Number field search results

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

Results (1-50 of 522 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
20.0.177...000.1	$x^{20} + 55 x^{18} + 1265 x^{16} + 15950 x^{14} + 121550 x^{12} + 581625 x^{10} + 1754500 x^{8} + 3251875 x^{6} + 3478750 x^{4} + 1890625 x^{2} + 378125$	$20$	[0,10]	$2^{20}\cdot 5^{15}\cdot 11^{18}$	$3$	$57.8776535137$	$57.87765351369302$	✓	✓	?	$C_{20}$ (as 20T1)	$[2, 2, 2762]$	$2$	$9$	$140644.599182$
20.0.401...125.1	$x^{20} + 60 x^{18} + 1530 x^{16} - 61 x^{15} + 21600 x^{14} - 2745 x^{13} + 184275 x^{12} - 49410 x^{11} + 976936 x^{10} - 452925 x^{9} + 3246330 x^{8} - 2223450 x^{7} + 7022340 x^{6} - 5859721 x^{5} + 10764225 x^{4} - 10075065 x^{3} + 9995400 x^{2} - 13549320 x + 18662101$	$20$	[0,10]	$5^{35}\cdot 13^{10}$	$2$	$60.279436489$	$60.27943648904789$	✓	✓	?	$C_{20}$ (as 20T1)	$[15362]$	$2$	$9$	$161406.837641$
20.0.661...481.3	$x^{20} - x^{19} + 76 x^{18} - 63 x^{17} + 2419 x^{16} - 1600 x^{15} + 41961 x^{14} - 21161 x^{13} + 433108 x^{12} - 158015 x^{11} + 2727803 x^{10} - 642587 x^{9} + 10282204 x^{8} - 563649 x^{7} + 21527189 x^{6} + 7639032 x^{5} + 21771895 x^{4} + 31792177 x^{3} + 2367428 x^{2} + 21109951 x + 74991181$	$20$	[0,10]	$3^{10}\cdot 11^{18}\cdot 17^{10}$	$3$	$61.8071196104$	$61.807119610446264$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[29110]$	$2$	$9$	$125582.779517$
20.0.150...000.1	$x^{20} - 4 x^{19} + 40 x^{18} - 124 x^{17} + 815 x^{16} - 2164 x^{15} + 10834 x^{14} - 24620 x^{13} + 101774 x^{12} - 198776 x^{11} + 710860 x^{10} - 1188452 x^{9} + 3826719 x^{8} - 5429272 x^{7} + 15991074 x^{6} - 18262392 x^{5} + 47151361 x^{4} - 38741504 x^{3} + 92992732 x^{2} - 43101732 x + 90594151$	$20$	[0,10]	$2^{30}\cdot 5^{15}\cdot 11^{16}$	$3$	$64.400115295$	$64.4001152950292$	✓	✓	?	$C_{20}$ (as 20T1)	$[22082]$	$2$	$9$	$140644.599182$
20.0.174...912.1	$x^{20} + 61 x^{18} + 1529 x^{16} + 20608 x^{14} + 164027 x^{12} + 798075 x^{10} + 2385289 x^{8} + 4315198 x^{6} + 4539685 x^{4} + 2528263 x^{2} + 571787$	$20$	[0,10]	$2^{36}\cdot 83^{7}\cdot 983^{4}$	$3$	$64.8697207055$		✓		?	$C_4^4.(C_2^2\times S_5)$ (as 20T807)	$[2, 10696]$	$2$	$9$	$272473.726744$
20.0.176...125.1	$x^{20} - 3 x^{19} + 49 x^{18} - 231 x^{17} + 1502 x^{16} - 7304 x^{15} + 33532 x^{14} - 137685 x^{13} + 515016 x^{12} - 1709342 x^{11} + 5124144 x^{10} - 13137281 x^{9} + 30194239 x^{8} - 57126905 x^{7} + 97213725 x^{6} - 130092378 x^{5} + 155067625 x^{4} - 134835408 x^{3} + 98000344 x^{2} - 43507098 x + 11369359$	$20$	[0,10]	$5^{14}\cdot 6029^{7}$	$2$	$64.9179582675$	$296.8914190717321$	✓		?	$C_4:S_5$ (as 20T120)	$[16350]$	$2$	$9$	$341439.528105$
20.0.179...000.2	$x^{20} + 64 x^{18} + 1623 x^{16} + 21179 x^{14} + 153351 x^{12} + 619709 x^{10} + 1364983 x^{8} + 1646074 x^{6} + 1073921 x^{4} + 351315 x^{2} + 44521$	$20$	[0,10]	$2^{20}\cdot 5^{10}\cdot 211^{10}$	$3$	$64.9615270756$		✓		?	$C_2^8.(C_5\times D_{10})$ (as 20T538)	$[2, 5782]$	$2$	$9$	$454775.127492$
20.0.201...769.2	$x^{20} - 8 x^{19} + 57 x^{18} - 268 x^{17} + 1305 x^{16} - 4868 x^{15} + 18820 x^{14} - 58074 x^{13} + 190380 x^{12} - 496518 x^{11} + 1417274 x^{10} - 3119270 x^{9} + 7888313 x^{8} - 14323286 x^{7} + 32582283 x^{6} - 46229958 x^{5} + 96425775 x^{4} - 94586934 x^{3} + 187924326 x^{2} - 93204582 x + 185992621$	$20$	[0,10]	$3^{10}\cdot 11^{18}\cdot 19^{10}$	$3$	$65.3417624568$	$65.34176245676638$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[44110]$	$2$	$9$	$125582.779517$
20.0.275...625.3	$x^{20} - 8 x^{19} + 51 x^{18} - 216 x^{17} + 990 x^{16} - 3670 x^{15} + 15425 x^{14} - 51533 x^{13} + 190246 x^{12} - 551591 x^{11} + 1770300 x^{10} - 4438083 x^{9} + 12400559 x^{8} - 26337315 x^{7} + 62549497 x^{6} - 106576405 x^{5} + 207253409 x^{4} - 256367111 x^{3} + 390090877 x^{2} - 272454303 x + 305078741$	$20$	[0,10]	$5^{10}\cdot 11^{16}\cdot 19^{10}$	$3$	$66.3706316384$	$66.37063163840642$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[5, 9020]$	$2$	$9$	$140644.599182$
20.0.278...601.1	$x^{20} - 6 x^{19} + x^{18} + 120 x^{17} - 435 x^{16} - 90 x^{15} + 8221 x^{14} - 47673 x^{13} + 188347 x^{12} - 585015 x^{11} + 1564827 x^{10} - 3594273 x^{9} + 7448650 x^{8} - 13413591 x^{7} + 22178110 x^{6} - 31190787 x^{5} + 40784529 x^{4} - 42150471 x^{3} + 41501494 x^{2} - 25350279 x + 16791547$	$20$	[0,10]	$11^{10}\cdot 401^{10}$	$2$	$66.4153596693$	$66.41535966928132$	✓	✓		$D_{10}$ (as 20T4)	$[59, 354]$	$2$	$9$	$795087.603907$
20.0.336...000.5	$x^{20} - 10 x^{19} + 63 x^{18} - 282 x^{17} + 1160 x^{16} - 4180 x^{15} + 14148 x^{14} - 41798 x^{13} + 119190 x^{12} - 304054 x^{11} + 755996 x^{10} - 1649418 x^{9} + 3590458 x^{8} - 6710840 x^{7} + 12787473 x^{6} - 19605652 x^{5} + 32733776 x^{4} - 38415016 x^{3} + 55028485 x^{2} - 38299500 x + 51338101$	$20$	[0,10]	$2^{20}\cdot 3^{10}\cdot 5^{10}\cdot 11^{18}$	$4$	$67.0392337677$	$67.03923376773275$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[2, 7964]$	$2$	$9$	$281202.490766$
20.0.336...000.6	$x^{20} - 10 x^{19} + 101 x^{18} - 624 x^{17} + 3723 x^{16} - 16932 x^{15} + 73284 x^{14} - 259722 x^{13} + 871872 x^{12} - 2466574 x^{11} + 6580762 x^{10} - 14901524 x^{9} + 31769904 x^{8} - 57031380 x^{7} + 96245877 x^{6} - 132713622 x^{5} + 176867685 x^{4} - 178742094 x^{3} + 183092351 x^{2} - 109373078 x + 175645009$	$20$	[0,10]	$2^{20}\cdot 3^{10}\cdot 5^{10}\cdot 11^{18}$	$4$	$67.0392337677$	$67.03923376773275$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[2, 2, 7964]$	$2$	$9$	$140644.599182$
20.0.336...000.7	$x^{20} - 2 x^{19} + 31 x^{18} - 50 x^{17} + 618 x^{16} - 936 x^{15} + 8702 x^{14} - 11788 x^{13} + 92914 x^{12} - 115100 x^{11} + 776698 x^{10} - 862794 x^{9} + 5053831 x^{8} - 4931470 x^{7} + 25267471 x^{6} - 20925574 x^{5} + 92642076 x^{4} - 59924902 x^{3} + 223626538 x^{2} - 87181604 x + 261399601$	$20$	[0,10]	$2^{20}\cdot 3^{10}\cdot 5^{10}\cdot 11^{18}$	$4$	$67.0392337677$	$67.03923376773275$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[2, 22444]$	$2$	$9$	$125582.779517$
20.0.350...568.1	$x^{20} + 34 x^{18} + 505 x^{16} + 4309 x^{14} + 23345 x^{12} + 83662 x^{10} + 199918 x^{8} + 312140 x^{6} + 300670 x^{4} + 157108 x^{2} + 31727$	$20$	[0,10]	$2^{20}\cdot 397^{2}\cdot 401^{8}\cdot 31727$	$4$	$67.1797287267$		✓		?	$C_2^{10}.C_2\wr D_5$ (as 20T905)	$[10268]$	$2$	$9$	$735584.085831$
20.0.356...625.2	$x^{20} - 10 x^{19} + 75 x^{18} - 390 x^{17} + 1875 x^{16} - 7450 x^{15} + 28295 x^{14} - 92265 x^{13} + 292905 x^{12} - 807385 x^{11} + 2196472 x^{10} - 5146960 x^{9} + 12113975 x^{8} - 23857065 x^{7} + 48478500 x^{6} - 77459025 x^{5} + 134373945 x^{4} - 159513940 x^{3} + 232462355 x^{2} - 158171460 x + 190774501$	$20$	[0,10]	$5^{34}\cdot 19^{10}$	$2$	$67.2397063085$	$67.23970630847677$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[11, 6820]$	$2$	$9$	$161406.837641$
20.0.474...016.1	$x^{20} + 36 x^{18} + 568 x^{16} + 5155 x^{14} + 29666 x^{12} + 112387 x^{10} + 281230 x^{8} + 452645 x^{6} + 438787 x^{4} + 223265 x^{2} + 42899$	$20$	[0,10]	$2^{20}\cdot 397^{2}\cdot 401^{8}\cdot 42899$	$4$	$68.2007505065$		✓			$C_2^{10}.C_2\wr D_5$ (as 20T905)	$[18954]$	$2$	$9$	$735584.085831$
20.0.512...248.4	$x^{20} + 50 x^{18} + 976 x^{16} + 9922 x^{14} + 58835 x^{12} + 214634 x^{10} + 489345 x^{8} + 683880 x^{6} + 547553 x^{4} + 212662 x^{2} + 24217$	$20$	[0,10]	$2^{20}\cdot 61^{7}\cdot 397^{7}$	$3$	$68.4655522051$		✓		?	$C_2\wr S_5$ (as 20T285)	$[2, 2, 2, 2216]$	$2$	$9$	$780177.561162$
20.0.512...248.5	$x^{20} + 67 x^{18} + 1764 x^{16} + 24920 x^{14} + 212516 x^{12} + 1151718 x^{10} + 4031713 x^{8} + 9017461 x^{6} + 12336676 x^{4} + 9309132 x^{2} + 2930257$	$20$	[0,10]	$2^{20}\cdot 61^{7}\cdot 397^{7}$	$3$	$68.4655522051$		✓		?	$C_2\wr S_5$ (as 20T285)	$[2, 2, 2, 1536]$	$2$	$9$	$780177.561162$
20.0.512...248.6	$x^{20} + 71 x^{18} + 1978 x^{16} + 29031 x^{14} + 247863 x^{12} + 1262043 x^{10} + 3740109 x^{8} + 6000283 x^{6} + 4599194 x^{4} + 1262061 x^{2} + 24217$	$20$	[0,10]	$2^{20}\cdot 61^{7}\cdot 397^{7}$	$3$	$68.4655522051$		✓		?	$C_2^5:S_5$ (as 20T291)	$[2, 2, 2, 1482]$	$2$	$9$	$780177.561162$
20.0.512...248.7	$x^{20} + 47 x^{18} + 931 x^{16} + 10190 x^{14} + 67793 x^{12} + 283555 x^{10} + 743210 x^{8} + 1173989 x^{6} + 1018118 x^{4} + 387472 x^{2} + 24217$	$20$	[0,10]	$2^{20}\cdot 61^{7}\cdot 397^{7}$	$3$	$68.4655522051$	$7120.680475174712$	✓		?	$C_2^9.S_5$ (as 20T674)	$[2, 2, 3002]$	$2$	$9$	$780177.561162$
20.0.541...000.1	$x^{20} + 85 x^{18} + 2910 x^{16} + 51540 x^{14} + 508110 x^{12} + 2829085 x^{10} + 8749220 x^{8} + 14430600 x^{6} + 12243450 x^{4} + 4786875 x^{2} + 595125$	$20$	[0,10]	$2^{20}\cdot 3^{6}\cdot 5^{17}\cdot 23^{6}\cdot 89^{4}$	$5$	$68.6573802195$		✓		?	$C_2^8.(C_4\times S_5)$ (as 20T802)	$[2, 2, 2, 3948]$	$2$	$9$	$366014.001413$
20.0.586...125.1	$x^{20} + 80 x^{18} + 2720 x^{16} - 101 x^{15} + 51200 x^{14} - 6060 x^{13} + 582400 x^{12} - 145440 x^{11} + 4111321 x^{10} - 1777600 x^{9} + 18020840 x^{8} - 11635200 x^{7} + 49539760 x^{6} - 40331421 x^{5} + 89987200 x^{4} - 82660420 x^{3} + 98054400 x^{2} - 123793680 x + 161532401$	$20$	[0,10]	$5^{35}\cdot 17^{10}$	$2$	$68.9321728381$	$68.9321728381389$	✓	✓	?	$C_{20}$ (as 20T1)	$[11, 5302]$	$2$	$9$	$161406.837641$
20.0.748...625.3	$x^{20} - 8 x^{19} + 85 x^{18} - 452 x^{17} + 2805 x^{16} - 11164 x^{15} + 50196 x^{14} - 154322 x^{13} + 545148 x^{12} - 1288958 x^{11} + 3763442 x^{10} - 6455702 x^{9} + 17066125 x^{8} - 18471830 x^{7} + 58248347 x^{6} - 42951490 x^{5} + 208776667 x^{4} - 194745002 x^{3} + 559410178 x^{2} - 418237586 x + 471865021$	$20$	[0,10]	$5^{10}\cdot 11^{18}\cdot 13^{10}$	$3$	$69.7766467823$	$69.77664678227555$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[2, 34550]$	$2$	$9$	$140644.599182$
20.0.842...000.1	$x^{20} + 64 x^{18} + 1705 x^{16} + 24508 x^{14} + 206476 x^{12} + 1041438 x^{10} + 3099094 x^{8} + 5142340 x^{6} + 4189555 x^{4} + 1286450 x^{2} + 86725$	$20$	[0,10]	$2^{36}\cdot 5^{12}\cdot 3469^{5}$	$3$	$70.19191154318071$		✓		?	$C_2^8.D_5^2:C_2^2$ (as 20T756)	$[2, 9408]$	$2$	$9$	$828338.9338584389$
20.0.842...000.2	$x^{20} + 64 x^{18} + 1705 x^{16} + 24508 x^{14} + 206476 x^{12} + 1041438 x^{10} + 3099094 x^{8} + 5142340 x^{6} + 4189555 x^{4} + 1286450 x^{2} + 86725$	$20$	[0,10]	$2^{36}\cdot 5^{12}\cdot 3469^{5}$	$3$	$70.19191154318071$		✓		?	$C_2^8.D_5^2:C_2^2$ (as 20T756)	$[2, 9408]$	$2$	$9$	$828338.9338584389$
20.0.117...144.2	$x^{20} + 15 x^{18} + 225 x^{16} + 5124 x^{14} + 79368 x^{12} + 760574 x^{10} + 4742038 x^{8} + 19589641 x^{6} + 52211443 x^{4} + 81835911 x^{2} + 57592921$	$20$	[0,10]	$2^{20}\cdot 11^{18}\cdot 17^{10}$	$3$	$71.3687142899$	$71.3687142898531$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[5, 9020]$	$2$	$9$	$281202.490766$
20.0.118...000.1	$x^{20} + 29 x^{18} + 364 x^{16} + 2594 x^{14} + 11572 x^{12} + 33605 x^{10} + 64013 x^{8} + 78578 x^{6} + 59173 x^{4} + 24529 x^{2} + 4211$	$20$	[0,10]	$2^{20}\cdot 5^{14}\cdot 11^{4}\cdot 2339^{4}\cdot 4211$	$5$	$71.3859662244$		✓		?	$C_2^{10}.\SOPlus(4,4)$ (as 20T1023)	$[11210]$	$2$	$9$	$1774683.71463$
20.0.147...000.1	$x^{20} + 31 x^{18} + 418 x^{16} + 3214 x^{14} + 15520 x^{12} + 48835 x^{10} + 100439 x^{8} + 131422 x^{6} + 102121 x^{4} + 40355 x^{2} + 5249$	$20$	[0,10]	$2^{20}\cdot 5^{14}\cdot 11^{4}\cdot 29\cdot 181\cdot 2339^{4}$	$6$	$72.1767643145$		✓		?	$C_2^{10}.\SOPlus(4,4)$ (as 20T1023)	$[2, 6606]$	$2$	$9$	$1774683.71463$
20.0.185...625.1	$x^{20} - 8 x^{19} + 61 x^{18} - 288 x^{17} + 1519 x^{16} - 5990 x^{15} + 27289 x^{14} - 94767 x^{13} + 377005 x^{12} - 1137389 x^{11} + 3936196 x^{10} - 10220558 x^{9} + 30705792 x^{8} - 67154201 x^{7} + 172058932 x^{6} - 301380451 x^{5} + 638638334 x^{4} - 811477632 x^{3} + 1365577686 x^{2} - 975548791 x + 1232556799$	$20$	[0,10]	$5^{10}\cdot 11^{16}\cdot 23^{10}$	$3$	$73.0235712175$	$73.0235712175271$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[4, 4, 4, 1212]$	$2$	$9$	$140644.599182$
20.0.229...000.1	$x^{20} + 61 x^{18} + 1544 x^{16} + 21554 x^{14} + 184919 x^{12} + 1020980 x^{10} + 3666211 x^{8} + 8396334 x^{6} + 11588274 x^{4} + 8541234 x^{2} + 2518569$	$20$	[0,10]	$2^{20}\cdot 3^{6}\cdot 5^{14}\cdot 23^{8}\cdot 89^{4}$	$5$	$73.7928885744$		✓		?	$C_2^8.(C_2^2\times S_5)$ (as 20T794)	$[2, 2, 16896]$	$2$	$9$	$366014.001413$
20.0.283...000.1	$x^{20} + 56 x^{18} + 1198 x^{16} + 12323 x^{14} + 64301 x^{12} + 175867 x^{10} + 255321 x^{8} + 200233 x^{6} + 83413 x^{4} + 17061 x^{2} + 1331$	$20$	[0,10]	$2^{20}\cdot 5^{14}\cdot 11^{11}\cdot 353^{4}$	$4$	$74.5812944172$		✓		?	$A_5^2:(C_2\times D_4)$ (as 20T658)	$[2, 6536]$	$2$	$9$	$3436243.55903$
20.0.284...000.12	$x^{20} - 6 x^{19} + 17 x^{18} - 32 x^{17} + 250 x^{16} - 1020 x^{15} + 4412 x^{14} - 11806 x^{13} + 44062 x^{12} - 106082 x^{11} + 423020 x^{10} - 904550 x^{9} + 3284704 x^{8} - 5732304 x^{7} + 18813981 x^{6} - 26215344 x^{5} + 75066884 x^{4} - 75054826 x^{3} + 171978345 x^{2} - 92300794 x + 161255599$	$20$	[0,10]	$2^{30}\cdot 3^{10}\cdot 5^{10}\cdot 11^{16}$	$4$	$74.5941502779$	$74.59415027789584$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[72820]$	$2$	$9$	$530208.250733$
20.0.356...401.1	$x^{20} - 6 x^{19} + 17 x^{18} - 30 x^{17} - 56 x^{16} + 282 x^{15} - 1314 x^{14} + 6402 x^{13} - 18345 x^{12} + 53466 x^{11} - 50276 x^{10} - 121860 x^{9} - 59897 x^{8} - 256473 x^{7} + 2786196 x^{6} - 16211013 x^{5} + 92157240 x^{4} - 196740684 x^{3} + 364129143 x^{2} - 482420925 x + 541725625$	$20$	[0,10]	$3^{10}\cdot 7^{10}\cdot 271^{10}$	$3$	$75.4387168502$	$75.43871685016919$	✓	✓		$D_{10}$ (as 20T4)	$[58, 174]$	$6$	$9$	$80801816.0664$
20.0.552...000.1	$x^{20} + 75 x^{18} + 2202 x^{16} + 32636 x^{14} + 263150 x^{12} + 1158186 x^{10} + 2660692 x^{8} + 2931649 x^{6} + 1587038 x^{4} + 401467 x^{2} + 36497$	$20$	[0,10]	$2^{10}\cdot 5^{4}\cdot 36497^{7}$	$3$	$77.1079234145$	$21657.539726638308$	✓			$C_2^9.C_2^4:S_5$ (as 20T966)	$[11164]$	$2$	$9$	$16082097.8222$
20.0.596...000.5	$x^{20} + 44 x^{18} + 1001 x^{16} + 14036 x^{14} + 132880 x^{12} + 855536 x^{10} + 3758139 x^{8} + 10624284 x^{6} + 18612099 x^{4} + 15877620 x^{2} + 7144929$	$20$	[0,10]	$2^{40}\cdot 5^{10}\cdot 11^{18}$	$3$	$77.4102393241$	$77.4102393241335$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[2, 11346]$	$2$	$9$	$1589230.00872$
20.0.619...625.1	$x^{20} - 6 x^{19} + 11 x^{18} + 66 x^{17} - 310 x^{16} + 6 x^{15} + 9149 x^{14} - 62535 x^{13} + 298054 x^{12} - 1076553 x^{11} + 3378009 x^{10} - 8889480 x^{9} + 21295798 x^{8} - 43398393 x^{7} + 82262609 x^{6} - 129433389 x^{5} + 193238486 x^{4} - 220673892 x^{3} + 249064514 x^{2} - 165797355 x + 128216149$	$20$	[0,10]	$3^{10}\cdot 5^{10}\cdot 401^{10}$	$3$	$77.556431068$	$77.55643106796495$	✓	✓		$D_{10}$ (as 20T4)	$[2, 2, 2, 2, 22, 198]$	$2$	$9$	$795087.603907$
20.0.634...144.1	$x^{20} + 70 x^{18} + 1764 x^{16} + 20868 x^{14} + 133613 x^{12} + 490412 x^{10} + 1030884 x^{8} + 1168480 x^{6} + 610638 x^{4} + 98758 x^{2} + 4489$	$20$	[0,10]	$2^{20}\cdot 67^{6}\cdot 401^{8}$	$3$	$77.6444084466$	$1796.2794643785887$	✓			$C_4^4:D_{10}$ (as 20T313)	$[4, 8516]$	$2$	$9$	$4253434.60225$
20.0.634...144.2	$x^{20} + 74 x^{18} + 2388 x^{16} + 44138 x^{14} + 515533 x^{12} + 3953635 x^{10} + 19980091 x^{8} + 64660896 x^{6} + 124191468 x^{4} + 117809316 x^{2} + 29452329$	$20$	[0,10]	$2^{20}\cdot 67^{6}\cdot 401^{8}$	$3$	$77.6444084466$	$1796.2794643785887$	✓		?	$C_4^4:D_{10}$ (as 20T313)	$[4, 4360]$	$2$	$9$	$3010209.82045$
20.0.634...144.3	$x^{20} + 72 x^{18} + 2148 x^{16} + 34469 x^{14} + 323346 x^{12} + 1806187 x^{10} + 5857425 x^{8} + 10134540 x^{6} + 7361131 x^{4} + 395769 x^{2} + 4489$	$20$	[0,10]	$2^{20}\cdot 67^{6}\cdot 401^{8}$	$3$	$77.6444084466$	$627.8489962247917$	✓		?	$C_2^4.C_2\wr D_5$ (as 20T324)	$[4, 4072]$	$2$	$9$	$4253434.60225$
20.0.634...144.4	$x^{20} + 73 x^{18} + 2072 x^{16} + 29319 x^{14} + 223804 x^{12} + 942126 x^{10} + 2139944 x^{8} + 2415464 x^{6} + 1122426 x^{4} + 184585 x^{2} + 4489$	$20$	[0,10]	$2^{20}\cdot 67^{6}\cdot 401^{8}$	$3$	$77.6444084466$	$627.8489962247917$	✓			$C_2^4.C_2\wr D_5$ (as 20T324)	$[2, 8144]$	$2$	$9$	$3010209.82045$
20.0.822...144.1	$x^{20} + 80 x^{18} + 2725 x^{16} + 52004 x^{14} + 616265 x^{12} + 4747128 x^{10} + 24125607 x^{8} + 80059320 x^{6} + 166415810 x^{4} + 196170128 x^{2} + 99859859$	$20$	[0,10]	$2^{40}\cdot 11^{17}\cdot 23^{6}$	$3$	$78.6614820292$		✓		?	$C_2\times C_4^4:C_{10}$ (as 20T326)	$[2, 2, 3888]$	$2$	$9$	$2417625.83378$
20.0.822...144.2	$x^{20} + 100 x^{18} + 3758 x^{16} + 74104 x^{14} + 870719 x^{12} + 6447376 x^{10} + 30638916 x^{8} + 92413816 x^{6} + 169077370 x^{4} + 168727724 x^{2} + 69135539$	$20$	[0,10]	$2^{40}\cdot 11^{17}\cdot 23^{6}$	$3$	$78.6614820292$		✓		?	$C_2\times C_4^4:C_{10}$ (as 20T326)	$[2, 2, 3804]$	$2$	$9$	$2545371.69018$
20.0.972...256.7	$x^{20} + 25 x^{18} + 284 x^{16} + 1974 x^{14} + 9662 x^{12} + 36994 x^{10} + 121993 x^{8} + 375417 x^{6} + 1130970 x^{4} + 3394120 x^{2} + 10182481$	$20$	[0,10]	$2^{20}\cdot 3^{10}\cdot 7^{10}\cdot 11^{18}$	$4$	$79.3218911136$	$79.32189111355456$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[2, 8184]$	$2$	$9$	$1746210.04277$
20.0.972...256.11	$x^{20} - 2 x^{19} + 25 x^{18} - 48 x^{17} + 973 x^{16} - 1898 x^{15} + 14571 x^{14} - 27244 x^{13} + 266341 x^{12} - 505438 x^{11} + 2417591 x^{10} - 4262356 x^{9} + 24070297 x^{8} - 44565012 x^{7} + 126200543 x^{6} - 278561850 x^{5} + 778793317 x^{4} - 1420801804 x^{3} + 2346260051 x^{2} - 1529298058 x + 1335925537$	$20$	[0,10]	$2^{20}\cdot 3^{10}\cdot 7^{10}\cdot 11^{18}$	$4$	$79.3218911136$	$79.32189111355456$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[2, 22220]$	$2$	$9$	$1415140.16249$
20.0.994...136.2	$x^{20} - 10 x^{19} + 41 x^{18} - 84 x^{17} + 344 x^{16} - 2140 x^{15} + 5426 x^{14} - 736 x^{13} + 9401 x^{12} - 144650 x^{11} + 166397 x^{10} + 733364 x^{9} + 16678 x^{8} - 6490784 x^{7} - 1740120 x^{6} + 33068752 x^{5} + 28421816 x^{4} - 122025696 x^{3} - 162530192 x^{2} + 230512192 x + 420418912$	$20$	[0,10]	$2^{30}\cdot 11^{16}\cdot 17^{10}$	$3$	$79.4115370907$	$79.41153709068654$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[19910]$	$2$	$9$	$3338983.62101$
20.0.100...936.1	$x^{20} + 34 x^{18} + 499 x^{16} + 4140 x^{14} + 21342 x^{12} + 70676 x^{10} + 149837 x^{8} + 195446 x^{6} + 142261 x^{4} + 45084 x^{2} + 1521$	$20$	[0,10]	$2^{20}\cdot 3^{2}\cdot 13^{2}\cdot 401^{8}\cdot 9721^{2}$	$5$	$79.4630626851$	$47228.655030291164$	✓			$C_2^6.C_2^8:D_5$ (as 20T853)	$[2, 2, 3954]$	$2$	$9$	$4069509.61588$
20.0.109...625.2	$x^{20} - 8 x^{19} + 11 x^{18} + 72 x^{17} - 26 x^{16} - 1320 x^{15} + 1224 x^{14} + 11878 x^{13} - 4180 x^{12} - 102854 x^{11} + 8986 x^{10} + 682712 x^{9} + 349107 x^{8} - 3332126 x^{7} - 2328113 x^{6} + 10868044 x^{5} + 26804764 x^{4} - 46370542 x^{3} - 21459284 x^{2} - 30430726 x + 154880969$	$20$	[0,10]	$5^{10}\cdot 11^{18}\cdot 17^{10}$	$3$	$79.7926483094$	$79.79264830943607$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[17416]$	$2$	$9$	$3338983.62101$
20.0.115...304.2	$x^{20} - 2 x^{19} - 15 x^{18} + 26 x^{17} + 174 x^{16} - 248 x^{15} - 203 x^{14} + 342 x^{13} + 4287 x^{12} + 906 x^{11} + 20385 x^{10} - 40518 x^{9} + 179119 x^{8} - 154430 x^{7} + 766773 x^{6} - 477652 x^{5} + 2036322 x^{4} - 264554 x^{3} + 4014037 x^{2} + 734442 x + 3286971$	$20$	[0,10]	$2^{30}\cdot 41^{18}$	$2$	$79.9927200273$	$79.99272002725068$	✓	✓		$C_2\times C_{10}$ (as 20T3)	$[31310]$	$2$	$9$	$5104264.63655$
20.0.142...976.1	$x^{20} - 4 x^{19} + 34 x^{18} - 132 x^{17} + 709 x^{16} - 2396 x^{15} + 8264 x^{14} - 24012 x^{13} + 37584 x^{12} - 68008 x^{11} + 3274 x^{10} + 280784 x^{9} + 361817 x^{8} - 3064120 x^{7} + 10758886 x^{6} - 28153856 x^{5} + 55154491 x^{4} - 84942664 x^{3} + 107321392 x^{2} - 92496540 x + 37311425$	$20$	[0,10]	$2^{30}\cdot 19^{10}\cdot 43^{10}$	$3$	$80.8455317256$	$80.84553172563095$	✓	✓	?	$D_{10}$ (as 20T4)	$[62, 496]$	$2$	$9$	$4747366.99665$
20.0.142...976.2	$x^{20} - 4 x^{19} + 34 x^{18} - 168 x^{17} + 939 x^{16} - 3852 x^{15} + 16802 x^{14} - 61676 x^{13} + 215150 x^{12} - 689048 x^{11} + 2100216 x^{10} - 5913476 x^{9} + 15156257 x^{8} - 34282576 x^{7} + 70051658 x^{6} - 119636172 x^{5} + 180714223 x^{4} - 203873920 x^{3} + 201449168 x^{2} - 105586732 x + 53218751$	$20$	[0,10]	$2^{30}\cdot 19^{10}\cdot 43^{10}$	$3$	$80.8455317256$	$80.84553172563095$	✓	✓	?	$D_{10}$ (as 20T4)	$[5, 5, 5, 150]$	$2$	$9$	$4747366.99665$