Number field search results

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

Results (1-50 of 2151 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
16.0.400...969.21	$x^{16} - 6 x^{15} + 96 x^{14} - 446 x^{13} + 4135 x^{12} - 15442 x^{11} + 105440 x^{10} - 318139 x^{9} + 1747266 x^{8} - 4186200 x^{7} + 19309779 x^{6} - 35078044 x^{5} + 139303886 x^{4} - 173184835 x^{3} + 601821142 x^{2} - 389008031 x + 1198719131$	$16$	[0,8]	$17^{14}\cdot 47^{8}$	$2$	$81.7884043055$	$81.7884043055344$	✓	✓		$C_8\times C_2$ (as 16T5)	$[4, 4, 6560]$	$2$	$7$	$3640.01221338$
16.0.561...000.44	$x^{16} - 8 x^{15} + 92 x^{14} - 504 x^{13} + 3508 x^{12} - 14860 x^{11} + 77626 x^{10} - 262972 x^{9} + 1107333 x^{8} - 2996084 x^{7} + 10483974 x^{6} - 21926452 x^{5} + 64443548 x^{4} - 95384228 x^{3} + 234422198 x^{2} - 189953172 x + 382482481$	$16$	[0,8]	$2^{32}\cdot 3^{8}\cdot 5^{12}\cdot 13^{8}$	$4$	$83.5256373205$	$83.5256373205218$	✓	✓		$C_4\times C_2^2$ (as 16T2)	$[2, 4, 8, 2080]$	$2$	$7$	$7114.135357253273$
16.0.648...736.5	$x^{16} + 52 x^{14} + 1558 x^{12} - 24 x^{11} + 32324 x^{10} + 1848 x^{9} + 483207 x^{8} + 38592 x^{7} + 5163148 x^{6} + 175584 x^{5} + 37553914 x^{4} - 1933320 x^{3} + 168754196 x^{2} - 17519784 x + 350398078$	$16$	[0,8]	$2^{48}\cdot 3^{8}\cdot 37^{8}$	$3$	$84.2852300228$	$84.2852300228219$	✓	✓	?	$C_4\times C_2^2$ (as 16T2)	$[106080]$	$2$	$7$	$11964.310642723332$
16.0.740...072.2	$x^{16} + 155 x^{14} + 9384 x^{12} + 284936 x^{10} + 4684188 x^{8} + 42761137 x^{6} + 212450356 x^{4} + 524089873 x^{2} + 483345053$	$16$	[0,8]	$2^{16}\cdot 483345053^{3}$	$2$	$84.9822519466$		✓		?	$C_2^7.S_8$ (as 16T1946)	$[115424]$	$2$	$7$	$4019.92313624$
16.0.900...624.3	$x^{16} - 2 x^{15} + 91 x^{14} - 156 x^{13} + 3980 x^{12} - 5828 x^{11} + 107531 x^{10} - 132122 x^{9} + 1947249 x^{8} - 1943848 x^{7} + 24090615 x^{6} - 18462918 x^{5} + 198368818 x^{4} - 104591990 x^{3} + 993282715 x^{2} - 272656064 x + 2317576561$	$16$	[0,8]	$2^{16}\cdot 13^{8}\cdot 17^{14}$	$3$	$86.0289214234$	$86.02892142341399$	✓	✓	?	$C_8\times C_2$ (as 16T5)	$[4, 4, 4, 8, 272]$	$2$	$7$	$3640.012213375973$
16.0.119...000.1	$x^{16} - 2 x^{15} + 113 x^{14} - 170 x^{13} + 5670 x^{12} - 5200 x^{11} + 162976 x^{10} - 45672 x^{9} + 2933108 x^{8} + 851928 x^{7} + 34322677 x^{6} + 21797522 x^{5} + 263102522 x^{4} + 148225950 x^{3} + 1229052881 x^{2} + 112463354 x + 2667232231$	$16$	[0,8]	$2^{16}\cdot 5^{8}\cdot 29^{6}\cdot 941^{4}$	$4$	$87.5611895338$	$2424.5062377473355$	✓		?	$C_2^6.D_4$ (as 16T1025)	$[4, 37960]$	$2$	$7$	$4024.00673312$
16.0.119...000.2	$x^{16} - 2 x^{15} + 113 x^{14} - 172 x^{13} + 5830 x^{12} - 6642 x^{11} + 175264 x^{10} - 161942 x^{9} + 3284104 x^{8} - 2727984 x^{7} + 38554411 x^{6} - 29815402 x^{5} + 273976211 x^{4} - 167301256 x^{3} + 1092003662 x^{2} - 247972336 x + 2265405829$	$16$	[0,8]	$2^{16}\cdot 5^{8}\cdot 29^{6}\cdot 941^{4}$	$4$	$87.5611895338$	$2424.5062377473355$	✓		?	$C_2^6.D_4$ (as 16T1025)	$[4, 36920]$	$2$	$7$	$4024.00673312$
16.0.122...000.5	$x^{16} - 8 x^{15} + 100 x^{14} - 560 x^{13} + 4184 x^{12} - 18188 x^{11} + 101298 x^{10} - 352160 x^{9} + 1574821 x^{8} - 4365228 x^{7} + 16182278 x^{6} - 34569744 x^{5} + 107501834 x^{4} - 161864696 x^{3} + 421058284 x^{2} - 345252216 x + 738052316$	$16$	[0,8]	$2^{32}\cdot 5^{12}\cdot 43^{8}$	$3$	$87.7044687721$	$87.70446877211717$	✓	✓		$C_4\times C_2^2$ (as 16T2)	$[3, 30, 2100]$	$2$	$7$	$7114.135357253273$
16.0.140...625.4	$x^{16} - 6 x^{15} + 112 x^{14} - 530 x^{13} + 5619 x^{12} - 21510 x^{11} + 166080 x^{10} - 514575 x^{9} + 3172440 x^{8} - 7799164 x^{7} + 40179631 x^{6} - 74720456 x^{5} + 330143602 x^{4} - 418732795 x^{3} + 1613418232 x^{2} - 1059674139 x + 3605932049$	$16$	[0,8]	$5^{8}\cdot 11^{8}\cdot 17^{14}$	$3$	$88.4757292523$	$88.47572925234448$	✓	✓		$C_8\times C_2$ (as 16T5)	$[126560]$	$2$	$7$	$3640.012213375973$
16.0.147...000.12	$x^{16} + 176 x^{14} + 12584 x^{12} + 468512 x^{10} + 9648419 x^{8} + 106937864 x^{6} + 559813276 x^{4} + 935384208 x^{2} + 214358881$	$16$	[0,8]	$2^{48}\cdot 5^{12}\cdot 11^{8}$	$3$	$88.7184269518$	$88.71842695178528$	✓	✓	?	$C_4^2$ (as 16T4)	$[2, 2, 30, 870]$	$2$	$7$	$7114.135357253273$
16.0.162...864.7	$x^{16} - 2 x^{15} + 99 x^{14} - 170 x^{13} + 4673 x^{12} - 6854 x^{11} + 135514 x^{10} - 166672 x^{9} + 2622159 x^{8} - 2617358 x^{7} + 34526242 x^{6} - 26419040 x^{5} + 301456646 x^{4} - 158389884 x^{3} + 1594732716 x^{2} - 435146928 x + 3916322369$	$16$	[0,8]	$2^{24}\cdot 7^{8}\cdot 17^{14}$	$3$	$89.2764309055$	$89.27643090547606$	✓	✓	?	$C_8\times C_2$ (as 16T5)	$[16, 9040]$	$2$	$7$	$3640.012213375973$
16.0.171...000.1	$x^{16} + 180 x^{14} + 12415 x^{12} + 417875 x^{10} + 7355100 x^{8} + 69576750 x^{6} + 347255625 x^{4} + 844226250 x^{2} + 768675625$	$16$	[0,8]	$2^{16}\cdot 5^{12}\cdot 29^{4}\cdot 1109^{4}$	$4$	$89.555009631$		✓		?	$C_2^2.C_2\wr D_4$ (as 16T1744)	$[2, 2, 30520]$	$2$	$7$	$4572.22444832$
16.0.187...000.1	$x^{16} + 170 x^{14} + 11900 x^{12} + 442000 x^{10} + 9350000 x^{8} + 112200000 x^{6} + 714000000 x^{4} + 2040000000 x^{2} + 1700000000$	$16$	[0,8]	$2^{24}\cdot 5^{8}\cdot 17^{15}$	$3$	$90.0691075291$	$90.06910752907532$	✓	✓	?	$C_{16}$ (as 16T1)	$[2, 2, 38978]$	$2$	$7$	$3640.012213375973$
16.0.215...616.5	$x^{16} - 8 x^{15} + 100 x^{14} - 560 x^{13} + 4186 x^{12} - 18200 x^{11} + 101264 x^{10} - 351880 x^{9} + 1570905 x^{8} - 4351376 x^{7} + 16097276 x^{6} - 34361912 x^{5} + 106654352 x^{4} - 160500584 x^{3} + 418672980 x^{2} - 343516544 x + 745807489$	$16$	[0,8]	$2^{48}\cdot 3^{8}\cdot 43^{8}$	$3$	$90.8625335328$	$90.86253353280438$	✓	✓	?	$C_4\times C_2^2$ (as 16T2)	$[5, 20400]$	$2$	$7$	$11964.310642723332$
16.0.223...125.1	$x^{16} - 6 x^{15} + 114 x^{14} - 436 x^{13} + 4479 x^{12} - 10309 x^{11} + 80393 x^{10} - 82748 x^{9} + 763006 x^{8} + 192135 x^{7} + 5523873 x^{6} + 5112247 x^{5} + 40963734 x^{4} + 18571065 x^{3} + 207616495 x^{2} + 13494377 x + 431724841$	$16$	[0,8]	$5^{12}\cdot 13^{6}\cdot 29^{7}\cdot 1049^{2}$	$4$	$91.0651737332$	$14114.67912975808$	✓		?	$\OD_{16}^2.(C_2\times D_4)$ (as 16T1558)	$[2, 2, 2, 2, 6448]$	$2$	$7$	$10968.6213178$
16.0.228...953.1	$x^{16} - x^{15} + 171 x^{14} - 171 x^{13} + 12071 x^{12} - 12071 x^{11} + 454071 x^{10} - 454071 x^{9} + 9804071 x^{8} - 9804071 x^{7} + 122004071 x^{6} - 122004071 x^{5} + 836004071 x^{4} - 836004071 x^{3} + 2876004071 x^{2} - 2876004071 x + 4576004071$	$16$	[0,8]	$17^{15}\cdot 41^{8}$	$2$	$91.1880213315$	$91.18802133153915$	✓	✓	?	$C_{16}$ (as 16T1)	$[220354]$	$2$	$7$	$3640.01221338$
16.0.246...824.5	$x^{16} - 8 x^{15} + 92 x^{14} - 504 x^{13} + 3510 x^{12} - 14872 x^{11} + 77596 x^{10} - 262712 x^{9} + 1104105 x^{8} - 2984864 x^{7} + 10419088 x^{6} - 21769840 x^{5} + 63853488 x^{4} - 94452624 x^{3} + 232760200 x^{2} - 188732656 x + 387186238$	$16$	[0,8]	$2^{62}\cdot 3^{8}\cdot 13^{8}$	$3$	$91.6270146294$	$91.62701462938256$	✓	✓	?	$C_8\times C_2$ (as 16T5)	$[3, 43104]$	$2$	$7$	$15753.94986242651$
16.0.247...209.6	$x^{16} - 6 x^{15} + 120 x^{14} - 572 x^{13} + 6445 x^{12} - 24922 x^{11} + 203540 x^{10} - 637603 x^{9} + 4145112 x^{8} - 10300950 x^{7} + 55839765 x^{6} - 104874598 x^{5} + 486803774 x^{4} - 622686499 x^{3} + 2517198244 x^{2} - 1664461289 x + 5933446319$	$16$	[0,8]	$17^{14}\cdot 59^{8}$	$2$	$91.6365672681$	$91.6365672680861$	✓	✓		$C_8\times C_2$ (as 16T5)	$[217848]$	$2$	$7$	$3640.01221338$
16.0.249...000.5	$x^{16} - 8 x^{15} + 108 x^{14} - 616 x^{13} + 4916 x^{12} - 21852 x^{11} + 129218 x^{10} - 459508 x^{9} + 2174117 x^{8} - 6156340 x^{7} + 24095662 x^{6} - 52453964 x^{5} + 172046412 x^{4} - 263040692 x^{3} + 722028526 x^{2} - 598345980 x + 1353436561$	$16$	[0,8]	$2^{32}\cdot 5^{12}\cdot 47^{8}$	$3$	$91.6930509657$	$91.6930509657041$	✓	✓		$C_4\times C_2^2$ (as 16T2)	$[10, 17680]$	$2$	$7$	$7114.135357253273$
16.0.259...456.4	$x^{16} + 176 x^{14} + 12584 x^{12} + 468512 x^{10} + 9663060 x^{8} + 108226272 x^{6} + 595244496 x^{4} + 1247178944 x^{2} + 214358881$	$16$	[0,8]	$2^{64}\cdot 3^{8}\cdot 11^{8}$	$3$	$91.9130023446$	$91.91300234460846$	✓	✓	?	$C_8\times C_2$ (as 16T5)	$[2, 52658]$	$2$	$7$	$11964.310642723332$
16.0.367...000.15	$x^{16} - 8 x^{15} + 84 x^{14} - 448 x^{13} + 3038 x^{12} - 12768 x^{11} + 69340 x^{10} - 239384 x^{9} + 1097171 x^{8} - 3076240 x^{7} + 11902356 x^{6} - 25822592 x^{5} + 83442994 x^{4} - 127019952 x^{3} + 338600600 x^{2} - 278944192 x + 606644476$	$16$	[0,8]	$2^{44}\cdot 3^{8}\cdot 5^{8}\cdot 13^{8}$	$4$	$93.9398351564$	$93.9398351563814$	✓	✓		$C_4\times C_2^2$ (as 16T2)	$[4, 24, 1248]$	$2$	$7$	$12198.951274811623$
16.0.402...288.1	$x^{16} + 187 x^{14} + 14399 x^{12} + 588302 x^{10} + 13689335 x^{8} + 180699222 x^{6} + 1264894554 x^{4} + 3975382884 x^{2} + 3644100977$	$16$	[0,8]	$2^{16}\cdot 11^{8}\cdot 17^{15}$	$3$	$94.4652769233$	$94.46527692328303$	✓	✓	?	$C_{16}$ (as 16T1)	$[2, 94, 1598]$	$2$	$7$	$3640.012213375973$
16.0.439...176.5	$x^{16} - 8 x^{15} + 108 x^{14} - 616 x^{13} + 4918 x^{12} - 21864 x^{11} + 129180 x^{10} - 459208 x^{9} + 2169447 x^{8} - 6139592 x^{7} + 23986068 x^{6} - 52182408 x^{5} + 170888666 x^{4} - 261158920 x^{3} + 718599116 x^{2} - 595814888 x + 1365774814$	$16$	[0,8]	$2^{48}\cdot 3^{8}\cdot 47^{8}$	$3$	$94.9947366963$	$94.99473669630333$	✓	✓	?	$C_4\times C_2^2$ (as 16T2)	$[2, 2, 2, 4, 8, 40, 40]$	$2$	$7$	$11964.310642723332$
16.0.479...000.6	$x^{16} + 56 x^{14} + 1581 x^{12} + 24416 x^{10} + 221976 x^{8} + 961100 x^{6} + 2238125 x^{4} + 1312500 x^{2} + 390625$	$16$	[0,8]	$2^{32}\cdot 3^{8}\cdot 5^{12}\cdot 17^{8}$	$4$	$95.5152205054$	$95.51522050542071$	✓	✓		$C_4\times C_2^2$ (as 16T2)	$[6, 6, 12, 240]$	$2$	$7$	$58630.77118534252$
16.0.479...000.26	$x^{16} - 12 x^{14} - 60 x^{13} + 284 x^{12} + 1440 x^{11} + 4442 x^{10} - 2100 x^{9} - 2019 x^{8} + 49800 x^{7} + 700670 x^{6} + 2631000 x^{5} + 8159670 x^{4} + 15805800 x^{3} + 26809700 x^{2} + 26637000 x + 24022900$	$16$	[0,8]	$2^{32}\cdot 3^{8}\cdot 5^{12}\cdot 17^{8}$	$4$	$95.5152205054$	$95.51522050542071$	✓	✓		$C_4\times C_2^2$ (as 16T2)	$[2, 6, 12, 816]$	$2$	$7$	$54685.79274709562$
16.0.479...000.39	$x^{16} - 4 x^{15} + 54 x^{14} - 164 x^{13} + 1529 x^{12} - 4056 x^{11} + 30078 x^{10} - 70272 x^{9} + 426051 x^{8} - 854320 x^{7} + 4275808 x^{6} - 6891612 x^{5} + 28648659 x^{4} - 33425040 x^{3} + 115796640 x^{2} - 76098832 x + 210560401$	$16$	[0,8]	$2^{32}\cdot 3^{8}\cdot 5^{12}\cdot 17^{8}$	$4$	$95.5152205054$	$95.51522050542071$	✓	✓		$C_4\times C_2^2$ (as 16T2)	$[2, 2, 8, 4080]$	$2$	$7$	$16694.393243512957$
16.0.479...000.49	$x^{16} - 8 x^{15} + 116 x^{14} - 672 x^{13} + 5704 x^{12} - 25852 x^{11} + 161722 x^{10} - 586696 x^{9} + 2927421 x^{8} - 8448140 x^{7} + 34806462 x^{6} - 77057656 x^{5} + 265837154 x^{4} - 412056200 x^{3} + 1190242220 x^{2} - 995805576 x + 2376274876$	$16$	[0,8]	$2^{32}\cdot 3^{8}\cdot 5^{12}\cdot 17^{8}$	$4$	$95.5152205054$	$95.51522050542071$	✓	✓		$C_4\times C_2^2$ (as 16T2)	$[2, 4, 4, 8160]$	$2$	$7$	$7114.135357253273$
16.0.479...000.58	$x^{16} + 272 x^{14} + 30345 x^{12} + 1788332 x^{10} + 59633994 x^{8} + 1113167888 x^{6} + 10620530360 x^{4} + 39392512608 x^{2} + 6975757441$	$16$	[0,8]	$2^{32}\cdot 3^{8}\cdot 5^{12}\cdot 17^{8}$	$4$	$95.5152205054$	$95.51522050542071$	✓	✓	?	$C_4\times C_2^2$ (as 16T2)	$[12, 48, 816]$	$2$	$7$	$3121.7160224989234$
16.0.503...125.1	$x^{16} - 7 x^{15} + 169 x^{14} - 721 x^{13} + 10352 x^{12} - 32647 x^{11} + 314218 x^{10} - 802681 x^{9} + 5362186 x^{8} - 11468099 x^{7} + 53717753 x^{6} - 95434883 x^{5} + 311549332 x^{4} - 428392404 x^{3} + 959344879 x^{2} - 794857148 x + 1187058641$	$16$	[0,8]	$5^{12}\cdot 101^{6}\cdot 181^{5}$	$3$	$95.8015582413$	$452.0926824041374$	✓		?	$C_8^2:D_4$ (as 16T994)	$[2, 2, 2, 2, 10974]$	$2$	$7$	$6824.94222592$
16.0.503...125.2	$x^{16} - 5 x^{15} + 124 x^{14} - 604 x^{13} + 6872 x^{12} - 30262 x^{11} + 214133 x^{10} - 801805 x^{9} + 4005147 x^{8} - 12138424 x^{7} + 45602362 x^{6} - 105886889 x^{5} + 306325756 x^{4} - 497742168 x^{3} + 1090515202 x^{2} - 981056326 x + 1503349111$	$16$	[0,8]	$5^{12}\cdot 101^{6}\cdot 181^{5}$	$3$	$95.8015582413$	$452.0926824041374$	✓		?	$C_8^2:D_4$ (as 16T994)	$[2, 2, 2, 2, 10838]$	$2$	$7$	$6824.94222592$
16.0.539...304.2	$x^{16} - 8 x^{15} + 100 x^{14} - 560 x^{13} + 4186 x^{12} - 18200 x^{11} + 101264 x^{10} - 351880 x^{9} + 1570907 x^{8} - 4351384 x^{7} + 16096672 x^{6} - 34360072 x^{5} + 106670842 x^{4} - 160536640 x^{3} + 418600684 x^{2} - 343425912 x + 745835231$	$16$	[0,8]	$2^{62}\cdot 43^{8}$	$2$	$96.2111622376$	$96.21116223761612$	✓	✓	?	$C_8\times C_2$ (as 16T5)	$[5, 23225]$	$2$	$7$	$15753.94986242651$
16.0.550...000.7	$x^{16} - 8 x^{15} + 132 x^{14} - 784 x^{13} + 6874 x^{12} - 31416 x^{11} + 183344 x^{10} - 646472 x^{9} + 2702073 x^{8} - 7244720 x^{7} + 23236220 x^{6} - 46753560 x^{5} + 136884272 x^{4} - 203161896 x^{3} + 502723444 x^{2} - 407897504 x + 702991681$	$16$	[0,8]	$2^{48}\cdot 5^{8}\cdot 29^{8}$	$3$	$96.3327566303$	$96.33275663033837$	✓	✓	?	$C_4\times C_2^2$ (as 16T2)	$[5, 10, 4080]$	$2$	$7$	$12198.951274811623$
16.0.560...000.13	$x^{16} + 208 x^{14} + 17576 x^{12} + 773344 x^{10} + 18821699 x^{8} + 246538552 x^{6} + 1525271644 x^{4} + 3011928816 x^{2} + 815730721$	$16$	[0,8]	$2^{48}\cdot 5^{12}\cdot 13^{8}$	$3$	$96.4470983825$	$96.44709838247663$	✓	✓	?	$C_4^2$ (as 16T4)	$[2, 104, 1040]$	$2$	$7$	$7114.135357253273$
16.0.630...808.1	$x^{16} + 150 x^{14} + 9022 x^{12} + 280004 x^{10} + 4809504 x^{8} + 45653880 x^{6} + 226136664 x^{4} + 493550656 x^{2} + 246775328$	$16$	[0,8]	$2^{37}\cdot 2777^{6}$	$2$	$97.1567144591$		✓		?	$C_4^3.(C_2\times S_4)$ (as 16T1540)	$[2, 4, 13224]$	$2$	$7$	$23245.1031727$
16.0.630...808.2	$x^{16} + 138 x^{14} + 7449 x^{12} + 200900 x^{10} + 2870766 x^{8} + 21354056 x^{6} + 77612932 x^{4} + 118011392 x^{2} + 61693832$	$16$	[0,8]	$2^{37}\cdot 2777^{6}$	$2$	$97.1567144591$		✓		?	$C_4^3.(C_2\times S_4)$ (as 16T1540)	$[2, 57110]$	$2$	$7$	$23245.1031727$
16.0.630...808.3	$x^{16} + 166 x^{14} + 7455 x^{12} + 156124 x^{10} + 1784928 x^{8} + 11686200 x^{6} + 43151292 x^{4} + 82221416 x^{2} + 61693832$	$16$	[0,8]	$2^{37}\cdot 2777^{6}$	$2$	$97.15671445907927$		✓		?	$C_4^3.(C_2\times S_4)$ (as 16T1540)	$[2, 50310]$	$2$	$7$	$23245.10317272762$
16.0.647...336.2	$x^{16} + 144 x^{14} + 8424 x^{12} + 256608 x^{10} + 4330260 x^{8} + 39680928 x^{6} + 178564176 x^{4} + 306110016 x^{2} + 701137441$	$16$	[0,8]	$2^{64}\cdot 37^{8}$	$2$	$97.3242004848$	$97.32420048477151$	✓	✓	?	$C_8\times C_2$ (as 16T5)	$[161330]$	$2$	$7$	$15753.94986242651$
16.0.652...000.5	$x^{16} + 80 x^{14} - 20 x^{13} + 3434 x^{12} - 160 x^{11} + 99940 x^{10} + 22440 x^{9} + 2045996 x^{8} + 925040 x^{7} + 29864470 x^{6} + 18829560 x^{5} + 298724599 x^{4} + 194588720 x^{3} + 1780212660 x^{2} + 775588320 x + 4571966921$	$16$	[0,8]	$2^{32}\cdot 5^{12}\cdot 53^{8}$	$3$	$97.3700581524$	$97.37005815238639$	✓	✓	?	$C_4\times C_2^2$ (as 16T2)	$[6, 28560]$	$2$	$7$	$7114.135357253273$
16.0.683...489.27	$x^{16} - 6 x^{15} + 136 x^{14} - 656 x^{13} + 8265 x^{12} - 32502 x^{11} + 294420 x^{10} - 939579 x^{9} + 6738726 x^{8} - 17057530 x^{7} + 101632369 x^{6} - 194147354 x^{5} + 987871066 x^{4} - 1282215295 x^{3} + 5669585782 x^{2} - 3792717441 x + 14754909041$	$16$	[0,8]	$17^{14}\cdot 67^{8}$	$2$	$97.6517897868$	$97.65178978680869$	✓	✓		$C_8\times C_2$ (as 16T5)	$[2, 2, 2, 2, 2, 24, 480]$	$2$	$7$	$3640.01221338$
16.0.780...064.1	$x^{16} - 8 x^{15} + 166 x^{14} - 968 x^{13} + 10922 x^{12} - 48692 x^{11} + 381910 x^{10} - 1294564 x^{9} + 7667398 x^{8} - 18508272 x^{7} + 86507434 x^{6} - 122570424 x^{5} + 495625354 x^{4} - 153572468 x^{3} + 1237648906 x^{2} + 1155456948 x + 1587808969$	$16$	[0,8]	$2^{36}\cdot 3^{12}\cdot 17^{6}\cdot 97^{4}$	$4$	$98.4622397028$	$440.32035169950314$	✓		?	$D_4^2:C_2^2$ (as 16T657)	$[2, 2, 2, 2, 2, 5634]$	$2$	$7$	$9072.35800888$
16.0.780...064.2	$x^{16} + 174 x^{14} - 164 x^{13} + 11648 x^{12} - 15708 x^{11} + 401124 x^{10} - 506040 x^{9} + 7714170 x^{8} - 7237928 x^{7} + 83714568 x^{6} - 33396192 x^{5} + 466924080 x^{4} + 125673152 x^{3} + 1316168472 x^{2} + 808621280 x + 1171252804$	$16$	[0,8]	$2^{36}\cdot 3^{12}\cdot 17^{6}\cdot 97^{4}$	$4$	$98.4622397028$	$440.32035169950314$	✓		?	$D_4^2:C_2^2$ (as 16T657)	$[2, 2, 2, 2, 2, 5926]$	$2$	$7$	$9072.35800888$
16.0.796...000.1	$x^{16} - 8 x^{15} + 323 x^{14} - 1972 x^{13} + 39783 x^{12} - 185618 x^{11} + 2417269 x^{10} - 8510506 x^{9} + 77623693 x^{8} - 201140128 x^{7} + 1308764896 x^{6} - 2362029700 x^{5} + 10813266968 x^{4} - 10291651056 x^{3} + 35038013272 x^{2} + 10096911248 x + 18671230096$	$16$	[0,8]	$2^{16}\cdot 3^{8}\cdot 5^{12}\cdot 29^{4}\cdot 181^{4}$	$5$	$98.5909995051$	$839.1824883979549$	✓		?	$C_2^3.C_2^4$ (as 16T203)	$[2, 2, 2, 2, 27880]$	$2$	$7$	$3121.7160225$
16.0.803...000.2	$x^{16} - 8 x^{15} + 92 x^{14} - 504 x^{13} + 3674 x^{12} - 15856 x^{11} + 91312 x^{10} - 322272 x^{9} + 1555101 x^{8} - 4442312 x^{7} + 18083476 x^{6} - 39901264 x^{5} + 135999792 x^{4} - 210112840 x^{3} + 592976072 x^{2} - 493914464 x + 1140903199$	$16$	[0,8]	$2^{44}\cdot 5^{8}\cdot 43^{8}$	$3$	$98.6396943889$	$98.63969438885592$	✓	✓		$C_4\times C_2^2$ (as 16T2)	$[5, 60900]$	$2$	$7$	$12198.951274811623$
16.0.987...296.5	$x^{16} + 208 x^{14} + 17576 x^{12} + 773344 x^{10} + 18850260 x^{8} + 249508896 x^{6} + 1621807824 x^{4} + 4015905088 x^{2} + 815730721$	$16$	[0,8]	$2^{64}\cdot 3^{8}\cdot 13^{8}$	$3$	$99.9199679744$	$99.91996797437437$	✓	✓	?	$C_8\times C_2$ (as 16T5)	$[18, 8082]$	$2$	$7$	$11964.310642723332$
16.0.107...096.1	$x^{16} - 8 x^{15} + 204 x^{14} - 1260 x^{13} + 15852 x^{12} - 77252 x^{11} + 610208 x^{10} - 2252232 x^{9} + 11890001 x^{8} - 29764972 x^{7} + 104949032 x^{6} - 121487192 x^{5} + 325754186 x^{4} - 21775820 x^{3} + 464127720 x^{2} + 125219124 x + 530507567$	$16$	[0,8]	$2^{44}\cdot 223^{8}$	$2$	$100.45809067$	$525.7287874917092$	✓		?	$(C_2^2\times C_4):S_4$ (as 16T764)	$[2, 2, 2, 2, 8626]$	$2$	$7$	$14766.512467$
16.0.108...969.1	$x^{16} - 6 x^{15} + 144 x^{14} - 698 x^{13} + 9259 x^{12} - 36670 x^{11} + 348512 x^{10} - 1121047 x^{9} + 8415948 x^{8} - 21472404 x^{7} + 133700199 x^{6} - 257288560 x^{5} + 1366555346 x^{4} - 1785014155 x^{3} + 8231592580 x^{2} - 5534375147 x + 22435022501$	$16$	[0,8]	$17^{14}\cdot 71^{8}$	$2$	$100.52451364$	$100.52451363976539$	✓	✓		$C_8\times C_2$ (as 16T5)	$[21, 21, 1071]$	$2$	$7$	$3640.01221338$
16.0.109...944.2	$x^{16} - 8 x^{15} + 108 x^{14} - 616 x^{13} + 4918 x^{12} - 21864 x^{11} + 129180 x^{10} - 459208 x^{9} + 2169449 x^{8} - 6139600 x^{7} + 23985408 x^{6} - 52180400 x^{5} + 170908336 x^{4} - 261201616 x^{3} + 718504936 x^{2} - 595699024 x + 1365814462$	$16$	[0,8]	$2^{62}\cdot 47^{8}$	$2$	$100.586607798$	$100.58660779811939$	✓	✓	?	$C_8\times C_2$ (as 16T5)	$[8, 8, 4520]$	$2$	$7$	$15753.94986242651$
16.0.114...776.5	$x^{16} + 84 x^{14} + 3638 x^{12} - 24 x^{11} + 102884 x^{10} + 2520 x^{9} + 2027175 x^{8} + 83712 x^{7} + 27955244 x^{6} + 589920 x^{5} + 259368858 x^{4} - 6750888 x^{3} + 1466638388 x^{2} - 85763016 x + 3821989918$	$16$	[0,8]	$2^{48}\cdot 3^{8}\cdot 53^{8}$	$3$	$100.876161703$	$100.87616170334793$	✓	✓	?	$C_4\times C_2^2$ (as 16T2)	$[3, 3, 59160]$	$2$	$7$	$11964.310642723332$
16.0.116...000.14	$x^{16} - 8 x^{15} + 28 x^{14} - 56 x^{13} + 340 x^{12} - 1676 x^{11} + 7958 x^{10} - 24808 x^{9} + 95421 x^{8} - 250700 x^{7} + 870290 x^{6} - 1819760 x^{5} + 5551070 x^{4} - 8321000 x^{3} + 19889100 x^{2} - 15996200 x + 31810900$	$16$	[0,8]	$2^{32}\cdot 3^{8}\cdot 5^{12}\cdot 19^{8}$	$4$	$100.977571655$	$100.97757165528908$	✓	✓		$C_4\times C_2^2$ (as 16T2)	$[2, 4, 4, 80, 80]$	$2$	$7$	$54685.79274709562$
16.0.116...000.24	$x^{16} - 8 x^{15} + 20 x^{14} + 296 x^{12} - 2140 x^{11} + 6826 x^{10} - 13560 x^{9} + 60301 x^{8} - 185100 x^{7} + 729070 x^{6} - 1570952 x^{5} + 5955986 x^{4} - 9495240 x^{3} + 31551500 x^{2} - 27037000 x + 79747180$	$16$	[0,8]	$2^{32}\cdot 3^{8}\cdot 5^{12}\cdot 19^{8}$	$4$	$100.977571655$	$100.97757165528908$	✓	✓		$C_4\times C_2^2$ (as 16T2)	$[2, 2, 2, 4, 4, 16, 80]$	$2$	$7$	$58630.77118534252$