Number field search results

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

Results (1-50 of 132 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
20.0.949...000.16	$x^{20} + 179 x^{18} + 13913 x^{16} + 616203 x^{14} + 17167649 x^{12} + 313909091 x^{10} + 3828194857 x^{8} + 31277505147 x^{6} + 173004197745 x^{4} + 681416044115 x^{2} + 2174170893049$	$20$	[0,10]	$2^{20}\cdot 3^{10}\cdot 5^{10}\cdot 7^{10}\cdot 11^{18}$	$5$	$177.369140634$	$177.3691406337445$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[2, 44, 1446764]$	$2$	$9$	$1746210.0427691017$
20.0.137...000.1	$x^{20} + 310 x^{18} + 39165 x^{16} + 2635925 x^{14} + 102805450 x^{12} + 2353148375 x^{10} + 30396100750 x^{8} + 200996738750 x^{6} + 578280596250 x^{4} + 622098868750 x^{2} + 201503753125$	$20$	[0,10]	$2^{20}\cdot 5^{15}\cdot 401^{11}$	$3$	$180.711963153$	$1099.0489219218503$	✓			$C_2^4:D_{20}$ (as 20T138)	$[2, 4, 4, 3266016]$	$2$	$9$	$2526424.45141$
20.0.168...000.10	$x^{20} + 120 x^{18} + 7965 x^{16} + 407472 x^{14} + 16551690 x^{12} + 501223744 x^{10} + 10777388986 x^{8} + 158822764880 x^{6} + 1526410518469 x^{4} + 8639912141640 x^{2} + 21907295553529$	$20$	[0,10]	$2^{40}\cdot 5^{10}\cdot 7^{10}\cdot 11^{18}$	$4$	$204.808242182$	$204.80824218164994$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[2, 2, 2, 34186702]$	$2$	$9$	$1589230.0087159988$
20.0.258...000.5	$x^{20} + 200 x^{18} - 60 x^{17} + 14850 x^{16} - 11102 x^{15} + 475640 x^{14} - 657950 x^{13} + 6805195 x^{12} - 8013640 x^{11} + 32510275 x^{10} + 161576710 x^{9} + 258898250 x^{8} + 888713020 x^{7} + 3728327265 x^{6} + 5240050776 x^{5} + 44291166105 x^{4} - 6982300200 x^{3} + 144931284995 x^{2} - 31427128530 x + 94712038799$	$20$	[0,10]	$2^{30}\cdot 5^{34}\cdot 23^{10}$	$3$	$209.246363386$	$209.2463633864761$	✓	✓		$C_2\times C_{10}$ (as 20T3)	$[10, 19176550]$	$2$	$9$	$42294001.73672045$
20.0.435...000.1	$x^{20} + 291 x^{18} + 34523 x^{16} + 2164086 x^{14} + 77860477 x^{12} + 1637220249 x^{10} + 19617373055 x^{8} + 123475672018 x^{6} + 342449474695 x^{4} + 347793632904 x^{2} + 34507149121$	$20$	[0,10]	$2^{20}\cdot 5^{12}\cdot 257^{4}\cdot 431^{4}\cdot 1031^{4}$	$5$	$214.756249092$		✓			$C_2^8.C_{35}:C_{64}$ (as 20T1025)	$[2, 4, 25464776]$	$2$	$9$	$12637712.6049$
20.0.516...000.2	$x^{20} + 40 x^{18} - 20 x^{17} + 1365 x^{16} - 44 x^{15} + 36230 x^{14} + 11480 x^{13} + 750950 x^{12} + 434320 x^{11} + 12271392 x^{10} + 9163340 x^{9} + 155212695 x^{8} + 125875400 x^{7} + 1463431730 x^{6} + 1106055084 x^{5} + 9636856145 x^{4} + 5730189260 x^{3} + 39412521260 x^{2} + 13607859580 x + 74892112393$	$20$	[0,10]	$2^{40}\cdot 5^{32}\cdot 17^{10}$	$3$	$216.589031324$	$216.5890313235675$	✓	✓		$C_2\times C_{10}$ (as 20T3)	$[10, 32076220]$	$2$	$9$	$42294001.73672045$
20.0.543...000.1	$x^{20} + 391 x^{18} + 55991 x^{16} + 3687046 x^{14} + 118265156 x^{12} + 2038773950 x^{10} + 19835671615 x^{8} + 108465111260 x^{6} + 310756387810 x^{4} + 375696185150 x^{2} + 59667980405$	$20$	[0,10]	$2^{20}\cdot 5^{15}\cdot 11^{6}\cdot 9931^{6}$	$4$	$217.156682854$		✓		?	$C_2^8.A_5^2:C_4$ (as 20T1010)	$[2, 2, 2, 21353032]$	$2$	$9$	$8467206.71416$
20.0.882...000.3	$x^{20} - 20 x^{17} + 565 x^{16} + 276 x^{15} + 13030 x^{14} + 13800 x^{13} + 307790 x^{12} + 386320 x^{11} + 5048464 x^{10} + 4179340 x^{9} + 64575575 x^{8} + 37357000 x^{7} + 607590850 x^{6} + 213099660 x^{5} + 3926504425 x^{4} + 1091979500 x^{3} + 16896886500 x^{2} + 4529591500 x + 35635031225$	$20$	[0,10]	$2^{40}\cdot 5^{34}\cdot 13^{10}$	$3$	$222.474723073$	$222.47472307346027$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[20, 7098060]$	$2$	$9$	$19344397.966990974$
20.0.156...000.1	$x^{20} + 260 x^{18} + 27560 x^{16} + 1550575 x^{14} + 50378900 x^{12} + 959638615 x^{10} + 10297284075 x^{8} + 54931371300 x^{6} + 103958469875 x^{4} + 50486565675 x^{2} + 4457372465$	$20$	[0,10]	$2^{20}\cdot 5^{35}\cdot 13^{15}$	$3$	$228.920674829$	$228.92067482851036$	✓	✓		$C_{20}$ (as 20T1)	$[2, 4, 19671604]$	$2$	$9$	$208779686.22504243$
20.0.158...448.2	$x^{20} + 164 x^{18} + 10578 x^{16} + 338824 x^{14} + 5621264 x^{12} + 47086368 x^{10} + 203993368 x^{8} + 449537120 x^{6} + 458498736 x^{4} + 162171072 x^{2} + 8608032$	$20$	[0,10]	$2^{55}\cdot 41^{19}$	$2$	$229.074713441$	$229.07471344056387$	✓	✓		$C_{20}$ (as 20T1)	$[2, 22, 14346200]$	$2$	$9$	$6411717617.202166$
20.0.236...000.1	$x^{20} + 100 x^{18} - 20 x^{17} + 5050 x^{16} - 524 x^{15} + 157350 x^{14} - 600 x^{13} + 3104840 x^{12} - 62500 x^{11} + 41759034 x^{10} + 9872500 x^{9} + 521842005 x^{8} + 510835300 x^{7} + 6379299140 x^{6} + 7340687380 x^{5} + 43045152610 x^{4} + 37655714520 x^{3} + 171747552260 x^{2} + 55548895040 x + 309599949457$	$20$	[0,10]	$2^{55}\cdot 5^{32}\cdot 7^{10}$	$3$	$233.740255819$	$233.74025581853223$	✓	✓		$C_{20}$ (as 20T1)	$[2, 2, 2, 2, 2, 2, 2, 2, 2, 270962]$	$2$	$9$	$42294001.73672045$
20.0.427...000.6	$x^{20} + 60 x^{18} - 20 x^{17} + 2445 x^{16} - 204 x^{15} + 75350 x^{14} + 15920 x^{13} + 1793970 x^{12} + 812240 x^{11} + 33249096 x^{10} + 20522700 x^{9} + 473428615 x^{8} + 326939720 x^{7} + 5007659530 x^{6} + 3305115036 x^{5} + 36987800005 x^{4} + 19586049980 x^{3} + 169841406000 x^{2} + 52695486900 x + 363424022857$	$20$	[0,10]	$2^{40}\cdot 3^{10}\cdot 5^{32}\cdot 7^{10}$	$4$	$240.725249572$	$240.7252495717286$	✓	✓		$C_2\times C_{10}$ (as 20T3)	$[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 214210]$	$2$	$9$	$42294001.73672045$
20.0.432...000.10	$x^{20} - 2 x^{19} + 43 x^{18} - 152 x^{17} + 1879 x^{16} - 2726 x^{15} + 61371 x^{14} - 17956 x^{13} + 1522777 x^{12} + 1027682 x^{11} + 30527583 x^{10} + 39950494 x^{9} + 479660823 x^{8} + 786037928 x^{7} + 5655758447 x^{6} + 9090696442 x^{5} + 45429641276 x^{4} + 61368607614 x^{3} + 225869813356 x^{2} + 196984421920 x + 487148467849$	$20$	[0,10]	$2^{30}\cdot 3^{10}\cdot 5^{10}\cdot 31^{18}$	$4$	$240.888544467$	$240.88854446724656$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[2, 4, 4, 4, 4, 330132]$	$2$	$9$	$12967416.87984626$
20.0.432...000.18	$x^{20} - 2 x^{19} + 243 x^{18} - 512 x^{17} + 29939 x^{16} - 53446 x^{15} + 2420331 x^{14} - 3057836 x^{13} + 139893917 x^{12} - 97484958 x^{11} + 5970317223 x^{10} - 1101238746 x^{9} + 188810021443 x^{8} + 39816797608 x^{7} + 4332722462127 x^{6} + 1938921689882 x^{5} + 68428126663536 x^{4} + 34326601914734 x^{3} + 665515140558396 x^{2} + 239656306415480 x + 2993279551691929$	$20$	[0,10]	$2^{30}\cdot 3^{10}\cdot 5^{10}\cdot 31^{18}$	$4$	$240.888544467$	$240.88854446724656$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[4, 4, 4, 4, 404, 2020]$	$2$	$9$	$12967416.87984626$
20.0.893...256.1	$x^{20} + 410 x^{18} + 67655 x^{16} + 5818824 x^{14} + 283412583 x^{12} + 7971501014 x^{10} + 126881028663 x^{8} + 1063562823422 x^{6} + 3887283749351 x^{4} + 3093889227992 x^{2} + 694607231761$	$20$	[0,10]	$2^{28}\cdot 11^{8}\cdot 29^{6}\cdot 113^{8}\cdot 991^{2}$	$5$	$249.779740574$	$98768.82832178936$	✓			$C_4^4.(C_2^2\times A_5)$ (as 20T685)	$[2, 2, 2, 2, 2, 21662660]$	$2$	$9$	$17525802.0624$
20.0.129...000.3	$x^{20} + 20 x^{18} - 20 x^{17} + 1005 x^{16} + 116 x^{15} + 31670 x^{14} + 21440 x^{13} + 813850 x^{12} + 768720 x^{11} + 15681528 x^{10} + 12226060 x^{9} + 229742855 x^{8} + 132916040 x^{7} + 2477895450 x^{6} + 960854012 x^{5} + 18523918365 x^{4} + 5197770460 x^{3} + 89131121320 x^{2} + 19495942660 x + 208310963449$	$20$	[0,10]	$2^{40}\cdot 5^{34}\cdot 17^{10}$	$3$	$254.409579058$	$254.4095790577467$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[10, 41764040]$	$2$	$9$	$19344397.966990974$
20.0.129...000.6	$x^{20} + 90 x^{18} + 5885 x^{16} + 310760 x^{14} + 12753090 x^{12} + 404258124 x^{10} + 9761928930 x^{8} + 171855099720 x^{6} + 2056587912445 x^{4} + 14887410527530 x^{2} + 49402019223649$	$20$	[0,10]	$2^{40}\cdot 5^{34}\cdot 17^{10}$	$3$	$254.409579058$	$254.4095790577467$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[2, 122604504]$	$2$	$9$	$19344397.966990974$
20.0.140...000.1	$x^{20} - 4 x^{19} + 108 x^{18} - 316 x^{17} + 6083 x^{16} - 17204 x^{15} + 244530 x^{14} - 677260 x^{13} + 7042586 x^{12} - 18355320 x^{11} + 153441300 x^{10} - 409081596 x^{9} + 2827606183 x^{8} - 7805047864 x^{7} + 41217566898 x^{6} - 100036606136 x^{5} + 383268615741 x^{4} - 681170144120 x^{3} + 1900437492720 x^{2} - 1875761820980 x + 3744560501755$	$20$	[0,10]	$2^{30}\cdot 3^{10}\cdot 5^{15}\cdot 31^{16}$	$4$	$255.518576405$	$255.5185764051941$	✓	✓	?	$C_{20}$ (as 20T1)	$[2, 2, 2, 2, 2, 11077202]$	$2$	$9$	$24173706.832424585$
20.0.143...000.2	$x^{20} - 2 x^{19} + 47 x^{18} - 14 x^{17} + 1749 x^{16} - 2746 x^{15} + 62644 x^{14} - 141064 x^{13} + 1652989 x^{12} - 4345934 x^{11} + 34853312 x^{10} - 94607688 x^{9} + 555153715 x^{8} - 1401208766 x^{7} + 6430262311 x^{6} - 14260973952 x^{5} + 51507614372 x^{4} - 88916147662 x^{3} + 237984762200 x^{2} - 239603764752 x + 431056760849$	$20$	[0,10]	$2^{30}\cdot 5^{10}\cdot 61^{18}$	$3$	$255.75659843$	$255.7565984303144$	✓	✓		$C_2\times C_{10}$ (as 20T3)	$[2, 311137266]$	$2$	$9$	$36549838.47150319$
20.0.202...000.5	$x^{20} - 10 x^{19} + 73 x^{18} - 372 x^{17} + 2383 x^{16} - 11924 x^{15} + 74548 x^{14} - 336218 x^{13} + 1890972 x^{12} - 7433118 x^{11} + 35955246 x^{10} - 118463028 x^{9} + 490379664 x^{8} - 1320905036 x^{7} + 4714916309 x^{6} - 9949519754 x^{5} + 30688118609 x^{4} - 46132578390 x^{3} + 123739534495 x^{2} - 102141624450 x + 235337644525$	$20$	[0,10]	$2^{20}\cdot 5^{10}\cdot 7^{10}\cdot 31^{18}$	$4$	$260.189365652$	$260.1893656515194$	✓	✓		$C_2\times C_{10}$ (as 20T3)	$[2, 2, 2, 2, 2, 2, 2, 2, 2, 342736]$	$2$	$9$	$190570522.65858147$
20.0.298...000.1	$x^{20} - 4 x^{19} + 290 x^{18} - 1024 x^{17} + 34615 x^{16} - 106884 x^{15} + 2127914 x^{14} - 5648720 x^{13} + 67801904 x^{12} - 150084456 x^{11} + 931463700 x^{10} - 1604074892 x^{9} + 2010972339 x^{8} - 1434041112 x^{7} + 21613556694 x^{6} - 30521105752 x^{5} + 56995864951 x^{4} - 44429897024 x^{3} + 154399084602 x^{2} - 86885984892 x + 213029036551$	$20$	[0,10]	$2^{55}\cdot 3^{10}\cdot 5^{15}\cdot 11^{16}$	$4$	$265.298483097$	$265.29848309706273$	✓	✓	?	$C_{20}$ (as 20T1)	$[2, 2, 75850084]$	$2$	$9$	$14452469.589232503$
20.0.298...000.2	$x^{20} - 4 x^{19} + 290 x^{18} - 1024 x^{17} + 38215 x^{16} - 118404 x^{15} + 3009194 x^{14} - 8096720 x^{13} + 156710384 x^{12} - 360471336 x^{11} + 5641661940 x^{10} - 10839365132 x^{9} + 142386950259 x^{8} - 220520041752 x^{7} + 2493011581014 x^{6} - 2934443802712 x^{5} + 29048118383191 x^{4} - 23239353719744 x^{3} + 203877383312922 x^{2} - 83694270864252 x + 656014524319351$	$20$	[0,10]	$2^{55}\cdot 3^{10}\cdot 5^{15}\cdot 11^{16}$	$4$	$265.298483097$	$265.29848309706273$	✓	✓	?	$C_{20}$ (as 20T1)	$[2, 4, 70338484]$	$2$	$9$	$14452469.589232503$
20.0.351...000.1	$x^{20} + 410 x^{18} + 63140 x^{16} + 4936400 x^{14} + 217300000 x^{12} + 5561404000 x^{10} + 81710048000 x^{8} + 642948880000 x^{6} + 2252271040000 x^{4} + 2009131200000 x^{2} + 435715200000$	$20$	[0,10]	$2^{30}\cdot 5^{15}\cdot 41^{18}$	$3$	$267.471779935$	$267.4717799345858$	✓	✓	?	$C_{20}$ (as 20T1)	$[2, 10, 7752100]$	$2$	$9$	$41023218.25673422$
20.0.371...009.1	$x^{20} - 7 x^{19} + 415 x^{18} - 3593 x^{17} + 70898 x^{16} - 684787 x^{15} + 7178744 x^{14} - 66404996 x^{13} + 508384632 x^{12} - 3922896880 x^{11} + 24314191616 x^{10} - 143706496448 x^{9} + 740204071936 x^{8} - 3120980290048 x^{7} + 14018589634560 x^{6} - 44344200100864 x^{5} + 193437305165824 x^{4} - 484910003585024 x^{3} + 1481673967771648 x^{2} - 2245761449656320 x + 1563308261933056$	$20$	[0,10]	$7^{10}\cdot 11^{16}\cdot 23^{6}\cdot 353^{6}$	$4$	$268.234064576247$	$1623.3584980992744$	✓		?	$C_2^5:C_{10}$ (as 20T72)	$[2, 2, 2, 2, 40, 346000]$	$2$	$9$	$34519791.48567412$
20.0.447...000.2	$x^{20} - 4 x^{19} - 86 x^{18} + 112 x^{17} + 3650 x^{16} + 4964 x^{15} - 65174 x^{14} - 261320 x^{13} + 23270 x^{12} + 2555012 x^{11} + 10098714 x^{10} + 30012420 x^{9} + 83682535 x^{8} + 202581748 x^{7} + 428878820 x^{6} + 768578152 x^{5} + 1262159266 x^{4} + 1741992792 x^{3} + 2387093088 x^{2} + 2006236288 x + 1874870161$	$20$	[0,10]	$2^{40}\cdot 5^{10}\cdot 71^{16}$	$3$	$270.739531136$	$270.73953113621843$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[11, 16231402]$	$2$	$9$	$116573225.49574807$
20.0.106...000.4	$x^{20} + 560 x^{18} + 88200 x^{16} + 4973500 x^{14} + 131334700 x^{12} + 1775155340 x^{10} + 12356086225 x^{8} + 42000693000 x^{6} + 64854011250 x^{4} + 40353607000 x^{2} + 7061881225$	$20$	[0,10]	$2^{40}\cdot 3^{10}\cdot 5^{34}\cdot 7^{10}$	$4$	$282.760438227$	$282.76043822654344$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[2, 2, 4, 4, 4, 44, 30844]$	$2$	$9$	$27849361.142223846$
20.0.106...000.9	$x^{20} + 240 x^{18} - 20 x^{17} + 24405 x^{16} - 1644 x^{15} + 1268390 x^{14} - 102520 x^{13} + 29832030 x^{12} - 10987120 x^{11} + 36950832 x^{10} - 416923380 x^{9} - 6175508585 x^{8} - 676066360 x^{7} + 67604513890 x^{6} + 84561594444 x^{5} + 26808533785 x^{4} + 108843645740 x^{3} + 264017909460 x^{2} - 48089633940 x + 254263476601$	$20$	[0,10]	$2^{40}\cdot 3^{10}\cdot 5^{34}\cdot 7^{10}$	$4$	$282.760438227$	$282.76043822654344$	✓	✓		$C_2\times C_{10}$ (as 20T3)	$[2, 2, 2, 2, 2, 2, 2, 2, 2, 22, 30404]$	$2$	$9$	$180801817.57689384$
20.0.106...000.12	$x^{20} + 40 x^{18} - 20 x^{17} + 1805 x^{16} - 44 x^{15} + 64390 x^{14} + 29080 x^{13} + 1829830 x^{12} + 1333680 x^{11} + 39756432 x^{10} + 27516620 x^{9} + 654022215 x^{8} + 361124040 x^{7} + 7909442290 x^{6} + 3111251244 x^{5} + 66433466785 x^{4} + 18422918540 x^{3} + 353939485660 x^{2} + 67569922460 x + 907898452801$	$20$	[0,10]	$2^{40}\cdot 3^{10}\cdot 5^{34}\cdot 7^{10}$	$4$	$282.760438227$	$282.76043822654344$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[2, 4, 4, 4, 4, 4, 362084]$	$2$	$9$	$19344397.966990974$
20.0.106...000.17	$x^{20} + 20 x^{18} + 2460 x^{16} + 147330 x^{14} + 6250920 x^{12} + 216347538 x^{10} + 5869934205 x^{8} + 112358158740 x^{6} + 1412705580870 x^{4} + 10539698817980 x^{2} + 36382599176401$	$20$	[0,10]	$2^{40}\cdot 3^{10}\cdot 5^{34}\cdot 7^{10}$	$4$	$282.760438227$	$282.76043822654344$	✓	✓		$C_2\times C_{10}$ (as 20T3)	$[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 308440]$	$2$	$9$	$180801817.57689384$
20.0.106...000.18	$x^{20} + 130 x^{18} + 10485 x^{16} + 640520 x^{14} + 30140770 x^{12} + 1089449212 x^{10} + 29820903730 x^{8} + 595507325160 x^{6} + 8125792114845 x^{4} + 67422649492370 x^{2} + 256823092541401$	$20$	[0,10]	$2^{40}\cdot 3^{10}\cdot 5^{34}\cdot 7^{10}$	$4$	$282.760438227$	$282.76043822654344$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[2, 4, 4, 4, 4, 4, 434620]$	$2$	$9$	$19344397.966990974$
20.0.141...584.1	$x^{20} + 112 x^{18} + 7544 x^{16} + 398480 x^{14} + 17488848 x^{12} + 599072544 x^{10} + 15322715456 x^{8} + 283323624192 x^{6} + 3574472126976 x^{4} + 27234449416192 x^{2} + 94591030027264$	$20$	[0,10]	$2^{30}\cdot 11^{16}\cdot 23^{6}\cdot 353^{6}$	$4$	$286.7542768874609$	$1735.4432330844004$	✓		?	$C_2^5:C_{10}$ (as 20T72)	$[2, 4, 4, 8, 1708344]$	$2$	$9$	$42204274.14746344$
20.0.220...000.6	$x^{20} - 2 x^{19} + 131 x^{18} - 296 x^{17} + 5225 x^{16} - 18678 x^{15} + 29109 x^{14} - 591120 x^{13} - 133550 x^{12} - 5082384 x^{11} + 5436326 x^{10} + 53231750 x^{9} + 276729750 x^{8} + 1166178954 x^{7} + 2139997020 x^{6} - 1669082756 x^{5} + 8493008276 x^{4} - 99362801904 x^{3} + 84765787672 x^{2} - 30561478764 x + 137299627081$	$20$	[0,10]	$2^{30}\cdot 5^{10}\cdot 71^{18}$	$3$	$293.199016721$	$293.1990167207502$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[11, 22, 1056352]$	$2$	$9$	$116573225.49574807$
20.0.319...000.1	$x^{20} + 520 x^{18} + 78000 x^{16} + 4394000 x^{14} + 117488800 x^{12} + 1620155680 x^{10} + 11603675200 x^{8} + 41127840000 x^{6} + 68546400000 x^{4} + 47525504000 x^{2} + 9505100800$	$20$	[0,10]	$2^{30}\cdot 5^{34}\cdot 13^{15}$	$3$	$298.711205896$	$298.711205896478$	✓	✓	?	$C_{20}$ (as 20T1)	$[2, 262450114]$	$2$	$9$	$47804543.59281621$
20.0.388...000.1	$x^{20} + 390 x^{18} - 410 x^{17} + 47525 x^{16} - 23576 x^{15} + 2376790 x^{14} + 1155600 x^{13} + 62913495 x^{12} + 52805040 x^{11} + 1009324309 x^{10} + 579321460 x^{9} + 9051016800 x^{8} - 1620898960 x^{7} + 48159593480 x^{6} - 31559673260 x^{5} + 217327929960 x^{4} - 51110077080 x^{3} + 821957983120 x^{2} + 512305253600 x + 107326429960$	$20$	[0,10]	$2^{24}\cdot 5^{26}\cdot 41^{15}$	$3$	$301.637194619$	$589.3197467342357$	✓		?	$(C_5\times C_{10}).D_4$ (as 20T105)	$[2, 2, 2, 2, 2, 2, 2667020]$	$2$	$9$	$824768892.422$
20.0.404...000.5	$x^{20} - 4 x^{19} + 2 x^{18} - 48 x^{17} + 946 x^{16} - 1220 x^{15} + 20818 x^{14} - 33104 x^{13} + 572590 x^{12} - 288780 x^{11} + 11227130 x^{10} - 557284 x^{9} + 161496439 x^{8} + 43372644 x^{7} + 1855179564 x^{6} + 1132575984 x^{5} + 15346327698 x^{4} + 10059206184 x^{3} + 78239489544 x^{2} + 29389823568 x + 177674855049$	$20$	[0,10]	$2^{40}\cdot 3^{10}\cdot 5^{10}\cdot 41^{16}$	$4$	$302.226614474$	$302.2266144740588$	✓	✓		$C_2\times C_{10}$ (as 20T3)	$[2, 2, 2, 2, 2, 3432110]$	$2$	$9$	$9452086796.91891$
20.0.663...000.5	$x^{20} - 2 x^{19} - 57 x^{18} + 118 x^{17} + 2077 x^{16} - 3198 x^{15} - 18998 x^{14} - 64298 x^{13} + 509781 x^{12} + 299032 x^{11} + 8761372 x^{10} - 22197228 x^{9} + 53569228 x^{8} - 217328252 x^{7} + 1831089339 x^{6} + 1840387582 x^{5} + 25772416231 x^{4} + 24488206434 x^{3} + 134963891166 x^{2} + 66897276912 x + 246562051689$	$20$	[0,10]	$2^{30}\cdot 3^{10}\cdot 5^{10}\cdot 41^{18}$	$4$	$309.810472483$	$309.81047248337444$	✓	✓		$C_2\times C_{10}$ (as 20T3)	$[2, 2, 2, 2, 2, 2, 2, 2, 4, 290532]$	$2$	$9$	$3541438824.6395073$
20.0.663...000.6	$x^{20} - 10 x^{19} - 79 x^{18} + 996 x^{17} + 2452 x^{16} - 43484 x^{15} - 10862 x^{14} + 922480 x^{13} - 3887 x^{12} - 14266122 x^{11} + 9489317 x^{10} + 111370892 x^{9} - 41725982 x^{8} - 706860960 x^{7} + 1241919960 x^{6} - 575898768 x^{5} + 1964639016 x^{4} - 4121177184 x^{3} + 86704169904 x^{2} - 84572527680 x + 369595501344$	$20$	[0,10]	$2^{30}\cdot 3^{10}\cdot 5^{10}\cdot 41^{18}$	$4$	$309.810472483$	$309.81047248337444$	✓	✓		$C_2\times C_{10}$ (as 20T3)	$[2, 2, 2, 2, 2, 2, 2, 2, 44, 18744]$	$2$	$9$	$6411717617.202166$
20.0.663...000.11	$x^{20} + 106 x^{18} + 4720 x^{16} + 233896 x^{14} + 13285840 x^{12} + 249048352 x^{10} + 5045005888 x^{8} + 96595229824 x^{6} + 1597110191104 x^{4} + 17217802752 x^{2} + 559121089536$	$20$	[0,10]	$2^{30}\cdot 3^{10}\cdot 5^{10}\cdot 41^{18}$	$4$	$309.810472483$	$309.81047248337444$	✓	✓		$C_2\times C_{10}$ (as 20T3)	$[2, 2, 2, 2, 2, 4240400]$	$2$	$9$	$9452086796.91891$
20.0.663...000.22	$x^{20} - 2 x^{19} + 183 x^{18} - 314 x^{17} + 21349 x^{16} - 32382 x^{15} + 1839946 x^{14} - 2862362 x^{13} + 121922757 x^{12} - 184638728 x^{11} + 6272846668 x^{10} - 8349870828 x^{9} + 245568378220 x^{8} - 255366343868 x^{7} + 7133505512379 x^{6} - 4669719511778 x^{5} + 146248193880223 x^{4} - 39603127634430 x^{3} + 1868945223446574 x^{2} - 58397079968928 x + 10934919736011801$	$20$	[0,10]	$2^{30}\cdot 3^{10}\cdot 5^{10}\cdot 41^{18}$	$4$	$309.810472483$	$309.81047248337444$	✓	✓		$C_2\times C_{10}$ (as 20T3)	$[2, 2, 2, 2, 2, 2, 2, 2, 4, 374412]$	$2$	$9$	$3541438824.6395073$
20.0.694...000.1	$x^{20} - 4 x^{19} - 15 x^{18} + 82 x^{17} + 939 x^{16} - 3668 x^{15} + 15256 x^{14} - 37616 x^{13} + 120164 x^{12} + 133364 x^{11} + 6370066 x^{10} - 23278548 x^{9} + 266289852 x^{8} - 545513248 x^{7} + 3789497873 x^{6} - 5663152336 x^{5} + 25947045609 x^{4} - 21357492094 x^{3} + 113274078335 x^{2} - 6996693352 x + 216476277061$	$20$	[0,10]	$2^{20}\cdot 3^{10}\cdot 5^{15}\cdot 61^{16}$	$4$	$310.514578064$	$310.51457806405796$	✓	✓		$C_{20}$ (as 20T1)	$[10, 64857610]$	$2$	$9$	$366097410.81371444$
20.0.715...000.1	$x^{20} + 130 x^{18} - 20 x^{17} + 8800 x^{16} - 764 x^{15} + 396150 x^{14} + 21060 x^{13} + 12830690 x^{12} + 2552300 x^{11} + 310138170 x^{10} + 108420400 x^{9} + 5668306995 x^{8} + 2719793140 x^{7} + 76757659400 x^{6} + 40711037368 x^{5} + 722807009110 x^{4} + 330780773040 x^{3} + 4196964542000 x^{2} + 1107352296080 x + 11291153060857$	$20$	[0,10]	$2^{30}\cdot 5^{32}\cdot 17^{15}$	$3$	$310.980882359$	$310.98088235941265$	✓	✓	?	$C_{20}$ (as 20T1)	$[2, 106724162]$	$2$	$9$	$103447354.91828637$
20.0.752...000.1	$x^{20} - 4 x^{19} + 315 x^{18} - 1114 x^{17} + 41560 x^{16} - 128764 x^{15} + 2923384 x^{14} - 7815380 x^{13} + 115326734 x^{12} - 259868396 x^{11} + 2472180640 x^{10} - 4536732452 x^{9} + 27675900374 x^{8} - 40062680052 x^{7} + 224203197309 x^{6} - 262142242452 x^{5} + 1203330073916 x^{4} - 997073174094 x^{3} + 4136129114757 x^{2} - 1917948259382 x + 7031931591101$	$20$	[0,10]	$2^{20}\cdot 5^{15}\cdot 11^{16}\cdot 13^{15}$	$4$	$311.766294557$	$311.7662945571521$	✓	✓	?	$C_{20}$ (as 20T1)	$[2, 2, 185518324]$	$2$	$9$	$40471423.40714512$
20.0.752...000.2	$x^{20} - 4 x^{19} + 315 x^{18} - 1114 x^{17} + 45460 x^{16} - 141244 x^{15} + 3956104 x^{14} - 10685780 x^{13} + 229810454 x^{12} - 531124316 x^{11} + 9309194200 x^{10} - 17976765812 x^{9} + 266292849854 x^{8} - 414258891012 x^{7} + 5311831568589 x^{6} - 6267755680692 x^{5} + 70722381249776 x^{4} - 56512538407374 x^{3} + 567642204410037 x^{2} - 231449391531422 x + 2086214435804201$	$20$	[0,10]	$2^{20}\cdot 5^{15}\cdot 11^{16}\cdot 13^{15}$	$4$	$311.766294557$	$311.7662945571521$	✓	✓	?	$C_{20}$ (as 20T1)	$[2, 4, 69842884]$	$2$	$9$	$40471423.40714512$
20.0.930...125.1	$x^{20} - 4 x^{19} - 180 x^{18} + 1861 x^{17} + 41285 x^{16} + 56486 x^{15} - 1770231 x^{14} + 13207675 x^{13} + 539202114 x^{12} + 6259348669 x^{11} + 44724494010 x^{10} + 229585020498 x^{9} + 900899023954 x^{8} + 2784140309493 x^{7} + 6871932187949 x^{6} + 13592479679308 x^{5} + 21415551177601 x^{4} + 26404835212626 x^{3} + 24419514025237 x^{2} + 15370942553698 x + 5232878702531$	$20$	[0,10]	$3^{16}\cdot 5^{15}\cdot 11^{12}\cdot 41^{12}$	$4$	$315.086961494$	$1069.7092235816292$			?	$C_5\times F_5$ (as 20T29)	$[5, 5, 5, 1665305]$	$10$	$9$	$963337255.3397985$
20.0.143...000.2	$x^{20} - 170 x^{18} + 13970 x^{16} - 902 x^{15} - 676800 x^{14} + 120230 x^{13} + 20953775 x^{12} - 6968280 x^{11} - 414134351 x^{10} + 238909550 x^{9} + 5074550610 x^{8} - 4276903400 x^{7} - 21092572535 x^{6} + 54801750652 x^{5} - 187558748575 x^{4} + 155862360940 x^{3} + 3562312190225 x^{2} - 9509061581690 x + 16039254706751$	$20$	[0,10]	$2^{30}\cdot 5^{35}\cdot 11^{16}$	$3$	$322.000576475$	$322.000576475146$	✓	✓	?	$C_{20}$ (as 20T1)	$[183427210]$	$2$	$9$	$860169583.1577827$
20.0.143...000.3	$x^{20} - 170 x^{18} + 13970 x^{16} - 2552 x^{15} - 676800 x^{14} + 478280 x^{13} + 20953775 x^{12} - 35460480 x^{11} - 411711326 x^{10} + 1384479800 x^{9} + 4616589810 x^{8} - 28427326400 x^{7} + 7753231540 x^{6} + 318126118552 x^{5} - 830021195575 x^{4} - 627310736360 x^{3} + 8276685709850 x^{2} - 17767331888240 x + 17554000481876$	$20$	[0,10]	$2^{30}\cdot 5^{35}\cdot 11^{16}$	$3$	$322.000576475$	$322.000576475146$	✓	✓		$C_{20}$ (as 20T1)	$[2, 2, 2, 2, 12193810]$	$2$	$9$	$4235385044.5954027$
20.0.266...000.2	$x^{20} + 305 x^{18} + 35990 x^{16} + 2154825 x^{14} + 71180900 x^{12} + 1315892000 x^{10} + 13257358750 x^{8} + 68522062500 x^{6} + 163018230000 x^{4} + 148205028125 x^{2} + 21649090625$	$20$	[0,10]	$2^{20}\cdot 5^{15}\cdot 61^{19}$	$3$	$332.139740623$	$332.13974062252896$	✓	✓	?	$C_{20}$ (as 20T1)	$[2, 2, 122, 250100]$	$2$	$9$	$398872163.22998685$
20.0.443...000.1	$x^{20} + 248 x^{18} + 16337 x^{16} + 409448 x^{14} + 3933032 x^{12} + 12200608 x^{10} + 14210307 x^{8} + 7465048 x^{6} + 1794187 x^{4} + 161448 x^{2} + 961$	$20$	[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)	$[2, 2, 2, 2, 2, 404, 13332]$	$2$	$9$	$6313916701.897883$
20.0.443...000.3	$x^{20} + 468 x^{18} + 83997 x^{16} + 7247988 x^{14} + 307624392 x^{12} + 6019595028 x^{10} + 56627249607 x^{8} + 246505701708 x^{6} + 412083596367 x^{4} + 217939545108 x^{2} + 265070961$	$20$	[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)	$[2, 2, 2, 2, 2, 202, 66660]$	$2$	$9$	$2425171378.8887568$
20.0.443...000.6	$x^{20} - 32 x^{18} + 1397 x^{16} - 114312 x^{14} + 2159792 x^{12} - 19145372 x^{10} + 476229607 x^{8} + 8331032808 x^{6} + 58165466967 x^{4} + 171331481608 x^{2} + 312893678161$	$20$	[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)	$[2, 2, 2, 2, 2, 22, 44, 13332]$	$2$	$9$	$2725468819.573966$