Number field search results

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

Results (1-50 of 230 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
20.0.176...000.7	$x^{20} + 120 x^{18} + 7030 x^{16} - 2 x^{15} + 261280 x^{14} + 170 x^{13} + 6773795 x^{12} + 11580 x^{11} + 127430747 x^{10} + 298470 x^{9} + 1756855370 x^{8} + 3441980 x^{7} + 17501128105 x^{6} + 4691704 x^{5} + 120490616165 x^{4} - 303834980 x^{3} + 517958259535 x^{2} - 2457333470 x + 1057144858799$	$20$	[0,10]	$2^{30}\cdot 5^{34}\cdot 7^{10}$	$3$	$115.436465517$	$115.4364655167991$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[4, 4, 44, 44, 440]$	$2$	$9$	$161406.8376411007$
20.0.123...000.4	$x^{20} + 150 x^{18} + 10795 x^{16} - 2 x^{15} + 486760 x^{14} + 200 x^{13} + 15154205 x^{12} + 17670 x^{11} + 339291893 x^{10} + 549990 x^{9} + 5521535750 x^{8} + 7465670 x^{7} + 64418095255 x^{6} + 9394408 x^{5} + 515424060710 x^{4} - 929158550 x^{3} + 2554775839555 x^{2} - 8326865360 x + 5962868284301$	$20$	[0,10]	$2^{20}\cdot 5^{34}\cdot 17^{10}$	$3$	$127.204789529$	$127.20478952887335$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[28056248]$	$2$	$9$	$161406.8376411007$
20.0.168...568.1	$x^{20} + 250 x^{18} + 24824 x^{16} + 1293276 x^{14} + 39469880 x^{12} + 740513358 x^{10} + 8656323772 x^{8} + 62253591008 x^{6} + 264225505060 x^{4} + 599528699884 x^{2} + 552511488443$	$20$	[0,10]	$2^{36}\cdot 83^{7}\cdot 983^{6}$	$3$	$129.210372907$		✓		?	$C_2^8.(C_2^2\times S_5)$ (as 20T804)	$[2, 2, 2, 2478842]$	$2$	$9$	$272473.726744$
20.0.185...000.1	$x^{20} + 244 x^{18} + 22695 x^{16} + 1103580 x^{14} + 31752023 x^{12} + 570295881 x^{10} + 6479901642 x^{8} + 45584687570 x^{6} + 185406068875 x^{4} + 369631364129 x^{2} + 219147162389$	$20$	[0,10]	$2^{20}\cdot 5^{14}\cdot 6029^{7}$	$3$	$129.835916535$		✓		?	$(C_2^4\times C_4):S_5$ (as 20T375)	$[2, 6976916]$	$2$	$9$	$341439.528105$
20.0.185...000.2	$x^{20} + 200 x^{18} + 16430 x^{16} + 736170 x^{14} + 19971630 x^{12} + 342629406 x^{10} + 3757874380 x^{8} + 25954091375 x^{6} + 107663590980 x^{4} + 240992815830 x^{2} + 219147162389$	$20$	[0,10]	$2^{20}\cdot 5^{14}\cdot 6029^{7}$	$3$	$129.835916535$		✓		?	$C_2^5.C_2\wr S_5$ (as 20T796)	$[2, 6707608]$	$2$	$9$	$341439.528105$
20.0.195...000.1	$x^{20} + 220 x^{18} + 19250 x^{16} + 869000 x^{14} + 22220000 x^{12} + 336600000 x^{10} + 3070375000 x^{8} + 16637500000 x^{6} + 50668750000 x^{4} + 75625000000 x^{2} + 37812500000$	$20$	[0,10]	$2^{55}\cdot 5^{10}\cdot 11^{18}$	$3$	$130.187985503$	$130.18798550319198$	✓	✓	?	$C_{20}$ (as 20T1)	$[186, 74586]$	$2$	$9$	$530208.2507325789$
20.0.315...000.1	$x^{20} + 320 x^{18} + 42620 x^{16} + 3089950 x^{14} + 133406025 x^{12} + 3518361755 x^{10} + 55944354250 x^{8} + 513229518325 x^{6} + 2534690146825 x^{4} + 5948819670525 x^{2} + 5169421368005$	$20$	[0,10]	$2^{20}\cdot 5^{35}\cdot 251^{2}\cdot 4051^{2}$	$4$	$133.337129002$	$61836.76079528534$	✓		?	$C_2^4:C_{20}$ (as 20T75)	$[2, 2, 2, 12, 399660]$	$2$	$9$	$161406.837641$
20.0.315...000.2	$x^{20} + 310 x^{18} + 39870 x^{16} + 2798650 x^{14} + 118780475 x^{12} + 3179289615 x^{10} + 54008113350 x^{8} + 566304002475 x^{6} + 3383696380375 x^{4} + 9384437729375 x^{2} + 5169421368005$	$20$	[0,10]	$2^{20}\cdot 5^{35}\cdot 251^{2}\cdot 4051^{2}$	$4$	$133.337129002$		✓		?	$C_2^8.C_{20}$ (as 20T344)	$[2, 2, 2, 2, 2488294]$	$2$	$9$	$161406.837641$
20.0.315...000.3	$x^{20} + 220 x^{18} + 21170 x^{16} + 1171050 x^{14} + 41145925 x^{12} + 956975255 x^{10} + 14871874050 x^{8} + 151833201625 x^{6} + 968854356725 x^{4} + 3458572341425 x^{2} + 5169421368005$	$20$	[0,10]	$2^{20}\cdot 5^{35}\cdot 251^{2}\cdot 4051^{2}$	$4$	$133.337129002$		✓		?	$C_2^8.C_{20}$ (as 20T344)	$[2, 2, 2, 2, 2584302]$	$2$	$9$	$161406.837641$
20.0.357...000.1	$x^{20} + 370 x^{18} + 55620 x^{16} + 4488850 x^{14} + 214685475 x^{12} + 6306436255 x^{10} + 113790309300 x^{8} + 1220914673775 x^{6} + 7148125674525 x^{4} + 18168127845025 x^{2} + 5857959624005$	$20$	[0,10]	$2^{20}\cdot 5^{35}\cdot 601^{2}\cdot 1801^{2}$	$4$	$134.17336807$	$63800.31777789046$	✓		?	$C_2^4:C_{20}$ (as 20T75)	$[2, 2, 2, 160, 32320]$	$2$	$9$	$161406.837641$
20.0.784...000.6	$x^{20} + 135 x^{18} + 8985 x^{16} + 393684 x^{14} + 12476160 x^{12} + 291632342 x^{10} + 4957175974 x^{8} + 59271734905 x^{6} + 471001418299 x^{4} + 2230354203015 x^{2} + 4762385279521$	$20$	[0,10]	$2^{20}\cdot 5^{10}\cdot 11^{18}\cdot 13^{10}$	$4$	$139.553293565$	$139.5532935645511$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[2, 21586840]$	$2$	$9$	$281202.4907663525$
20.0.164...000.9	$x^{20} - 2 x^{19} + 59 x^{18} - 96 x^{17} + 2359 x^{16} - 3662 x^{15} + 65679 x^{14} - 91076 x^{13} + 1404483 x^{12} - 1807130 x^{11} + 23492371 x^{10} - 27106178 x^{9} + 307055859 x^{8} - 316020408 x^{7} + 3107548543 x^{6} - 2733365734 x^{5} + 23097010519 x^{4} - 16231085948 x^{3} + 116125201467 x^{2} - 53148809186 x + 292007118139$	$20$	[0,10]	$2^{30}\cdot 5^{10}\cdot 7^{10}\cdot 11^{18}$	$4$	$144.82129689$	$144.82129688954137$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[4, 5134840]$	$2$	$9$	$1415140.1624943546$
20.0.463...000.1	$x^{20} + 369 x^{18} + 49600 x^{16} + 3346810 x^{14} + 128674960 x^{12} + 2982904259 x^{10} + 42546340536 x^{8} + 370949598950 x^{6} + 1897966067335 x^{4} + 5130638907150 x^{2} + 5478679059725$	$20$	[0,10]	$2^{20}\cdot 5^{16}\cdot 6029^{7}$	$3$	$152.507727055$		✓		?	$C_2^5.C_2\wr S_5$ (as 20T796)	$[2, 2, 24839302]$	$2$	$9$	$341439.528105$
20.0.658...049.1	$x^{20} - 3 x^{19} + 282 x^{18} - 224 x^{17} + 30751 x^{16} + 31501 x^{15} + 1741913 x^{14} + 4226052 x^{13} + 59459057 x^{12} + 181083914 x^{11} + 1332452796 x^{10} + 3629444756 x^{9} + 18834291180 x^{8} + 40625770060 x^{7} + 156097776357 x^{6} + 265083906914 x^{5} + 993121367567 x^{4} + 784430792742 x^{3} + 3703527579233 x^{2} + 1482365904611 x + 5214568583503$	$20$	[0,10]	$3^{10}\cdot 401^{15}$	$2$	$155.209716921$	$155.20971692063756$	✓	✓		$C_5:C_4$ (as 20T2)	$[2, 2, 2, 2, 2, 2, 2, 82, 5002]$	$2$	$9$	$795087.603907$
20.0.153...000.2	$x^{20} - 10 x^{19} + 35 x^{18} - 10 x^{17} + 55 x^{16} - 2108 x^{15} + 15720 x^{14} - 68930 x^{13} + 304360 x^{12} - 1194250 x^{11} + 4543982 x^{10} - 13435700 x^{9} + 40600610 x^{8} - 99960640 x^{7} + 269657185 x^{6} - 531590874 x^{5} + 1178825465 x^{4} - 1752920660 x^{3} + 3461090955 x^{2} - 3506883450 x + 4857308407$	$20$	[0,10]	$2^{30}\cdot 5^{32}\cdot 19^{10}$	$3$	$161.910047767$	$161.91004776653944$	✓	✓		$C_2\times C_{10}$ (as 20T3)	$[11, 1292115]$	$2$	$9$	$42294001.73672045$
20.0.278...736.1	$x^{20} + 246 x^{18} + 23616 x^{16} + 1142424 x^{14} + 30021840 x^{12} + 433908576 x^{10} + 3338003520 x^{8} + 12636590976 x^{6} + 22036561920 x^{4} + 15287864832 x^{2} + 2479113216$	$20$	[0,10]	$2^{30}\cdot 3^{10}\cdot 41^{19}$	$3$	$166.820832722$	$166.82083272241013$	✓	✓		$C_{20}$ (as 20T1)	$[2, 2, 2, 2, 2, 4, 134644]$	$2$	$9$	$5104264.636551031$
20.0.349...000.3	$x^{20} - 10 x^{19} - 15 x^{18} + 420 x^{17} + 495 x^{16} - 14772 x^{15} + 4060 x^{14} + 269870 x^{13} + 28580 x^{12} - 4500870 x^{11} + 1816046 x^{10} + 40780300 x^{9} + 26828720 x^{8} - 416447300 x^{7} + 64802725 x^{6} + 1499675750 x^{5} + 5527504125 x^{4} - 14154588750 x^{3} + 6443371875 x^{2} + 970468750 x + 316393965625$	$20$	[0,10]	$2^{20}\cdot 5^{10}\cdot 11^{18}\cdot 19^{10}$	$4$	$168.711705205$	$168.7117052045981$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[2, 2, 3144020]$	$2$	$9$	$11184526.893275889$
20.0.393...456.1	$x^{20} - 4 x^{19} + 180 x^{18} - 404 x^{17} + 12611 x^{16} - 11976 x^{15} + 466288 x^{14} + 46016 x^{13} + 10130436 x^{12} + 9715964 x^{11} + 137476084 x^{10} + 206843008 x^{9} + 1262940390 x^{8} + 1918640176 x^{7} + 8590912660 x^{6} + 7759556008 x^{5} + 41305060237 x^{4} + 11256387104 x^{3} + 93046433156 x^{2} + 21572953052 x + 29446438327$	$20$	[0,10]	$2^{48}\cdot 97^{2}\cdot 809^{9}$	$3$	$169.71725455280438$		✓		?	$C_2^8.F_5^2:C_2^2$ (as 20T923)	$[2, 2, 2, 3564634]$	$2$	$9$	$8557007.995399473$
20.0.449...000.1	$x^{20} + 166 x^{18} + 10675 x^{16} + 353573 x^{14} + 6717429 x^{12} + 76284670 x^{10} + 518418700 x^{8} + 2034961210 x^{6} + 4213127440 x^{4} + 3683209280 x^{2} + 493123805$	$20$	[0,10]	$2^{20}\cdot 5^{15}\cdot 11^{4}\cdot 9931^{6}$	$4$	$170.857453999$		✓		?	$C_2^8.A_5^2:C_4$ (as 20T1010)	$[2, 2, 3987620]$	$2$	$9$	$8467206.71416$
20.0.450...000.7	$x^{20} - 6 x^{19} + 15 x^{18} - 74 x^{17} + 759 x^{16} - 1908 x^{15} + 13376 x^{14} - 30574 x^{13} + 248508 x^{12} - 273646 x^{11} + 3542958 x^{10} - 2250240 x^{9} + 41176558 x^{8} - 7608160 x^{7} + 370498441 x^{6} + 50123358 x^{5} + 2326214329 x^{4} + 778579040 x^{3} + 9119322015 x^{2} + 2884250250 x + 15639805975$	$20$	[0,10]	$2^{30}\cdot 3^{10}\cdot 5^{10}\cdot 31^{16}$	$4$	$170.875570712$	$170.8755707123507$	✓	✓		$C_2\times C_{10}$ (as 20T3)	$[2, 2, 2, 10, 264620]$	$2$	$9$	$24173706.832424585$
20.0.516...984.1	$x^{20} + 183 x^{18} + 12627 x^{16} + 421632 x^{14} + 7258329 x^{12} + 64153944 x^{10} + 284912883 x^{8} + 601532163 x^{6} + 511482438 x^{4} + 81645084 x^{2} + 3601989$	$20$	[0,10]	$2^{20}\cdot 3^{10}\cdot 61^{19}$	$3$	$172.04971846$	$172.04971846021803$	✓	✓		$C_{20}$ (as 20T1)	$[2, 2, 2530100]$	$2$	$9$	$36549838.47150319$
20.0.934...000.7	$x^{20} + 5 x^{18} - 20 x^{17} + 910 x^{16} + 236 x^{15} + 26360 x^{14} + 26460 x^{13} + 737860 x^{12} + 804900 x^{11} + 15113210 x^{10} + 12037680 x^{9} + 241238600 x^{8} + 119368900 x^{7} + 2830853065 x^{6} + 775988298 x^{5} + 23347784530 x^{4} + 3610501410 x^{3} + 122436468035 x^{2} + 11447764160 x + 315569310049$	$20$	[0,10]	$2^{20}\cdot 3^{10}\cdot 5^{34}\cdot 11^{10}$	$4$	$177.229483972$	$177.22948397152206$	✓	✓		$C_2\times C_{10}$ (as 20T3)	$[2, 7719688]$	$2$	$9$	$180801817.57689384$
20.0.949...000.5	$x^{20} + 275 x^{18} + 28325 x^{16} + 1361250 x^{14} + 31501250 x^{12} + 347703125 x^{10} + 1958687500 x^{8} + 5813671875 x^{6} + 8791406250 x^{4} + 5908203125 x^{2} + 1181640625$	$20$	[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)	$[2, 4, 1998964]$	$2$	$9$	$5868059.799558259$
20.0.949...000.8	$x^{20} + 67 x^{18} + 1937 x^{16} + 31131 x^{14} + 303689 x^{12} + 1822723 x^{10} + 6823873 x^{8} + 11330859 x^{6} + 71316345 x^{4} - 1180449005 x^{2} + 24916306801$	$20$	[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)	$[2, 4, 2910820]$	$2$	$9$	$11184526.893275889$
20.0.949...000.14	$x^{20} + 287 x^{18} + 34937 x^{16} + 2345091 x^{14} + 94428929 x^{12} + 2323887083 x^{10} + 34106092153 x^{8} + 278664715539 x^{6} + 1112289528945 x^{4} + 1641786500795 x^{2} + 522296735401$	$20$	[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)	$[2, 4, 5577220]$	$2$	$9$	$5362955.973727969$
20.0.949...000.15	$x^{20} - 2 x^{19} + 3 x^{18} - 4 x^{17} + 3470 x^{16} - 6936 x^{15} + 10402 x^{14} - 13868 x^{13} + 3898134 x^{12} - 7782400 x^{11} + 11666666 x^{10} - 14347420 x^{9} + 1557827049 x^{8} - 2839812368 x^{7} + 4121797687 x^{6} - 10964008446 x^{5} + 179590101080 x^{4} - 540414511564 x^{3} + 901238922048 x^{2} - 532283743532 x + 1707629255641$	$20$	[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)	$[2, 4, 1591260]$	$2$	$9$	$11184526.893275889$
20.0.949...000.17	$x^{20} - 2 x^{19} + 69 x^{18} - 136 x^{17} + 5549 x^{16} - 10962 x^{15} + 206059 x^{14} - 401156 x^{13} + 7815333 x^{12} - 15229510 x^{11} + 163217351 x^{10} - 307737088 x^{9} + 3347838129 x^{8} - 6382780148 x^{7} + 35515197703 x^{6} - 81919808394 x^{5} + 398300256029 x^{4} - 900155631148 x^{3} + 2015103544347 x^{2} - 1463656482026 x + 3241961064409$	$20$	[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)	$[2, 4, 2989640]$	$2$	$9$	$5362955.973727969$
20.0.112...000.2	$x^{20} - 2 x^{19} - 97 x^{18} + 190 x^{17} + 3905 x^{16} - 6398 x^{15} - 78390 x^{14} + 57086 x^{13} + 904237 x^{12} + 388520 x^{11} - 3987980 x^{10} - 10923148 x^{9} - 11917972 x^{8} + 23685348 x^{7} + 188740539 x^{6} + 373408974 x^{5} + 969501555 x^{4} + 973121202 x^{3} + 1685592342 x^{2} + 828313128 x + 1088922609$	$20$	[0,10]	$2^{30}\cdot 5^{10}\cdot 41^{18}$	$3$	$178.869159686$	$178.86915968604137$	✓	✓		$C_2\times C_{10}$ (as 20T3)	$[2, 42828040]$	$2$	$9$	$3541438824.6395073$
20.0.112...000.3	$x^{20} - 10 x^{19} + 199 x^{18} - 1506 x^{17} + 15393 x^{16} - 90300 x^{15} + 604922 x^{14} - 2767220 x^{13} + 13428857 x^{12} - 48289358 x^{11} + 175790321 x^{10} - 492640862 x^{9} + 1342124467 x^{8} - 2848052980 x^{7} + 5520922330 x^{6} - 8232883868 x^{5} + 9723639107 x^{4} - 8278160402 x^{3} - 1615161017 x^{2} + 4741521926 x + 11215873819$	$20$	[0,10]	$2^{30}\cdot 5^{10}\cdot 41^{18}$	$3$	$178.869159686$	$178.86915968604137$	✓	✓		$C_2\times C_{10}$ (as 20T3)	$[2, 5258096]$	$2$	$9$	$41023218.25673422$
20.0.112...000.4	$x^{20} - 2 x^{19} + 65 x^{18} - 118 x^{17} + 2550 x^{16} - 4024 x^{15} + 72661 x^{14} - 96362 x^{13} + 1573687 x^{12} - 1687702 x^{11} + 26178289 x^{10} - 22501622 x^{9} + 332045847 x^{8} - 225430718 x^{7} + 3115413077 x^{6} - 1566380644 x^{5} + 20342958970 x^{4} - 6430154154 x^{3} + 82545355413 x^{2} - 10933110054 x + 156709628451$	$20$	[0,10]	$2^{30}\cdot 5^{10}\cdot 41^{18}$	$3$	$178.869159686$	$178.86915968604137$	✓	✓		$C_2\times C_{10}$ (as 20T3)	$[2, 2, 15053420]$	$2$	$9$	$5104264.636551031$
20.0.123...000.1	$x^{20} + 240 x^{18} + 18000 x^{16} + 567000 x^{14} + 8650800 x^{12} + 68603760 x^{10} + 285913800 x^{8} + 612360000 x^{6} + 656100000 x^{4} + 314928000 x^{2} + 47239200$	$20$	[0,10]	$2^{55}\cdot 3^{10}\cdot 5^{34}$	$3$	$179.738917929$	$179.73891792921052$	✓	✓		$C_{20}$ (as 20T1)	$[2, 20555050]$	$2$	$9$	$42294001.73672045$
20.0.137...000.1	$x^{20} - 4 x^{19} + 33 x^{18} - 46 x^{17} + 803 x^{16} - 2924 x^{15} + 25680 x^{14} - 74980 x^{13} + 383096 x^{12} - 895320 x^{11} + 5238630 x^{10} - 19460856 x^{9} + 106843288 x^{8} - 375641044 x^{7} + 1357191693 x^{6} - 3391191716 x^{5} + 8213541501 x^{4} - 13729323890 x^{3} + 23426527875 x^{2} - 21846268820 x + 24743548045$	$20$	[0,10]	$2^{20}\cdot 3^{10}\cdot 5^{15}\cdot 31^{16}$	$4$	$180.678918095$	$180.6789180952457$	✓	✓	?	$C_{20}$ (as 20T1)	$[2, 2, 2, 2, 2, 586882]$	$2$	$9$	$24173706.832424585$
20.0.137...000.2	$x^{20} + 245 x^{18} + 23145 x^{16} + 1117300 x^{14} + 30700600 x^{12} + 506522125 x^{10} + 5152499125 x^{8} + 32309321875 x^{6} + 120600750000 x^{4} + 243211512500 x^{2} + 201503753125$	$20$	[0,10]	$2^{20}\cdot 5^{15}\cdot 401^{11}$	$3$	$180.711963153$	$1099.0489219218503$	✓			$C_2^4:D_{20}$ (as 20T138)	$[2, 4, 4, 3080148]$	$2$	$9$	$2526424.45141$
20.0.283...981.1	$x^{20} - x^{19} + 206 x^{18} - 213 x^{17} + 14756 x^{16} - 16247 x^{15} + 409213 x^{14} - 522942 x^{13} + 2482133 x^{12} - 6142727 x^{11} - 32065694 x^{10} - 206931350 x^{9} + 249229907 x^{8} + 2124172560 x^{7} + 930449339 x^{6} - 12719714095 x^{5} + 9464090843 x^{4} - 1873109137 x^{3} + 84463551288 x^{2} - 21510890052 x + 606400602193$	$20$	[0,10]	$3^{10}\cdot 11^{18}\cdot 29^{15}$	$3$	$187.332247012$	$187.3322470123753$	✓	✓	?	$C_{20}$ (as 20T1)	$[2, 6124066]$	$2$	$9$	$15197121.675070647$
20.0.352...000.2	$x^{20} + 20 x^{18} - 20 x^{17} + 645 x^{16} + 116 x^{15} + 14390 x^{14} + 7040 x^{13} + 253690 x^{12} + 194160 x^{11} + 3602088 x^{10} + 3347020 x^{9} + 39836375 x^{8} + 38866760 x^{7} + 329003610 x^{6} + 289047932 x^{5} + 1892348205 x^{4} + 1276163740 x^{3} + 6743617240 x^{2} + 2623654180 x + 11102390257$	$20$	[0,10]	$2^{40}\cdot 5^{32}\cdot 13^{10}$	$3$	$189.401613504$	$189.40161350419268$	✓	✓		$C_2\times C_{10}$ (as 20T3)	$[5, 15941130]$	$2$	$9$	$42294001.73672045$
20.0.383...000.3	$x^{20} - 10 x^{19} + 15 x^{18} + 150 x^{17} - 185 x^{16} - 3212 x^{15} + 20610 x^{14} - 69700 x^{13} + 260725 x^{12} - 873790 x^{11} + 4161641 x^{10} - 13885350 x^{9} + 60023285 x^{8} - 164582500 x^{7} + 539014250 x^{6} - 1091599580 x^{5} + 2783495775 x^{4} - 3915754450 x^{3} + 7813521175 x^{2} - 6013728850 x + 9891422465$	$20$	[0,10]	$2^{30}\cdot 5^{34}\cdot 19^{10}$	$3$	$190.182609183$	$190.18260918286322$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[22, 1093510]$	$2$	$9$	$19344397.966990974$
20.0.383...000.6	$x^{20} + 30 x^{18} - 20 x^{17} + 1360 x^{16} + 36 x^{15} + 45910 x^{14} + 25260 x^{13} + 1241510 x^{12} + 1026700 x^{11} + 25483210 x^{10} + 18779080 x^{9} + 396512975 x^{8} + 224982100 x^{7} + 4538700640 x^{6} + 1783921248 x^{5} + 36060966430 x^{4} + 10079684960 x^{3} + 182832246360 x^{2} + 37137063760 x + 448168676849$	$20$	[0,10]	$2^{30}\cdot 5^{34}\cdot 19^{10}$	$3$	$190.182609183$	$190.18260918286322$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[11652528]$	$2$	$9$	$19344397.966990974$
20.0.496...000.3	$x^{20} - 45 x^{18} - 20 x^{17} + 1035 x^{16} + 636 x^{15} - 7840 x^{14} + 2360 x^{13} + 91710 x^{12} + 74300 x^{11} + 203160 x^{10} - 37920 x^{9} + 5611600 x^{8} + 1269200 x^{7} + 35937265 x^{6} - 1871502 x^{5} + 209760805 x^{4} + 13888310 x^{3} + 772864335 x^{2} + 119407110 x + 1584355549$	$20$	[0,10]	$2^{20}\cdot 3^{10}\cdot 5^{34}\cdot 13^{10}$	$4$	$192.668761882$	$192.6687618815246$	✓	✓		$C_2\times C_{10}$ (as 20T3)	$[2, 2, 4655642]$	$2$	$9$	$180801817.57689384$
20.0.602...125.1	$x^{20} - x^{19} + 253 x^{18} - 244 x^{17} + 22278 x^{16} - 1216 x^{15} + 909430 x^{14} + 946310 x^{13} + 18454456 x^{12} + 46632980 x^{11} + 188056520 x^{10} + 901661781 x^{9} + 1033706923 x^{8} + 7259384884 x^{7} + 5672426873 x^{6} + 10581584071 x^{5} + 54459292816 x^{4} - 137803699260 x^{3} + 307969326850 x^{2} - 492455797555 x + 449673743845$	$20$	[0,10]	$5^{15}\cdot 7^{10}\cdot 31^{18}$	$3$	$194.536925407$	$194.536925406861$	✓	✓	?	$C_{20}$ (as 20T1)	$[2, 2, 2, 2, 2, 2, 576050]$	$2$	$9$	$24173706.832424585$
20.0.611...000.1	$x^{20} + 220 x^{18} + 17930 x^{16} + 666600 x^{14} + 11343200 x^{12} + 82456000 x^{10} + 272371000 x^{8} + 442860000 x^{6} + 352110000 x^{4} + 121000000 x^{2} + 12100000$	$20$	[0,10]	$2^{55}\cdot 5^{15}\cdot 11^{18}$	$3$	$194.676445452$	$194.67644545184405$	✓	✓	?	$C_{20}$ (as 20T1)	$[2, 13569796]$	$2$	$9$	$14452469.589232503$
20.0.611...000.2	$x^{20} + 220 x^{18} + 20570 x^{16} + 1071400 x^{14} + 34223200 x^{12} + 694936000 x^{10} + 8985339000 x^{8} + 71939340000 x^{6} + 334312110000 x^{4} + 793881000000 x^{2} + 714492900000$	$20$	[0,10]	$2^{55}\cdot 5^{15}\cdot 11^{18}$	$3$	$194.676445452$	$194.67644545184405$	✓	✓	?	$C_{20}$ (as 20T1)	$[2, 9682100]$	$2$	$9$	$14452469.589232503$
20.0.619...000.1	$x^{20} + 240 x^{18} + 23040 x^{16} + 1150200 x^{14} + 32464800 x^{12} + 528359760 x^{10} + 4844788200 x^{8} + 23234688000 x^{6} + 50624676000 x^{4} + 49191753600 x^{2} + 17469056160$	$20$	[0,10]	$2^{55}\cdot 3^{10}\cdot 5^{35}$	$3$	$194.800749285$	$194.80074928505934$	✓	✓	?	$C_{20}$ (as 20T1)	$[2, 4, 3198644]$	$2$	$9$	$19344397.966990974$
20.0.619...000.2	$x^{20} + 240 x^{18} + 23760 x^{16} + 1279800 x^{14} + 41666400 x^{12} + 858839760 x^{10} + 11359132200 x^{8} + 95094259200 x^{6} + 481236228000 x^{4} + 1327547491200 x^{2} + 1519222119840$	$20$	[0,10]	$2^{55}\cdot 3^{10}\cdot 5^{35}$	$3$	$194.800749285$	$194.80074928505934$	✓	✓	?	$C_{20}$ (as 20T1)	$[2, 2, 3337924]$	$2$	$9$	$19344397.966990974$
20.0.750...000.6	$x^{20} + 38 x^{18} + 1617 x^{16} + 56078 x^{14} + 1557872 x^{12} + 32388528 x^{10} + 499279507 x^{8} + 5619072258 x^{6} + 44215198547 x^{4} + 222248107898 x^{2} + 541461977281$	$20$	[0,10]	$2^{40}\cdot 5^{10}\cdot 31^{18}$	$3$	$196.684672942$	$196.6846729421633$	✓	✓		$C_2\times C_{10}$ (as 20T3)	$[2, 2, 2, 2, 2, 2, 2, 2, 2, 24644]$	$2$	$9$	$190570522.65858147$
20.0.879...625.2	$x^{20} + 160 x^{18} - 150 x^{17} + 10760 x^{16} - 17594 x^{15} + 420700 x^{14} - 860280 x^{13} + 11380600 x^{12} - 24656430 x^{11} + 236068876 x^{10} - 511086650 x^{9} + 3902735955 x^{8} - 7781677350 x^{7} + 48310631580 x^{6} - 71053686994 x^{5} + 401126058450 x^{4} - 312318598760 x^{3} + 2128501694900 x^{2} - 937131504260 x + 6583472493451$	$20$	[0,10]	$3^{10}\cdot 5^{35}\cdot 13^{15}$	$3$	$198.251119853$	$198.25111985296687$	✓	✓		$C_{20}$ (as 20T1)	$[2, 22048052]$	$2$	$9$	$208779686.22504243$
20.0.138...816.1	$x^{20} + 56 x^{18} + 1886 x^{16} + 49810 x^{14} + 1093053 x^{12} + 18721017 x^{10} + 239417429 x^{8} + 2213465814 x^{6} + 13962781746 x^{4} + 53192284016 x^{2} + 92374052761$	$20$	[0,10]	$2^{20}\cdot 11^{16}\cdot 23^{6}\cdot 353^{6}$	$4$	$202.76589372136846$	$1227.1436784782857$	✓		?	$C_2^5:C_{10}$ (as 20T72)	$[2, 4, 4, 24, 80784]$	$2$	$9$	$10656564.53224444$
20.0.168...000.3	$x^{20} + 8 x^{18} + 97 x^{16} - 236 x^{14} + 7044 x^{12} - 90608 x^{10} + 1279523 x^{8} - 17903884 x^{6} + 250659095 x^{4} - 3509226120 x^{2} + 49129165801$	$20$	[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)	$[22, 22, 22088]$	$2$	$9$	$70462385.66386804$
20.0.168...000.6	$x^{20} + 32 x^{18} + 529 x^{16} + 6412 x^{14} + 67860 x^{12} + 686608 x^{10} + 6877091 x^{8} + 68780348 x^{6} + 687808199 x^{4} + 6878083200 x^{2} + 68780832121$	$20$	[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)	$[2, 4, 4660568]$	$2$	$9$	$14452469.589232503$
20.0.168...000.8	$x^{20} + 392 x^{18} + 64729 x^{16} + 5859812 x^{14} + 317172100 x^{12} + 10503433808 x^{10} + 209130391771 x^{8} + 2359546225988 x^{6} + 13317837505399 x^{4} + 28830230985080 x^{2} + 149429406721$	$20$	[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)	$[2, 4, 5225204]$	$2$	$9$	$11184526.893275889$
20.0.168...000.11	$x^{20} + 54 x^{18} + 3961 x^{16} + 98526 x^{14} + 3954160 x^{12} + 38824576 x^{10} + 1604479779 x^{8} - 2034260966 x^{6} + 399450190019 x^{4} - 2497505487390 x^{2} + 51445143565729$	$20$	[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)	$[2, 8, 2053936]$	$2$	$9$	$14452469.589232503$