Number field search results

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

Results (1-50 of 59 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
20.0.966...344.1	$x^{20} - 8 x^{19} + 613 x^{18} - 3750 x^{17} + 151980 x^{16} - 724333 x^{15} + 19969012 x^{14} - 74453400 x^{13} + 1542496749 x^{12} - 4377184144 x^{11} + 72563180273 x^{10} - 144348494038 x^{9} + 2068221953123 x^{8} - 2346917686507 x^{7} + 34524640552202 x^{6} - 10644189421621 x^{5} + 322532511927071 x^{4} + 87422158458786 x^{3} + 1573396773373304 x^{2} + 335190654909333 x + 1431177952949883$	$20$	[0,10]	$2^{10}\cdot 3^{2}\cdot 97^{2}\cdot 401^{15}$	$4$	$223.492305793$	$5607.0704887981465$	✓			$C_2^9.D_5$ (as 20T350)	$[2, 2, 2, 2, 2, 2, 33228588]$	$2$	$9$	$795087.603907$
20.0.115...000.7	$x^{20} - 114 x^{18} + 6045 x^{16} - 156872 x^{14} + 3152130 x^{12} - 30018588 x^{10} + 301446370 x^{8} + 733055832 x^{6} + 10988455869 x^{4} + 224935514622 x^{2} + 1072100788929$	$20$	[0,10]	$2^{40}\cdot 5^{10}\cdot 41^{18}$	$3$	$252.959191518$	$252.95919151827854$	✓	✓		$C_2\times C_{10}$ (as 20T3)	$[2, 2, 382484080]$	$2$	$9$	$6411717617.202166$
20.0.217...000.1	$x^{20} + 180 x^{18} - 20 x^{17} + 15050 x^{16} - 1164 x^{15} + 742950 x^{14} - 14840 x^{13} + 23099640 x^{12} + 44700 x^{11} + 473353370 x^{10} + 53209300 x^{9} + 7311226245 x^{8} + 3549040740 x^{7} + 97155742500 x^{6} + 76326522868 x^{5} + 859441629410 x^{4} + 600850423640 x^{3} + 4500543123300 x^{2} + 1447969302080 x + 10617607463057$	$20$	[0,10]	$2^{55}\cdot 5^{32}\cdot 11^{10}$	$3$	$293.008917244$	$293.00891724393495$	✓	✓		$C_{20}$ (as 20T1)	$[6557121050]$	$2$	$9$	$42294001.73672045$
20.0.244...641.4	$x^{20} - x^{19} + 22 x^{18} + 100 x^{17} + 1506 x^{16} - 7106 x^{15} + 17524 x^{14} - 96856 x^{13} + 1358797 x^{12} - 6579077 x^{11} + 21164846 x^{10} - 67318932 x^{9} + 728068088 x^{8} - 122399344 x^{7} + 8285369632 x^{6} + 1033992256 x^{5} + 33352186240 x^{4} - 7922589696 x^{3} + 108451571712 x^{2} + 57786515456 x + 214582951936$	$20$	[0,10]	$11^{18}\cdot 41^{19}$	$2$	$294.712177003$	$294.7121770032999$	✓	✓		$C_{20}$ (as 20T1)	$[3065931370]$	$2$	$9$	$9382131257586.73$
20.0.737...000.1	$x^{20} + 155 x^{18} - 20 x^{17} + 10975 x^{16} - 964 x^{15} + 437600 x^{14} - 23640 x^{13} + 9780190 x^{12} - 1690500 x^{11} + 113584520 x^{10} - 26142000 x^{9} + 1066176320 x^{8} + 1136898640 x^{7} + 20216277025 x^{6} + 26884464018 x^{5} + 131515368985 x^{4} + 135865272390 x^{3} + 525018844775 x^{2} + 156576885230 x + 926878489057$	$20$	[0,10]	$2^{20}\cdot 3^{10}\cdot 5^{32}\cdot 13^{15}$	$4$	$311.45846881$	$311.4584688095688$	✓	✓	?	$C_{20}$ (as 20T1)	$[2, 2, 314591282]$	$2$	$9$	$47804543.59281621$
20.0.107...889.1	$x^{20} - x^{19} + 127 x^{18} - 255 x^{17} + 6998 x^{16} - 18838 x^{15} + 283662 x^{14} - 1081006 x^{13} + 10909277 x^{12} - 46507613 x^{11} + 298062451 x^{10} - 1060770227 x^{9} + 4604716892 x^{8} - 12300643612 x^{7} + 39306798768 x^{6} - 83554994512 x^{5} + 235967317824 x^{4} - 468112596032 x^{3} + 1273319969280 x^{2} - 1703567371264 x + 3630610259968$	$20$	[0,10]	$3^{10}\cdot 241^{19}$	$2$	$317.30492852$	$317.3049285198901$	✓	✓		$C_{20}$ (as 20T1)	$[2, 2098936922]$	$2$	$9$	$7201319699389.811$
20.0.123...000.1	$x^{20} - 4 x^{19} + 92 x^{18} - 372 x^{17} + 5419 x^{16} - 16484 x^{15} + 217234 x^{14} - 515036 x^{13} + 6148162 x^{12} - 11075856 x^{11} + 139147532 x^{10} - 119745724 x^{9} + 2738480335 x^{8} + 433584384 x^{7} + 41927345826 x^{6} + 25464090456 x^{5} + 417171166533 x^{4} + 259762732920 x^{3} + 2440534826736 x^{2} + 1044505487556 x + 6333479962731$	$20$	[0,10]	$2^{30}\cdot 3^{10}\cdot 5^{15}\cdot 41^{16}$	$4$	$319.565737192$	$319.5657371917998$	✓	✓		$C_{20}$ (as 20T1)	$[2, 2, 2, 2, 2, 63335282]$	$2$	$9$	$41023218.25673422$
20.0.159...000.1	$x^{20} + 520 x^{18} + 110240 x^{16} + 12404600 x^{14} + 806062400 x^{12} + 30708435680 x^{10} + 659026180800 x^{8} + 7031215526400 x^{6} + 26613368288000 x^{4} + 25849121625600 x^{2} + 4564349404160$	$20$	[0,10]	$2^{30}\cdot 5^{35}\cdot 13^{15}$	$3$	$323.74272305$	$323.74272305008054$	✓	✓		$C_{20}$ (as 20T1)	$[2, 190, 12845900]$	$2$	$9$	$208779686.22504243$
20.0.443...000.18	$x^{20} + 440 x^{18} + 74069 x^{16} + 5921760 x^{14} + 250897376 x^{12} + 5504137940 x^{10} + 47796205399 x^{8} - 192927061440 x^{6} - 4378808955609 x^{4} + 9957442719440 x^{2} + 239981769909025$	$20$	[0,10]	$2^{40}\cdot 3^{10}\cdot 5^{10}\cdot 31^{18}$	$4$	$340.667846606$	$340.66784660589445$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[2, 2, 2, 4, 4, 44, 44, 10824]$	$2$	$9$	$24785765.76033278$
20.0.887...272.1	$x^{20} - 4 x^{19} - 46 x^{18} - 32 x^{17} + 2039 x^{16} + 7188 x^{15} - 12750 x^{14} - 238944 x^{13} - 1036720 x^{12} - 1537224 x^{11} + 14056380 x^{10} + 125920388 x^{9} + 594058091 x^{8} + 1956241672 x^{7} + 5294165550 x^{6} + 10751869216 x^{5} + 16874705783 x^{4} + 22891449984 x^{3} + 31324467034 x^{2} + 15691933916 x + 26337021631$	$20$	[0,10]	$2^{55}\cdot 3^{10}\cdot 71^{16}$	$3$	$352.695399152$	$352.6953991519565$	✓	✓	?	$C_{20}$ (as 20T1)	$[5, 715981310]$	$2$	$9$	$116573225.49574807$
20.0.890...304.1	$x^{20} - 10 x^{19} + 826 x^{18} - 5946 x^{17} + 255008 x^{16} - 1282624 x^{15} + 40311494 x^{14} - 135353256 x^{13} + 3685233904 x^{12} - 7481693710 x^{11} + 201268639432 x^{10} - 195555482898 x^{9} + 6349997257727 x^{8} - 976328316764 x^{7} + 103754231373226 x^{6} + 49631167882208 x^{5} + 703833871996912 x^{4} + 844939756073046 x^{3} + 2387459816797502 x^{2} + 5469752690834000 x + 4192188510907851$	$20$	[0,10]	$2^{20}\cdot 3^{4}\cdot 97^{2}\cdot 401^{15}$	$4$	$352.76841963641283$	$5607.0704887981465$	✓		?	$C_2^9.D_5$ (as 20T334)	$[2, 2, 2, 2, 2, 4, 33228588]$	$2$	$9$	$76068374.34560134$
20.0.828...000.3	$x^{20} - 145 x^{18} + 11495 x^{16} - 2552 x^{15} - 539050 x^{14} + 506880 x^{13} + 16919275 x^{12} - 38258880 x^{11} - 330084201 x^{10} + 1584756800 x^{9} + 3849422785 x^{8} - 33027911400 x^{7} + 44066619140 x^{6} + 422425247552 x^{5} - 1461670305700 x^{4} - 337208187360 x^{3} + 18744110591600 x^{2} - 48578566298240 x + 66790722351376$	$20$	[0,10]	$2^{20}\cdot 3^{10}\cdot 5^{35}\cdot 11^{16}$	$4$	$394.368554623$	$394.36855462307017$	✓	✓		$C_{20}$ (as 20T1)	$[2, 2, 10, 10, 110, 46310]$	$2$	$9$	$4235385044.5954027$
20.0.828...000.4	$x^{20} - 145 x^{18} + 11495 x^{16} - 198 x^{15} - 539050 x^{14} - 110880 x^{13} + 16919275 x^{12} + 13904880 x^{11} - 333632526 x^{10} - 626326800 x^{9} + 4830793285 x^{8} + 15845595150 x^{7} - 32642132485 x^{6} - 137024708502 x^{5} + 506495275550 x^{4} + 1619481226110 x^{3} + 3143847094100 x^{2} - 27446286638760 x + 70536147920701$	$20$	[0,10]	$2^{20}\cdot 3^{10}\cdot 5^{35}\cdot 11^{16}$	$4$	$394.368554623$	$394.36855462307017$	✓	✓		$C_{20}$ (as 20T1)	$[2, 2, 2, 10, 10, 1304210]$	$2$	$9$	$864758391.9354854$
20.0.830...000.2	$x^{20} + 615 x^{18} + 145755 x^{16} + 16992450 x^{14} + 1043541225 x^{12} + 34317553500 x^{10} + 606522532500 x^{8} + 5504713171875 x^{6} + 21957374750625 x^{4} + 22379201943750 x^{2} + 5515361128125$	$20$	[0,10]	$2^{20}\cdot 3^{10}\cdot 5^{15}\cdot 41^{19}$	$4$	$394.423506885$	$394.4235068853545$	✓	✓		$C_{20}$ (as 20T1)	$[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 510252]$	$2$	$9$	$3541438824.6395073$
20.0.116...241.2	$x^{20} - x^{19} - 17 x^{18} - 988 x^{17} + 7927 x^{16} - 27301 x^{15} + 211942 x^{14} - 3467410 x^{13} + 31434424 x^{12} - 135265045 x^{11} + 446289007 x^{10} - 2329750576 x^{9} + 12569556082 x^{8} - 34794231463 x^{7} + 19864173718 x^{6} + 272079548399 x^{5} + 76901734366 x^{4} - 750849440890 x^{3} - 115389084975 x^{2} + 808179039000 x + 671391534375$	$20$	[0,10]	$11^{18}\cdot 71^{18}$	$2$	$401.223101267$	$401.22310126676115$	✓	✓		$C_2\times C_{10}$ (as 20T3)	$[5, 203052185]$	$2$	$9$	$70496491595348.39$
20.0.129...000.1	$x^{20} - 4 x^{19} + 10 x^{18} - 8 x^{17} + 1159 x^{16} - 3948 x^{15} + 30386 x^{14} - 82176 x^{13} + 37504 x^{12} + 767904 x^{11} + 2083316 x^{10} - 21392148 x^{9} + 510298027 x^{8} - 1079824928 x^{7} + 9530828238 x^{6} - 14978990136 x^{5} + 53053915879 x^{4} - 51654328704 x^{3} + 238384484610 x^{2} + 29552104068 x + 429330790631$	$20$	[0,10]	$2^{55}\cdot 5^{10}\cdot 61^{16}$	$3$	$403.256483139$	$403.25648313875035$	✓	✓	?	$C_{20}$ (as 20T1)	$[1156287922]$	$2$	$9$	$421902771.2761871$
20.0.173...000.2	$x^{20} + 440 x^{18} + 82280 x^{16} + 8518400 x^{14} + 532932400 x^{12} + 20634408960 x^{10} + 486238403200 x^{8} + 6572678182400 x^{6} + 44882044064000 x^{4} + 116430854144000 x^{2} + 16139001528320$	$20$	[0,10]	$2^{30}\cdot 5^{35}\cdot 11^{18}$	$3$	$409.256812787$	$409.25681278697743$	✓	✓		$C_{20}$ (as 20T1)	$[2, 2, 2, 2, 2, 2, 23088820]$	$2$	$9$	$4235385044.5954027$
20.0.263...000.1	$x^{20} + 580 x^{18} + 139780 x^{16} + 18228675 x^{14} + 1399760400 x^{12} + 64198067195 x^{10} + 1686964570175 x^{8} + 22404681693200 x^{6} + 106563464376375 x^{4} + 44555856193975 x^{2} + 2276840094745$	$20$	[0,10]	$2^{20}\cdot 5^{35}\cdot 29^{15}$	$3$	$417.855383348$	$417.85538334750254$	✓	✓	?	$C_{20}$ (as 20T1)	$[2, 2, 2, 441166888]$	$2$	$9$	$257696579.12792215$
20.0.263...000.2	$x^{20} + 580 x^{18} + 142680 x^{16} + 19490175 x^{14} + 1627250900 x^{12} + 86282306695 x^{10} + 2930498707675 x^{8} + 62830388169700 x^{6} + 812534226323875 x^{4} + 5699366824174475 x^{2} + 16279165773981745$	$20$	[0,10]	$2^{20}\cdot 5^{35}\cdot 29^{15}$	$3$	$417.855383348$	$417.85538334750254$	✓	✓	?	$C_{20}$ (as 20T1)	$[2, 2, 2, 469740200]$	$2$	$9$	$257696579.12792215$
20.0.679...000.1	$x^{20} + 328 x^{18} + 32185 x^{16} + 1261816 x^{14} + 19048600 x^{12} + 88124416 x^{10} + 167015755 x^{8} + 149985544 x^{6} + 63170299 x^{4} + 10045656 x^{2} + 136161$	$20$	[0,10]	$2^{40}\cdot 3^{10}\cdot 5^{10}\cdot 41^{18}$	$4$	$438.138171951$	$438.1381719512047$	✓	✓		$C_2\times C_{10}$ (as 20T3)	$[2, 2, 2, 2, 2, 4, 10431384]$	$2$	$9$	$41502978620.14737$
20.0.679...000.15	$x^{20} - 442 x^{18} + 79845 x^{16} - 7498824 x^{14} + 420958530 x^{12} - 14435792364 x^{10} + 296029595250 x^{8} - 3055990120296 x^{6} + 8674595358909 x^{4} + 208980948821846 x^{2} + 1557775043258281$	$20$	[0,10]	$2^{40}\cdot 3^{10}\cdot 5^{10}\cdot 41^{18}$	$4$	$438.138171951$	$438.1381719512047$	✓	✓		$C_2\times C_{10}$ (as 20T3)	$[2, 2, 2, 2, 2, 2, 22, 960630]$	$2$	$9$	$34503946347.31743$
20.0.679...000.18	$x^{20} + 54 x^{18} + 12825 x^{16} + 1231902 x^{14} + 117893880 x^{12} + 7950176568 x^{10} + 418017577635 x^{8} + 16672949786898 x^{6} + 481702575344139 x^{4} + 9481858962789978 x^{2} + 94028983151082849$	$20$	[0,10]	$2^{40}\cdot 3^{10}\cdot 5^{10}\cdot 41^{18}$	$4$	$438.138171951$	$438.1381719512047$	✓	✓		$C_2\times C_{10}$ (as 20T3)	$[2, 2, 2, 2, 2, 2, 129077776]$	$2$	$9$	$5866539973.245223$
20.0.894...125.5	$x^{20} - x^{19} + 181 x^{18} + 1028 x^{17} + 33504 x^{16} - 688039 x^{15} + 8748821 x^{14} - 82162506 x^{13} + 815823407 x^{12} - 5666231713 x^{11} + 33297946546 x^{10} - 172227632738 x^{9} + 811531611642 x^{8} - 2411372393964 x^{7} + 6056762926765 x^{6} - 13544719689028 x^{5} + 26340214672016 x^{4} - 37724080355453 x^{3} + 49581034578142 x^{2} - 55463573994491 x + 42348870775201$	$20$	[0,10]	$5^{15}\cdot 11^{16}\cdot 41^{16}$	$3$	$444.189958736$	$444.1899587359095$	✓	✓	?	$C_{20}$ (as 20T1)	$[5, 5, 5, 5, 5, 1444355]$	$10$	$9$	$1487816916.7694454$
20.0.200...000.22	$x^{20} + 440 x^{18} + 70950 x^{16} + 5940000 x^{14} + 292248825 x^{12} + 8841854010 x^{10} + 164473920600 x^{8} + 1804275074250 x^{6} + 10579393605000 x^{4} + 27032738744000 x^{2} + 16134802744225$	$20$	[0,10]	$2^{20}\cdot 3^{10}\cdot 5^{34}\cdot 11^{18}$	$4$	$462.480096555$	$462.4800965548657$	✓	✓		$C_2\times C_{10}$ (as 20T3)	$[2, 2, 2, 22, 22, 279620]$	$2$	$9$	$65307151733.14945$
20.0.200...000.29	$x^{20} + 220 x^{18} + 13750 x^{16} - 62700 x^{14} - 20484255 x^{12} + 164595992 x^{10} - 231748880 x^{8} - 631791916800 x^{6} + 34651636166400 x^{4} + 19285983467520 x^{2} + 251597460606976$	$20$	[0,10]	$2^{20}\cdot 3^{10}\cdot 5^{34}\cdot 11^{18}$	$4$	$462.480096555$	$462.4800965548657$	✓	✓		$C_2\times C_{10}$ (as 20T3)	$[2, 2, 2, 2, 2, 106566020]$	$2$	$9$	$1679203762484.6501$
20.0.200...000.30	$x^{20} + 220 x^{18} + 12870 x^{16} - 111100 x^{14} - 16032335 x^{12} + 754489384 x^{10} + 31603002640 x^{8} - 1171735656960 x^{6} + 14817146572800 x^{4} + 113417399828480 x^{2} + 361518201831424$	$20$	[0,10]	$2^{20}\cdot 3^{10}\cdot 5^{34}\cdot 11^{18}$	$4$	$462.480096555$	$462.4800965548657$	✓	✓		$C_2\times C_{10}$ (as 20T3)	$[2, 2, 2, 2, 2, 88059620]$	$2$	$9$	$1206432246219.7283$
20.0.200...000.37	$x^{20} + 110 x^{18} + 18755 x^{16} - 1298 x^{15} + 1650440 x^{14} + 428340 x^{13} + 140041165 x^{12} + 2355870 x^{11} + 8914160145 x^{10} + 2600095190 x^{9} + 473766322150 x^{8} + 56156873190 x^{7} + 20204698226075 x^{6} + 2357254937444 x^{5} + 621558092253230 x^{4} - 57940495299390 x^{3} + 14277619259107655 x^{2} - 6064244667019220 x + 165191136108121849$	$20$	[0,10]	$2^{20}\cdot 3^{10}\cdot 5^{34}\cdot 11^{18}$	$4$	$462.480096555$	$462.4800965548657$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[2, 2, 1126395820]$	$2$	$9$	$655926678.0583006$
20.0.200...000.38	$x^{20} + 110 x^{18} + 18755 x^{16} - 902 x^{15} + 1650440 x^{14} + 297660 x^{13} + 140041165 x^{12} + 1637130 x^{11} + 8913543045 x^{10} + 1806845810 x^{9} + 474391226650 x^{8} + 39024267810 x^{7} + 20069393424575 x^{6} + 1638272498456 x^{5} + 628697885710730 x^{4} - 40333066477110 x^{3} + 14175271751235155 x^{2} - 4212066055510280 x + 165264883180898149$	$20$	[0,10]	$2^{20}\cdot 3^{10}\cdot 5^{34}\cdot 11^{18}$	$4$	$462.480096555$	$462.4800965548657$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[2, 22, 65584420]$	$2$	$9$	$860169583.1577827$
20.0.200...000.39	$x^{20} + 110 x^{18} + 18755 x^{16} - 2552 x^{15} + 1650440 x^{14} + 842160 x^{13} + 140041165 x^{12} + 4631880 x^{11} + 8915966070 x^{10} + 5112051560 x^{9} + 472877380525 x^{8} + 110410123560 x^{7} + 20414578791200 x^{6} + 4633838667656 x^{5} + 611194037644355 x^{4} - 113622665835360 x^{3} + 14446541807915030 x^{2} - 11931706889206280 x + 165438348587866849$	$20$	[0,10]	$2^{20}\cdot 3^{10}\cdot 5^{34}\cdot 11^{18}$	$4$	$462.480096555$	$462.4800965548657$	✓	✓		$C_2\times C_{10}$ (as 20T3)	$[2, 2, 4, 4, 4, 4, 7891220]$	$2$	$9$	$4235385044.5954027$
20.0.445...000.2	$x^{20} - 2 x^{19} - 111 x^{18} + 260 x^{17} + 6709 x^{16} - 17866 x^{15} - 248884 x^{14} + 753552 x^{13} + 6380662 x^{12} - 21730684 x^{11} - 109533967 x^{10} + 422781594 x^{9} + 1312082182 x^{8} - 5617531168 x^{7} - 8933825593 x^{6} + 42036545916 x^{5} + 51009829022 x^{4} - 135889082190 x^{3} - 111289384821 x^{2} - 1475502846552 x + 6218998361089$	$20$	[0,10]	$2^{20}\cdot 5^{10}\cdot 181^{18}$	$3$	$481.310920151$	$481.31092015051433$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[2, 709227660]$	$2$	$9$	$2738636751.4469314$
20.0.768...000.1	$x^{20} + 620 x^{18} + 103850 x^{16} + 6813800 x^{14} + 184016000 x^{12} + 1934152000 x^{10} + 8029155000 x^{8} + 14972380000 x^{6} + 12637150000 x^{4} + 4036200000 x^{2} + 96100000$	$20$	[0,10]	$2^{55}\cdot 5^{15}\cdot 31^{18}$	$3$	$494.635765727$	$494.6357657274617$	✓	✓	?	$C_{20}$ (as 20T1)	$[2, 2, 2, 2, 2, 66, 1885092]$	$2$	$9$	$2725468819.573966$
20.0.768...000.2	$x^{20} + 620 x^{18} + 141050 x^{16} + 15692200 x^{14} + 956784000 x^{12} + 33380552000 x^{10} + 661086315000 x^{8} + 6929405820000 x^{6} + 31350462750000 x^{4} + 26481508200000 x^{2} + 5674608900000$	$20$	[0,10]	$2^{55}\cdot 5^{15}\cdot 31^{18}$	$3$	$494.635765727$	$494.6357657274617$	✓	✓	?	$C_{20}$ (as 20T1)	$[2, 2, 2, 2, 10, 10, 2000500]$	$2$	$9$	$2725468819.573966$
20.0.223...125.1	$x^{20} - 5 x^{19} - 80 x^{18} + 330 x^{17} + 7555 x^{16} - 33798 x^{15} - 238670 x^{14} + 975255 x^{13} + 11968120 x^{12} - 42260205 x^{11} - 124930751 x^{10} + 641828715 x^{9} + 6710256915 x^{8} - 7032212790 x^{7} + 90182043685 x^{6} - 396677379402 x^{5} + 1545328775040 x^{4} + 8391148914665 x^{3} + 35137458539585 x^{2} - 200742904991115 x + 839461258717201$	$20$	[0,10]	$3^{10}\cdot 5^{35}\cdot 7^{10}\cdot 11^{16}$	$4$	$521.700560218$	$521.7005602183177$	✓	✓	?	$C_{20}$ (as 20T1)	$[2, 4166030410]$	$2$	$9$	$860169583.1577827$
20.0.355...000.4	$x^{20} + 440 x^{18} + 67980 x^{16} + 4767400 x^{14} + 177930500 x^{12} + 3781457196 x^{10} + 45938756545 x^{8} + 297653591840 x^{6} + 809109957150 x^{4} + 108823443300 x^{2} + 2519337249$	$20$	[0,10]	$2^{40}\cdot 5^{34}\cdot 11^{18}$	$3$	$534.026016482$	$534.0260164815917$	✓	✓		$C_2\times C_{10}$ (as 20T3)	$[410, 14330730]$	$2$	$9$	$3112036931534.2773$
20.0.355...000.21	$x^{20} - 7260 x^{16} + 12100 x^{14} + 12022560 x^{12} - 523936776 x^{10} + 13313608825 x^{8} + 1227599011980 x^{6} + 16018850939850 x^{4} - 506924202145680 x^{2} + 3859291108515249$	$20$	[0,10]	$2^{40}\cdot 5^{34}\cdot 11^{18}$	$3$	$534.026016482$	$534.0260164815917$	✓	✓		$C_2\times C_{10}$ (as 20T3)	$[22, 80111130]$	$2$	$9$	$13680393897245.906$
20.0.128...000.5	$x^{20} + 102 x^{18} + 3793 x^{16} - 189690 x^{14} + 8216560 x^{12} - 222386744 x^{10} + 4263113739 x^{8} - 62349833294 x^{6} + 655617306707 x^{4} - 4338353882334 x^{2} + 13016444524561$	$20$	[0,10]	$2^{40}\cdot 5^{10}\cdot 101^{18}$	$3$	$569.42198362$	$569.4219836203533$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[11, 154, 770308]$	$2$	$9$	$8119542085.512349$
20.0.170...000.1	$x^{20} + 15190 x^{16} - 1410500 x^{14} + 34083105 x^{12} - 7040729300 x^{10} + 608478061360 x^{8} - 5962442238400 x^{6} + 163111166566400 x^{4} + 2366899073843200 x^{2} + 8311744258637824$	$20$	[0,10]	$2^{20}\cdot 5^{32}\cdot 31^{18}$	$3$	$577.573856632$	$577.5738566323414$	✓	✓		$C_2\times C_{10}$ (as 20T3)	$[2, 10, 10, 7914030]$	$4$	$9$	$44990028220676.63$
20.0.385...000.3	$x^{20} - 420 x^{18} - 220 x^{17} + 69250 x^{16} + 73436 x^{15} - 5437050 x^{14} - 8873040 x^{13} + 190656040 x^{12} + 444269100 x^{11} - 2040141230 x^{10} - 7860541700 x^{9} + 12788452045 x^{8} + 87627581140 x^{7} + 40389419300 x^{6} - 480743795532 x^{5} - 965387193390 x^{4} + 613825940640 x^{3} + 4724072441100 x^{2} + 6538230383080 x + 3430132247057$	$20$	[0,10]	$2^{55}\cdot 5^{32}\cdot 11^{16}$	$3$	$601.58727752$	$601.5872775202737$	✓	✓		$C_{20}$ (as 20T1)	$[1105253605]$	$2$	$9$	$59880888363.52121$
20.0.404...000.2	$x^{20} - 4 x^{19} + 10 x^{18} - 8 x^{17} + 1359 x^{16} - 4588 x^{15} + 47346 x^{14} - 131776 x^{13} + 1059424 x^{12} - 2070016 x^{11} + 29195556 x^{10} - 71901908 x^{9} + 836887947 x^{8} - 1672343968 x^{7} + 14146109838 x^{6} - 20624953016 x^{5} + 133116343639 x^{4} - 113533795584 x^{3} + 724445574450 x^{2} - 170599786492 x + 1755011915551$	$20$	[0,10]	$2^{55}\cdot 5^{15}\cdot 61^{16}$	$3$	$603.009090581$	$603.009090581086$	✓	✓		$C_{20}$ (as 20T1)	$[3, 3, 3, 140940300]$	$2$	$9$	$18503259981.639687$
20.0.770...000.4	$x^{20} - 10 x^{19} + 517 x^{18} - 4368 x^{17} + 110755 x^{16} - 788324 x^{15} + 12810686 x^{14} - 76219200 x^{13} + 875603173 x^{12} - 4297376270 x^{11} + 36355252339 x^{10} - 144109731096 x^{9} + 910187132217 x^{8} - 2820409970036 x^{7} + 13385825582430 x^{6} - 30847128749560 x^{5} + 113890016685799 x^{4} - 179392482504090 x^{3} + 522171308016133 x^{2} - 437186075851096 x + 1102147109671861$	$20$	[0,10]	$2^{20}\cdot 5^{10}\cdot 241^{18}$	$3$	$622.773803689$	$622.7738036888564$	✓	✓		$C_2\times C_{10}$ (as 20T3)	$[2, 4, 4, 4, 4, 6624600]$	$2$	$9$	$431310293438.41327$
20.0.117...000.2	$x^{20} + 820 x^{18} + 259530 x^{16} + 42172600 x^{14} + 3900904000 x^{12} + 212532192000 x^{10} + 6734386899000 x^{8} + 115706894580000 x^{6} + 893242030590000 x^{4} + 1647738725400000 x^{2} + 804017088900000$	$20$	[0,10]	$2^{55}\cdot 5^{15}\cdot 41^{18}$	$3$	$636.158687521$	$636.158687521303$	✓	✓		$C_{20}$ (as 20T1)	$[2, 2, 342927572]$	$2$	$9$	$126615231021.771$
20.0.426...000.5	$x^{20} - 7440 x^{16} - 1454675 x^{14} + 266205060 x^{12} + 4959064482 x^{10} + 70829063500 x^{8} + 3416821527060 x^{6} + 84852613700100 x^{4} + 92497694344560 x^{2} + 231470329794201$	$20$	[0,10]	$2^{20}\cdot 5^{34}\cdot 31^{18}$	$3$	$678.429193033$	$678.4291930327519$	✓	✓		$C_2\times C_{10}$ (as 20T3)	$[1051348820]$	$2$	$9$	$410236188355566.6$
20.0.963...000.1	$x^{20} - 340 x^{18} - 1980 x^{17} + 44290 x^{16} + 573804 x^{15} - 181050 x^{14} - 50497920 x^{13} - 428470840 x^{12} - 794674980 x^{11} + 16318627506 x^{10} + 207299277900 x^{9} + 1441734783805 x^{8} + 7113309760260 x^{7} + 26769996852420 x^{6} + 78601752107604 x^{5} + 178487748476450 x^{4} + 308747918975760 x^{3} + 409475710606620 x^{2} + 360221472820440 x + 224628092046401$	$20$	[0,10]	$2^{55}\cdot 5^{34}\cdot 11^{16}$	$3$	$706.635812096$	$706.6358120960626$	✓	✓	?	$C_{20}$ (as 20T1)	$[2387272210]$	$2$	$9$	$59692546406.70596$
20.0.963...000.2	$x^{20} - 340 x^{18} - 2420 x^{17} + 42090 x^{16} + 699996 x^{15} + 1270950 x^{14} - 57225080 x^{13} - 654705640 x^{12} - 2285604420 x^{11} + 18802808106 x^{10} + 327373663100 x^{9} + 2578759859805 x^{8} + 13871537857540 x^{7} + 55739518657820 x^{6} + 171798573324796 x^{5} + 405664528658450 x^{4} + 719764864421240 x^{3} + 924597931103020 x^{2} + 789670631905760 x + 366060061309601$	$20$	[0,10]	$2^{55}\cdot 5^{34}\cdot 11^{16}$	$3$	$706.635812096$	$706.6358120960626$	✓	✓	?	$C_{20}$ (as 20T1)	$[2180741210]$	$2$	$9$	$62756100051.98372$
20.0.213...000.1	$x^{20} + 620 x^{18} + 163370 x^{16} + 23832800 x^{14} + 2101010275 x^{12} + 114603766080 x^{10} + 3798910889050 x^{8} + 71713231838300 x^{6} + 662889174664625 x^{4} + 2012400282092000 x^{2} + 26243954842880$	$20$	[0,10]	$2^{20}\cdot 5^{35}\cdot 31^{18}$	$3$	$735.280464922$	$735.2804649223957$	✓	✓		$C_{20}$ (as 20T1)	$[2, 2, 2, 2, 2, 10, 19401050]$	$2$	$9$	$127725981510.55186$
20.0.213...000.2	$x^{20} + 620 x^{18} + 163370 x^{16} + 23832800 x^{14} + 2101010275 x^{12} + 114566349855 x^{10} + 3787311859300 x^{8} + 70454737110425 x^{6} + 607155836715875 x^{4} + 1148533543886375 x^{2} + 203649683820005$	$20$	[0,10]	$2^{20}\cdot 5^{35}\cdot 31^{18}$	$3$	$735.280464922$	$735.2804649223957$	✓	✓	?	$C_{20}$ (as 20T1)	$[2, 10, 394770050]$	$2$	$9$	$35952457733.9904$
20.0.261...000.1	$x^{20} + 820 x^{18} + 230420 x^{16} + 26751475 x^{14} + 1471426040 x^{12} + 41080774551 x^{10} + 585061753875 x^{8} + 3916459359000 x^{6} + 9468336511875 x^{4} + 5199142836875 x^{2} + 815454150625$	$20$	[0,10]	$2^{20}\cdot 5^{32}\cdot 41^{18}$	$3$	$742.826645464$	$742.8266454640003$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[5, 5, 1045, 129580]$	$4$	$9$	$332013200621.1798$
20.0.261...000.2	$x^{20} + 820 x^{18} + 199670 x^{16} + 23046100 x^{14} + 1481258865 x^{12} + 56437120576 x^{10} + 1288069612000 x^{8} + 17049535776000 x^{6} + 119967187360000 x^{4} + 368664547840000 x^{2} + 264673853440000$	$20$	[0,10]	$2^{20}\cdot 5^{32}\cdot 41^{18}$	$3$	$742.826645464$	$742.8266454640003$	✓	✓		$C_2\times C_{10}$ (as 20T3)	$[2, 2, 2, 2, 10, 10, 10, 10, 6820]$	$4$	$9$	$523576436698285.7$
20.0.261...000.3	$x^{20} + 820 x^{18} + 242720 x^{16} + 35935475 x^{14} + 2990652340 x^{12} + 146793173751 x^{10} + 4299563251375 x^{8} + 73299560375500 x^{6} + 671078556444375 x^{4} + 2670265073911875 x^{2} + 1676212563480625$	$20$	[0,10]	$2^{20}\cdot 5^{32}\cdot 41^{18}$	$3$	$742.826645464$	$742.8266454640003$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[5, 5, 5, 20242420]$	$4$	$9$	$408291769676.07916$
20.0.261...000.4	$x^{20} + 820 x^{18} + 267320 x^{16} + 44893975 x^{14} + 4245354840 x^{12} + 232074088051 x^{10} + 7204928006375 x^{8} + 119492300657500 x^{6} + 955070487099375 x^{4} + 3128076535624375 x^{2} + 2188557863100625$	$20$	[0,10]	$2^{20}\cdot 5^{32}\cdot 41^{18}$	$3$	$742.826645464$	$742.8266454640003$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[5, 5, 5, 19361620]$	$4$	$9$	$326379971244.5939$