{13} - 12 x^{12} - 15 x^{11} - 10 x^{10} + 50 x^{9} + 79 x^{8} - 240 x^{7} + 160 x^{6} + 15 x^{5} - 58 x^{4} + 20 x^{3} + 5 x^{2} - 5 x + 1$	$16$	[0,8]	$5^{12}\cdot 353^{4}$	$2$	$14.4934300763$	$62.82244806028438$				$C_2^5.D_6$ (as 16T725)	$[2]$	$10$	$7$	$1185.47860255$
16.0.385...600.1	$x^{16} + 8 x^{14} - 8 x^{13} + 25 x^{12} - 20 x^{11} + 10 x^{10} + 8 x^{9} - 20 x^{8} + 32 x^{7} + 2 x^{6} + 20 x^{5} + 21 x^{4} - 48 x^{3} + 28 x^{2} - 8 x + 1$	$16$	[0,8]	$2^{24}\cdot 3^{8}\cdot 5^{2}\cdot 7^{2}\cdot 13^{4}$	$5$	$14.5077467042$	$124.27072101309382$				$C_2\wr D_4.C_2^2$ (as 16T1697)	$[2]$	$12$	$7$	$1988.98684776$
16.0.405...625.1	$x^{16} - 2 x^{15} + 6 x^{14} - 8 x^{13} + 20 x^{12} - 22 x^{11} + 43 x^{10} - 39 x^{9} + 63 x^{8} - 21 x^{7} + 33 x^{6} + 4 x^{5} + 29 x^{4} + 26 x^{3} + 17 x^{2} + 4 x + 1$	$16$	[0,8]	$5^{12}\cdot 359^{4}$	$2$	$14.5546281864$	$168.89772597453532$			?	$A_4^2:C_4$ (as 16T1031)	$[2]$	$10$	$7$	$1863.17635715$
16.0.407...856.1	$x^{16} - 2 x^{15} + 4 x^{14} + 4 x^{13} - 28 x^{12} - 2 x^{11} + 64 x^{10} + 2 x^{9} - 77 x^{8} - 18 x^{7} + 40 x^{6} + 18 x^{5} + 4 x^{4} + 16 x^{3} + 16 x^{2} + 6 x + 1$	$16$	[0,8]	$2^{28}\cdot 3^{12}\cdot 13^{4}$	$3$	$14.5589237512$	$27.64490549356882$			?	$C_2^4:D_4$ (as 16T373)	$[2]$	$12$	$7$	$1717.59368728$
16.0.414...625.1	$x^{16} - x^{15} - 2 x^{14} + 6 x^{13} - 2 x^{12} + 19 x^{11} - 5 x^{10} - 60 x^{9} + 96 x^{8} + 60 x^{7} - 5 x^{6} - 19 x^{5} - 2 x^{4} - 6 x^{3} - 2 x^{2} + x + 1$	$16$	[0,8]	$5^{12}\cdot 19^{8}$	$2$	$14.5748570443$	$14.574857044323968$		✓		$C_2^2 : C_4$ (as 16T10)	$[2]$	$10$	$7$	$1799.25582348$
16.0.414...625.2	$x^{16} - x^{15} + x^{14} - 7 x^{13} + 29 x^{12} - 45 x^{11} + 23 x^{10} + 21 x^{9} + 23 x^{8} - 21 x^{7} + 23 x^{6} + 45 x^{5} + 29 x^{4} + 7 x^{3} + x^{2} + x + 1$	$16$	[0,8]	$5^{12}\cdot 19^{8}$	$2$	$14.5748570443$	$14.574857044323968$		✓	?	$QD_{16}$ (as 16T12)	$[2]$	$2$	$7$	$383.449419108$
16.0.414...625.3	$x^{16} - 3 x^{15} + 4 x^{14} - 5 x^{12} + 8 x^{11} - 5 x^{9} + x^{8} + 5 x^{7} - 8 x^{5} - 5 x^{4} + 4 x^{2} + 3 x + 1$	$16$	[0,8]	$5^{12}\cdot 19^{8}$	$2$	$14.5748570443$	$30.429351993705872$			?	$C_2^3.D_8$ (as 16T330)	$[2]$	$2$	$7$	$279.049622167$
16.0.414...625.4	$x^{16} - 6 x^{15} + 21 x^{14} - 49 x^{13} + 82 x^{12} - 109 x^{11} + 111 x^{10} - 92 x^{9} + 89 x^{8} + 3 x^{7} + 108 x^{6} + 70 x^{5} + 171 x^{4} + 60 x^{3} + 115 x^{2} + 25 x + 25$	$16$	[0,8]	$5^{12}\cdot 19^{8}$	$2$	$14.5748570443$	$30.429351993705872$			?	$C_2\wr C_4$ (as 16T172)	$[2]$	$10$	$7$	$1686.73108057$
16.0.441...000.1	$x^{16} - 3 x^{15} + 2 x^{14} - 4 x^{13} + x^{12} + 67 x^{11} - 160 x^{10} + 48 x^{9} + 334 x^{8} - 631 x^{7} + 535 x^{6} - 261 x^{5} + 126 x^{4} - 92 x^{3} + 48 x^{2} - 11 x + 1$	$16$	[0,8]	$2^{8}\cdot 5^{14}\cdot 41^{4}$	$3$	$14.6322029362$	$52.36253670710893$			?	$(C_2\times C_8):D_4$ (as 16T209)	$[2]$	$10$	$7$	$1552.4559685$
16.0.450...000.1	$x^{16} - 8 x^{14} + 44 x^{12} - 24 x^{11} - 168 x^{10} + 252 x^{9} + 335 x^{8} - 1536 x^{7} + 2352 x^{6} - 2028 x^{5} + 1052 x^{4} - 336 x^{3} + 76 x^{2} - 12 x + 1$	$16$	[0,8]	$2^{40}\cdot 3^{8}\cdot 5^{4}$	$3$	$14.6513660059$	$21.908902300206645$				$Q_8 : C_2^2$ (as 16T23)	$[2]$	$24$	$7$	$3841.1002703$
16.0.525...944.3	$x^{16} + 4 x^{14} + 4 x^{12} + 16 x^{10} - 20 x^{8} - 8 x^{6} + 16 x^{4} + 16 x^{2} + 4$	$16$	[0,8]	$2^{40}\cdot 3^{14}$	$2$	$14.7929942022$	$14.79299420224515$			?	$C_2\times \SD_{16}$ (as 16T48)	$[2]$	$2$	$7$	$842.679843057$
16.0.530...000.1	$x^{16} + 4 x^{14} - 4 x^{10} + 34 x^{8} - 4 x^{6} + 4 x^{2} + 1$	$16$	[0,8]	$2^{28}\cdot 3^{4}\cdot 5^{12}$	$3$	$14.8016560898$	$19.480074928505935$				$C_2^3:C_4$ (as 16T33)	$[2]$	$4$	$7$	$766.799616622$
16.0.530...000.2	$x^{16} - 4 x^{15} + 8 x^{14} - 16 x^{13} + 8 x^{12} + 16 x^{11} + 20 x^{9} - 14 x^{8} - 20 x^{7} - 16 x^{5} + 8 x^{4} + 16 x^{3} + 8 x^{2} + 4 x + 1$	$16$	[0,8]	$2^{28}\cdot 3^{4}\cdot 5^{12}$	$3$	$14.8016560898$	$19.480074928505935$			?	$C_2^3:C_4$ (as 16T33)	$[2]$	$4$	$7$	$1070.46014902$
16.0.600...000.2	$x^{16} - 6 x^{14} + 14 x^{12} - 2 x^{10} - 6 x^{8} - 14 x^{6} + 81 x^{4} - 68 x^{2} + 16$	$16$	[0,8]	$2^{8}\cdot 3^{8}\cdot 5^{12}\cdot 11^{4}$	$4$	$14.9159630803$	$38.416205762020034$				$C_2^4.C_2^4$ (as 16T459)	$[2]$	$6$	$7$	$1704.59945373$
16.0.605...000.5	$x^{16} - 2 x^{14} + 2 x^{12} + 23 x^{10} - 22 x^{8} - 16 x^{6} + 18 x^{4} + 11 x^{2} + 1$	$16$	[0,8]	$2^{24}\cdot 5^{8}\cdot 31^{4}$	$3$	$14.9234906946$	$59.22203673199087$			?	$D_4^2:C_2^2$ (as 16T602)	$[2]$	$2$	$7$	$362.23956349$
16.0.633...576.1	$x^{16} - 6 x^{14} + 19 x^{12} - 26 x^{10} + 22 x^{8} - 14 x^{6} + 35 x^{4} - 10 x^{2} + 1$	$16$	[0,8]	$2^{40}\cdot 7^{8}$	$2$	$14.9666295471$	$21.166010488516726$			?	$C_4^2:C_2^2$ (as 16T111)	$[2]$	$2$	$7$	$729.968248766$
16.0.633...576.2	$x^{16} - 6 x^{14} - 12 x^{13} - 6 x^{12} + 52 x^{11} + 166 x^{10} + 280 x^{9} + 346 x^{8} + 280 x^{7} + 166 x^{6} + 52 x^{5} - 6 x^{4} - 12 x^{3} - 6 x^{2} + 1$	$16$	[0,8]	$2^{40}\cdot 7^{8}$	$2$	$14.9666295471$	$19.409317196482316$				$C_2\wr C_2^2$ (as 16T127)	$[2]$	$8$	$7$	$3964.06469644$
16.0.633...576.9	$x^{16} + 3 x^{12} + x^{8} - 8 x^{4} + 4$	$16$	[0,8]	$2^{40}\cdot 7^{8}$	$2$	$14.9666295471$	$21.166010488516726$			?	$C_4^2:C_2^2$ (as 16T111)	$[2]$	$4$	$7$	$1089.77441313$
16.0.633...576.10	$x^{16} - 8 x^{14} + 14 x^{12} + 12 x^{10} + 45 x^{8} + 92 x^{6} + 56 x^{4} + 8 x^{2} + 4$	$16$	[0,8]	$2^{40}\cdot 7^{8}$	$2$	$14.9666295471$	$14.966629547095765$			?	$D_8:C_2$ (as 16T35)	$[2]$	$2$	$7$	$1084.24999819$
16.0.712...288.7	$x^{16} - 4 x^{15} + 2 x^{14} + 4 x^{13} + 31 x^{12} - 96 x^{11} + 14 x^{10} + 298 x^{9} - 518 x^{8} + 242 x^{7} + 392 x^{6} - 768 x^{5} + 598 x^{4} - 232 x^{3} + 38 x^{2} - 2 x + 1$	$16$	[0,8]	$2^{24}\cdot 3^{10}\cdot 193^{3}$	$3$	$15.0760570819$				?	$C_4^4:D_4$ (as 16T1472)	$[2]$	$12$	$7$	$1827.33799728$
16.0.767...773.1	$x^{16} - 7 x^{15} + 25 x^{14} - 62 x^{13} + 113 x^{12} - 113 x^{11} + 24 x^{10} - 52 x^{9} + 243 x^{8} - 232 x^{7} + 78 x^{6} - 56 x^{5} + 36 x^{4} - 8 x^{3} + 11 x^{2} - x + 1$	$16$	[0,8]	$3^{10}\cdot 37^{9}$	$2$	$15.1465685247$	$34.197332740531884$			?	$C_2^4.D_8$ (as 16T675)	$[2]$	$6$	$7$	$1010.09524782$
16.0.773...625.1	$x^{16} - 5 x^{15} + 11 x^{14} - 17 x^{13} + 46 x^{11} + 18 x^{10} - 257 x^{9} + 481 x^{8} - 424 x^{7} + 141 x^{6} + 26 x^{5} - 12 x^{4} - 22 x^{3} + 20 x^{2} - 7 x + 1$	$16$	[0,8]	$3^{8}\cdot 5^{12}\cdot 13^{6}$	$3$	$15.1536372812$	$20.88140933013045$				$C_2\times D_8$ (as 16T29)	$[2]$	$6$	$7$	$1069.42947142$
16.0.827...936.1	$x^{16} + 4 x^{14} + 4 x^{12} + 8 x^{10} + 28 x^{8} + 40 x^{6} + 32 x^{4} + 16 x^{2} + 4$	$16$	[0,8]	$2^{46}\cdot 7^{6}$	$2$	$15.218540435$	$31.57074043035591$			?	$C_4^2:D_4$ (as 16T408)	$[2]$	$2$	$7$	$717.570908871$
16.0.829...000.2	$x^{16} - 2 x^{15} + 12 x^{14} - 6 x^{13} + 26 x^{12} + 68 x^{11} - 30 x^{10} + 222 x^{9} + 199 x^{8} - 224 x^{7} + 1210 x^{6} - 994 x^{5} + 1546 x^{4} - 698 x^{3} + 778 x^{2} - 184 x + 181$	$16$	[0,8]	$2^{24}\cdot 3^{4}\cdot 5^{14}$	$3$	$15.2203297289$	$20.031080424826147$			?	$(C_8:C_2):C_2$ (as 16T16)	$[2]$	$20$	$7$	$3660.4680193$
16.0.850...144.1	$x^{16} - 4 x^{15} + 2 x^{14} - 2 x^{13} + 24 x^{12} - 42 x^{11} + 100 x^{10} - 84 x^{9} - 69 x^{8} + 70 x^{7} + 52 x^{6} - 72 x^{5} + 34 x^{4} - 6 x^{3} - 6 x^{2} + 2 x + 1$	$16$	[0,8]	$2^{28}\cdot 3^{8}\cdot 13^{6}$	$3$	$15.2437520789$	$21.005585720479342$			?	$C_2\wr C_2^2$ (as 16T128)	$[2]$	$12$	$7$	$2145.36050468$
16.0.850...144.2	$x^{16} - 6 x^{15} + 14 x^{14} - 22 x^{13} + 42 x^{12} - 64 x^{11} + 48 x^{10} - 58 x^{9} + 187 x^{8} - 336 x^{7} + 420 x^{6} - 522 x^{5} + 648 x^{4} - 702 x^{3} + 594 x^{2} - 324 x + 81$	$16$	[0,8]	$2^{28}\cdot 3^{8}\cdot 13^{6}$	$3$	$15.2437520789$	$21.005585720479342$			?	$C_2\wr C_2^2$ (as 16T128)	$[2]$	$12$	$7$	$2343.64342971$
16.0.850...000.1	$x^{16} - 6 x^{15} + 18 x^{14} - 36 x^{13} + 37 x^{12} - 18 x^{10} + 42 x^{9} - 60 x^{8} + 42 x^{7} - 18 x^{6} + 37 x^{4} - 36 x^{3} + 18 x^{2} - 6 x + 1$	$16$	[0,8]	$2^{16}\cdot 3^{12}\cdot 5^{12}$	$3$	$15.2439824446$	$15.243982444638442$		✓		$D_4\times C_2$ (as 16T9)	$[2]$	$12$	$7$	$4348.50756134$
16.0.850...000.2	$x^{16} - 6 x^{15} + 22 x^{14} - 64 x^{13} + 133 x^{12} - 234 x^{11} + 358 x^{10} - 414 x^{9} + 439 x^{8} - 290 x^{7} + 190 x^{6} - 28 x^{5} + 17 x^{4} - 10 x^{3} + 10 x^{2} - 4 x + 1$	$16$	[0,8]	$2^{16}\cdot 3^{12}\cdot 5^{12}$	$3$	$15.2439824446$	$15.243982444638442$			?	$C_4 \times D_4$ (as 16T19)	$[2]$	$10$	$7$	$1993.86624767$
16.0.850...000.3	$x^{16} - 7 x^{14} - 4 x^{12} + 29 x^{10} + 169 x^{8} + 232 x^{6} + 104 x^{4} + 16 x^{2} + 16$	$16$	[0,8]	$2^{16}\cdot 3^{12}\cdot 5^{12}$	$3$	$15.2439824446$	$15.243982444638442$				$C_4 \times D_4$ (as 16T19)	$[2]$	$6$	$7$	$1412.52985008$
16.0.944...296.1	$x^{16} - 4 x^{15} + 2 x^{14} - 6 x^{13} + 86 x^{12} - 218 x^{11} + 226 x^{10} - 288 x^{9} + 724 x^{8} - 930 x^{7} + 340 x^{6} + 248 x^{5} - 223 x^{4} + 30 x^{3} + 20 x^{2} - 8 x + 1$	$16$	[0,8]	$2^{24}\cdot 3^{14}\cdot 7^{6}$	$3$	$15.3439740868$	$19.5692919025805$			?	$D_8:C_2$ (as 16T45)	$[2]$	$12$	$7$	$2306.51987946$
16.0.965...625.1	$x^{16} - 4 x^{15} + 12 x^{14} - 27 x^{13} + 49 x^{12} - 75 x^{11} + 82 x^{10} - 66 x^{9} + 42 x^{8} + 11 x^{7} + 30 x^{6} + 57 x^{5} + 10 x^{4} - 59 x^{3} + 36 x^{2} - 5 x + 1$	$16$	[0,8]	$5^{12}\cdot 19^{6}\cdot 29^{2}$	$3$	$15.3659654852$	$78.48800722410985$			?	$C_2^4:\SD_{16}$ (as 16T707)	$[2]$	$2$	$7$	$424.016949725$
16.0.965...625.2	$x^{16} + 7 x^{14} + 12 x^{12} + 10 x^{10} + 86 x^{8} + 155 x^{6} - 12 x^{4} - 4 x^{2} + 1$	$16$	[0,8]	$5^{12}\cdot 19^{6}\cdot 29^{2}$	$3$	$15.3659654852$	$78.48800722410985$			?	$C_2^4:\SD_{16}$ (as 16T707)	$[2]$	$2$	$7$	$454.675003783$
16.0.100...625.2	$x^{16} + 6 x^{14} - 15 x^{13} + 15 x^{12} - 54 x^{11} + 99 x^{10} - 84 x^{9} + 159 x^{8} - 234 x^{7} + 135 x^{6} - 117 x^{5} + 162 x^{4} - 63 x^{3} - 9 x^{2} - 9 x + 9$	$16$	[0,8]	$3^{14}\cdot 5^{4}\cdot 7^{6}\cdot 13^{4}$	$4$	$15.4035634569$	$90.73217175218808$			?	$C_4.D_4^2$ (as 16T511)	$[2]$	$6$	$7$	$1130.60888908$
16.0.101...625.1	$x^{16} - 7 x^{15} + 27 x^{14} - 63 x^{13} + 115 x^{12} - 167 x^{11} + 216 x^{10} - 243 x^{9} + 258 x^{8} - 243 x^{7} + 216 x^{6} - 167 x^{5} + 115 x^{4} - 63 x^{3} + 27 x^{2} - 7 x + 1$	$16$	[0,8]	$3^{8}\cdot 5^{8}\cdot 251^{4}$	$3$	$15.4157287459$	$61.35959582656978$				$C_2^4:S_4$ (as 16T724)	$[2]$	$6$	$7$	$1518.93095996$
16.0.104...000.2	$x^{16} - 4 x^{15} + 8 x^{14} - 21 x^{13} + 46 x^{12} - 50 x^{11} + 43 x^{10} - 29 x^{9} - 40 x^{8} - 29 x^{7} + 211 x^{6} - 75 x^{5} - 108 x^{4} + 10 x^{3} + 28 x^{2} + 9 x + 1$	$16$	[0,8]	$2^{8}\cdot 3^{10}\cdot 5^{8}\cdot 11^{6}$	$4$	$15.4426931193$	$103.55544743816941$			?	$C_2^3\wr C_2:D_4$ (as 16T1220)	$[2]$	$6$	$7$	$1096.05456905$