Number field search results

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

Results (1-50 of 2404 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
20.0.312...000.1	$x^{20} + 40 x^{18} + 680 x^{16} + 6400 x^{14} + 36400 x^{12} + 128160 x^{10} + 275200 x^{8} + 342400 x^{6} + 224000 x^{4} + 64000 x^{2} + 5120$	$20$	[0,10]	$2^{30}\cdot 5^{35}$	$2$	$47.2870804502$	$47.28708045015879$	✓	✓	?	$C_{20}$ (as 20T1)	$[1202]$	$2$	$9$	$161406.837641$
20.0.340...344.1	$x^{20} + 29 x^{18} + 368 x^{16} + 2686 x^{14} + 12466 x^{12} + 38378 x^{10} + 79259 x^{8} + 108301 x^{6} + 93630 x^{4} + 46230 x^{2} + 9901$	$20$	[0,10]	$2^{20}\cdot 3^{10}\cdot 11^{18}\cdot 9901$	$4$	$47.492823835$		✓		✓	$C_2^{10}.C_{10}$ (as 20T409)	$[2, 690]$	$2$	$9$	$125582.779517$
20.0.372...000.1	$x^{20} + 31 x^{18} + 419 x^{16} + 3244 x^{14} + 15880 x^{12} + 51113 x^{10} + 108761 x^{8} + 149291 x^{6} + 123804 x^{4} + 53436 x^{2} + 7919$	$20$	[0,10]	$2^{20}\cdot 5^{10}\cdot 11^{16}\cdot 7919$	$4$	$47.7048641136$		✓		?	$C_2^{10}.C_{10}$ (as 20T409)	$[1672]$	$2$	$9$	$140644.599182$
20.0.629...000.1	$x^{20} + 25 x^{18} + 271 x^{16} + 1670 x^{14} + 6444 x^{12} + 16160 x^{10} + 26445 x^{8} + 27575 x^{6} + 17275 x^{4} + 5750 x^{2} + 745$	$20$	[0,10]	$2^{20}\cdot 5^{15}\cdot 149\cdot 6029^{4}$	$4$	$48.9740329516$		✓		?	$C_2^8.(D_4\times S_5)$ (as 20T887)	$[2, 520]$	$2$	$9$	$341439.528105$
20.0.911...456.1	$x^{20} + 29 x^{18} + 361 x^{16} + 2539 x^{14} + 11180 x^{12} + 32258 x^{10} + 61918 x^{8} + 78302 x^{6} + 62633 x^{4} + 28705 x^{2} + 5741$	$20$	[0,10]	$2^{20}\cdot 11^{16}\cdot 5741^{3}$	$3$	$49.8875614589$		✓		✓	$C_4\wr C_5$ (as 20T335)	$[1762]$	$2$	$9$	$191186.547739$
20.0.100...125.1	$x^{20} - x^{19} + 35 x^{18} - 36 x^{17} + 500 x^{16} - 536 x^{15} + 3874 x^{14} - 4410 x^{13} + 18734 x^{12} - 23144 x^{11} + 64285 x^{10} - 88253 x^{9} + 181094 x^{8} - 254178 x^{7} + 456689 x^{6} - 492583 x^{5} + 958226 x^{4} - 411001 x^{3} + 1371042 x^{2} + 173262 x + 1197901$	$20$	[0,10]	$3^{10}\cdot 5^{15}\cdot 11^{18}$	$3$	$50.1235182543$	$50.12351825429183$	✓	✓	?	$C_{20}$ (as 20T1)	$[2, 2, 842]$	$2$	$9$	$140644.599182$
20.0.125...944.1	$x^{20} - 4 x^{19} + 32 x^{18} + 6 x^{17} + 202 x^{16} + 938 x^{15} + 1790 x^{14} + 5494 x^{13} + 12527 x^{12} + 17820 x^{11} + 50458 x^{10} + 56452 x^{9} + 119267 x^{8} + 113984 x^{7} + 353348 x^{6} + 19962 x^{5} + 844391 x^{4} - 209964 x^{3} + 1076236 x^{2} - 150400 x + 539177$	$20$	[0,10]	$2^{30}\cdot 11^{18}\cdot 1451^{2}$	$3$	$50.6950028005$		✓		?	$C_2^9.C_{10}$ (as 20T340)	$[2, 850]$	$2$	$9$	$281202.490766$
20.0.125...944.2	$x^{20} - 6 x^{19} + 28 x^{18} - 54 x^{17} + 56 x^{16} + 184 x^{15} + 1638 x^{14} - 16140 x^{13} + 84550 x^{12} - 301356 x^{11} + 842392 x^{10} - 1926386 x^{9} + 3717519 x^{8} - 6131704 x^{7} + 8726846 x^{6} - 10659646 x^{5} + 11152518 x^{4} - 9762542 x^{3} + 6937796 x^{2} - 3721474 x + 1233541$	$20$	[0,10]	$2^{30}\cdot 11^{18}\cdot 1451^{2}$	$3$	$50.6950028005$		✓		?	$C_2^9.C_{10}$ (as 20T340)	$[2, 878]$	$2$	$9$	$281202.490766$
20.0.139...336.6	$x^{20} - 6 x^{19} - 3 x^{18} + 76 x^{17} + 6 x^{16} - 716 x^{15} + 1124 x^{14} + 746 x^{13} - 1614 x^{12} - 3738 x^{11} + 31152 x^{10} - 64886 x^{9} + 160716 x^{8} - 233920 x^{7} + 672301 x^{6} - 960348 x^{5} + 2267144 x^{4} - 2279050 x^{3} + 3509093 x^{2} - 1817414 x + 1908103$	$20$	[0,10]	$2^{30}\cdot 7^{10}\cdot 11^{16}$	$3$	$50.9575056884$	$50.95750568841268$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[11, 110]$	$2$	$9$	$530208.250733$
20.0.150...625.2	$x^{20} - 10 x^{19} + 55 x^{18} - 210 x^{17} + 715 x^{16} - 2250 x^{15} + 6655 x^{14} - 17485 x^{13} + 43615 x^{12} - 99585 x^{11} + 218518 x^{10} - 432640 x^{9} + 837095 x^{8} - 1427265 x^{7} + 2414710 x^{6} - 3425825 x^{5} + 4994295 x^{4} - 5360940 x^{3} + 6692935 x^{2} - 4116040 x + 4451401$	$20$	[0,10]	$5^{34}\cdot 11^{10}$	$2$	$51.1617451396$	$51.16174513964836$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[5, 710]$	$2$	$9$	$161406.837641$
20.0.188...000.1	$x^{20} + 44 x^{18} + 646 x^{16} + 4788 x^{14} + 20635 x^{12} + 54632 x^{10} + 89857 x^{8} + 89868 x^{6} + 51571 x^{4} + 15088 x^{2} + 1699$	$20$	[0,10]	$2^{20}\cdot 5^{10}\cdot 19^{4}\cdot 1699^{5}$	$4$	$51.7385273076$	$1136.3274176046268$	✓		?	$D_{10}\wr C_2$ (as 20T168)	$[1246]$	$2$	$9$	$351148.02443$
20.0.192...024.1	$x^{20} + 32 x^{18} + 424 x^{16} + 3097 x^{14} + 13945 x^{12} + 40764 x^{10} + 78842 x^{8} + 100146 x^{6} + 80304 x^{4} + 36845 x^{2} + 7369$	$20$	[0,10]	$2^{20}\cdot 11^{16}\cdot 7369^{3}$	$3$	$51.7911348338$	$20745.13102338319$	✓		?	$C_4\wr C_5$ (as 20T335)	$[2, 1090]$	$2$	$9$	$217834.368488$
20.0.202...625.1	$x^{20} - 4 x^{19} + 34 x^{18} - 96 x^{17} + 337 x^{16} - 610 x^{15} + 1271 x^{14} - 1037 x^{13} + 2070 x^{12} + 2371 x^{11} + 5375 x^{10} + 6616 x^{9} + 42851 x^{8} - 19136 x^{7} + 183155 x^{6} - 111821 x^{5} + 401105 x^{4} - 200424 x^{3} + 487862 x^{2} - 125820 x + 297859$	$20$	[0,10]	$3^{10}\cdot 5^{10}\cdot 19^{5}\cdot 1699^{5}$	$4$	$51.9137467873$	$695.8555884664576$	✓		?	$D_5^2:C_2^2$ (as 20T92)	$[2, 1116]$	$2$	$9$	$351148.02443$
20.0.303...249.1	$x^{20} - 6 x^{19} + 35 x^{18} - 136 x^{17} + 507 x^{16} - 1636 x^{15} + 4193 x^{14} - 9518 x^{13} + 16756 x^{12} - 26648 x^{11} + 37971 x^{10} - 87050 x^{9} + 575097 x^{8} - 2617976 x^{7} + 8187004 x^{6} - 18484780 x^{5} + 31602475 x^{4} - 41598580 x^{3} + 40346065 x^{2} - 25841940 x + 8429607$	$20$	[0,10]	$7^{10}\cdot 401^{10}$	$2$	$52.9811287158$	$52.98112871579842$	✓	✓		$D_{10}$ (as 20T4)	$[3, 3, 3, 78]$	$2$	$9$	$795087.603907$
20.0.329...000.1	$x^{20} + 47 x^{18} + 943 x^{16} + 10586 x^{14} + 73265 x^{12} + 324649 x^{10} + 924049 x^{8} + 1640170 x^{6} + 1676815 x^{4} + 810375 x^{2} + 86725$	$20$	[0,10]	$2^{28}\cdot 5^{12}\cdot 3469^{5}$	$3$	$53.1955215805$		✓		?	$C_2^8.D_5^2:C_2^2$ (as 20T756)	$[2, 840]$	$2$	$9$	$828338.933858$
20.0.364...000.1	$x^{20} + 42 x^{18} + 728 x^{16} + 6772 x^{14} + 36846 x^{12} + 120125 x^{10} + 231910 x^{8} + 254205 x^{6} + 146895 x^{4} + 40050 x^{2} + 4005$	$20$	[0,10]	$2^{20}\cdot 3^{6}\cdot 5^{15}\cdot 23^{4}\cdot 89^{5}$	$5$	$53.4671387976$		✓		?	$C_2^8.(D_4\times S_5)$ (as 20T887)	$[2, 2, 582]$	$2$	$9$	$366014.001413$
20.0.432...824.1	$x^{20} - 16 x^{18} + 26 x^{16} - 936 x^{14} + 17713 x^{12} + 1048 x^{10} + 159924 x^{8} - 319648 x^{6} + 499776 x^{4} + 910336 x^{2} + 1048576$	$20$	[0,10]	$2^{20}\cdot 727^{10}$	$2$	$53.9258750509$	$53.925875050851054$	✓	✓		$D_{10}$ (as 20T4)	$[11, 143]$	$4$	$9$	$1212427478.64$
20.0.433...000.1	$x^{20} + 49 x^{18} + 904 x^{16} + 8724 x^{14} + 49997 x^{12} + 179735 x^{10} + 410473 x^{8} + 580023 x^{6} + 465228 x^{4} + 166014 x^{2} + 4761$	$20$	[0,10]	$2^{20}\cdot 3^{6}\cdot 5^{14}\cdot 23^{6}\cdot 89^{4}$	$5$	$53.9314040988$		✓		?	$C_2^8.(C_2^2\times S_5)$ (as 20T794)	$[2, 1036]$	$2$	$9$	$366014.001413$
20.0.452...976.1	$x^{20} + 43 x^{18} + 789 x^{16} + 8096 x^{14} + 51031 x^{12} + 203861 x^{10} + 512574 x^{8} + 776893 x^{6} + 648220 x^{4} + 252630 x^{2} + 32481$	$20$	[0,10]	$2^{20}\cdot 401^{11}$	$2$	$54.0454827705$	$343.2447442534713$	✓			$C_2^5.D_5$ (as 20T84)	$[2, 1066]$	$2$	$9$	$795087.603907$
20.0.452...081.3	$x^{20} - x^{19} + 57 x^{18} - 47 x^{17} + 1358 x^{16} - 888 x^{15} + 17602 x^{14} - 8722 x^{13} + 135642 x^{12} - 48422 x^{11} + 637946 x^{10} - 144089 x^{9} + 1791648 x^{8} - 32737 x^{7} + 2757163 x^{6} + 1386459 x^{5} + 2003270 x^{4} + 4167463 x^{3} - 383733 x^{2} + 1641938 x + 9340321$	$20$	[0,10]	$3^{10}\cdot 11^{18}\cdot 13^{10}$	$3$	$54.0487581884$	$54.04875818839011$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[5, 1100]$	$2$	$9$	$125582.779517$
20.0.582...000.5	$x^{20} - 2 x^{19} + 5 x^{18} - 12 x^{17} + 106 x^{16} - 224 x^{15} + 378 x^{14} - 980 x^{13} + 4758 x^{12} - 10496 x^{11} + 16774 x^{10} - 43646 x^{9} + 150453 x^{8} - 296394 x^{7} + 579913 x^{6} - 598132 x^{5} + 2282848 x^{4} - 720158 x^{3} + 2512812 x^{2} + 1333444 x + 1916641$	$20$	[0,10]	$2^{30}\cdot 5^{10}\cdot 11^{18}$	$3$	$54.7373051594$	$54.73730515936835$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[1464]$	$2$	$9$	$530208.250733$
20.0.582...000.8	$x^{20} - 10 x^{19} + 79 x^{18} - 426 x^{17} + 2029 x^{16} - 7868 x^{15} + 27546 x^{14} - 82468 x^{13} + 225633 x^{12} - 539374 x^{11} + 1180345 x^{10} - 2260566 x^{9} + 3977799 x^{8} - 6099092 x^{7} + 8535738 x^{6} - 10101132 x^{5} + 11433163 x^{4} - 10442226 x^{3} + 8662447 x^{2} - 4511618 x + 8823079$	$20$	[0,10]	$2^{30}\cdot 5^{10}\cdot 11^{18}$	$3$	$54.7373051594$	$54.73730515936835$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[2, 4026]$	$2$	$9$	$140644.599182$
20.0.720...336.1	$x^{20} - 5 x^{19} + 21 x^{18} - 27 x^{17} + 111 x^{16} - 259 x^{15} + 253 x^{14} - 95 x^{13} + 1552 x^{12} + 672 x^{11} + 3307 x^{10} + 7274 x^{9} + 32883 x^{8} + 76288 x^{7} + 224448 x^{6} + 456093 x^{5} + 786619 x^{4} + 872615 x^{3} + 686603 x^{2} + 258966 x + 49111$	$20$	[0,10]	$2^{10}\cdot 31^{3}\cdot 36497^{6}$	$3$	$55.3218127267$	$2127.3523450524126$	✓		?	$C_2^6:S_5$ (as 20T365)	$[2, 644]$	$2$	$9$	$1964183.29544$
20.0.928...976.1	$x^{20} + 31 x^{18} + 398 x^{16} + 2833 x^{14} + 12506 x^{12} + 36026 x^{10} + 68956 x^{8} + 86978 x^{6} + 69452 x^{4} + 31805 x^{2} + 6361$	$20$	[0,10]	$2^{20}\cdot 61^{4}\cdot 397^{4}\cdot 6361^{3}$	$4$	$56.0251300536$	$424570.51850769675$	✓		✓	$C_4^5.S_5$ (as 20T791)	$[38, 76]$	$2$	$9$	$367326.982219$
20.0.938...000.1	$x^{20} + 30 x^{18} + 383 x^{16} + 2742 x^{14} + 12217 x^{12} + 35517 x^{10} + 68497 x^{8} + 86874 x^{6} + 69606 x^{4} + 31925 x^{2} + 6385$	$20$	[0,10]	$2^{20}\cdot 5^{3}\cdot 61^{4}\cdot 397^{4}\cdot 1277^{3}$	$5$	$56.0567866805$	$425771.37854700495$	✓		✓	$C_4^5.S_5$ (as 20T791)	$[2, 10, 170]$	$2$	$9$	$409565.555743$
20.0.992...000.1	$x^{20} + 25 x^{18} + 268 x^{16} + 1613 x^{14} + 5989 x^{12} + 14177 x^{10} + 21323 x^{8} + 19642 x^{6} + 10226 x^{4} + 2590 x^{2} + 245$	$20$	[0,10]	$2^{32}\cdot 5^{11}\cdot 7^{2}\cdot 23^{4}\cdot 431^{4}$	$5$	$56.2124249423$		✓		?	$C_2^8.(C_4\times S_5)$ (as 20T802)	$[2, 2, 476]$	$2$	$9$	$1397389.2024$
20.0.105...000.1	$x^{20} + 50 x^{18} + 1073 x^{16} + 12924 x^{14} + 95854 x^{12} + 451496 x^{10} + 1341646 x^{8} + 2405876 x^{6} + 2340241 x^{4} + 936630 x^{2} + 17345$	$20$	[0,10]	$2^{32}\cdot 5^{11}\cdot 3469^{5}$	$3$	$56.3809735101$		✓		?	$C_2^9.D_5\wr C_2$ (as 20T771)	$[2, 1232]$	$2$	$9$	$828338.933858$
20.0.112...096.1	$x^{20} + 37 x^{18} + 532 x^{16} + 3825 x^{14} + 14809 x^{12} + 30961 x^{10} + 33577 x^{8} + 18297 x^{6} + 4576 x^{4} + 385 x^{2} + 1$	$20$	[0,10]	$2^{20}\cdot 41^{18}$	$2$	$56.5633947768$	$56.56339477682591$	✓	✓		$C_2\times C_{10}$ (as 20T3)	$[1420]$	$4$	$9$	$5104264.63655$
20.0.115...824.3	$x^{20} - 4 x^{19} - 16 x^{18} + 12 x^{17} + 222 x^{16} + 378 x^{15} + 1750 x^{14} + 4112 x^{13} + 13433 x^{12} + 23190 x^{11} + 70881 x^{10} + 89262 x^{9} + 287947 x^{8} + 230252 x^{7} + 856214 x^{6} + 418974 x^{5} + 1783158 x^{4} + 462756 x^{3} + 2333308 x^{2} + 204212 x + 1497569$	$20$	[0,10]	$2^{30}\cdot 401^{10}$	$2$	$56.639209034$	$56.639209034025185$	✓	✓		$D_{10}$ (as 20T4)	$[29, 174]$	$2$	$9$	$795087.603907$
20.0.120...769.2	$x^{20} - x^{19} - 10 x^{18} + 21 x^{17} + 89 x^{16} - 320 x^{15} - 659 x^{14} + 4179 x^{13} + 3070 x^{12} - 49039 x^{11} + 15269 x^{10} - 539429 x^{9} + 371470 x^{8} + 5562249 x^{7} - 9648419 x^{6} - 51536320 x^{5} + 157668929 x^{4} + 409230591 x^{3} - 2143588810 x^{2} - 2357947691 x + 25937424601$	$20$	[0,10]	$11^{18}\cdot 43^{10}$	$2$	$56.7528459138$	$56.75284591382223$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[2, 2, 10, 30]$	$22$	$9$	$26746667.8364$
20.0.133...625.2	$x^{20} - 2 x^{19} + 37 x^{18} - 84 x^{17} + 462 x^{16} - 1512 x^{15} + 6553 x^{14} - 19235 x^{13} + 53719 x^{12} - 127455 x^{11} + 279153 x^{10} - 481338 x^{9} + 653452 x^{8} - 587336 x^{7} + 244207 x^{6} + 48357 x^{5} + 19266 x^{4} - 221220 x^{3} + 224100 x^{2} - 91125 x + 18225$	$20$	[0,10]	$3^{10}\cdot 5^{10}\cdot 7^{10}\cdot 31^{10}$	$4$	$57.0526073024$	$57.05260730238365$		✓		$D_{10}$ (as 20T4)	$[22, 88]$	$2$	$9$	$255586981.075$
20.0.133...625.3	$x^{20} - 10 x^{19} + 53 x^{18} - 192 x^{17} + 905 x^{16} - 4180 x^{15} + 18294 x^{14} - 63680 x^{13} + 184128 x^{12} - 435736 x^{11} + 853479 x^{10} - 1378339 x^{9} + 1781990 x^{8} - 1790508 x^{7} + 1187558 x^{6} - 237809 x^{5} - 409139 x^{4} + 467764 x^{3} + 269196 x^{2} - 443775 x + 562195$	$20$	[0,10]	$3^{10}\cdot 5^{10}\cdot 7^{10}\cdot 31^{10}$	$4$	$57.0526073024$	$57.05260730238365$		✓		$D_{10}$ (as 20T4)	$[2, 22, 88]$	$2$	$9$	$6161971.68016$
20.0.133...625.5	$x^{20} - 6 x^{19} + 53 x^{18} - 244 x^{17} + 1120 x^{16} - 4124 x^{15} + 13097 x^{14} - 38851 x^{13} + 99874 x^{12} - 235835 x^{11} + 542891 x^{10} - 1054816 x^{9} + 2110378 x^{8} - 3724529 x^{7} + 5617475 x^{6} - 8122839 x^{5} + 9109972 x^{4} - 4728816 x^{3} - 423366 x^{2} - 409185 x + 2141055$	$20$	[0,10]	$3^{10}\cdot 5^{10}\cdot 7^{10}\cdot 31^{10}$	$4$	$57.0526073024$	$57.05260730238365$		✓		$D_{10}$ (as 20T4)	$[2, 22, 66]$	$2$	$9$	$25137930.4797$
20.0.143...201.1	$x^{20} - 6 x^{18} + 26 x^{16} - 222 x^{15} + 330 x^{14} + 690 x^{13} - 1266 x^{12} - 1920 x^{11} + 25630 x^{10} - 101226 x^{9} + 139181 x^{8} - 84090 x^{7} + 184336 x^{6} - 197640 x^{5} + 2009536 x^{4} - 4678560 x^{3} + 5809600 x^{2} - 5184000 x + 2560000$	$20$	[0,10]	$3^{10}\cdot 1093^{10}$	$2$	$57.2625532089$	$57.262553208881634$	✓	✓		$D_{10}$ (as 20T4)	$[11, 286]$	$6$	$9$	$25892885.17$
20.0.145...125.1	$x^{20} + 44 x^{18} - 37 x^{17} + 769 x^{16} - 1799 x^{15} + 8136 x^{14} - 27411 x^{13} + 76643 x^{12} - 217497 x^{11} + 553045 x^{10} - 1184443 x^{9} + 2527476 x^{8} - 4505558 x^{7} + 7673064 x^{6} - 12834474 x^{5} + 19281736 x^{4} - 24949939 x^{3} + 27457237 x^{2} - 17683985 x + 5729201$	$20$	[0,10]	$3^{6}\cdot 5^{15}\cdot 23^{6}\cdot 89^{7}$	$4$	$57.3018617869$	$987.5391580513153$	✓		?	$D_4\times C_2^4:S_5$ (as 20T466)	$[2, 2, 1156]$	$2$	$9$	$366014.001413$
20.0.158...000.1	$x^{20} - 2 x^{19} + 16 x^{18} - 22 x^{17} + 251 x^{16} - 312 x^{15} + 2463 x^{14} - 2000 x^{13} + 19766 x^{12} - 13838 x^{11} + 120498 x^{10} - 55698 x^{9} + 586287 x^{8} - 253640 x^{7} + 2275221 x^{6} - 618928 x^{5} + 6380134 x^{4} - 1342832 x^{3} + 12643885 x^{2} - 2415578 x + 11745679$	$20$	[0,10]	$2^{20}\cdot 5^{10}\cdot 11^{7}\cdot 28162171^{2}$	$4$	$57.5398931068$		✓		?	$S_5^2:D_4$ (as 20T781)	$[2, 4128]$	$2$	$9$	$170321.970246$
20.0.159...016.1	$x^{20} + 29 x^{18} - 19 x^{17} + 363 x^{16} - 516 x^{15} + 2749 x^{14} - 6390 x^{13} + 16099 x^{12} - 42411 x^{11} + 81481 x^{10} - 182224 x^{9} + 268289 x^{8} - 501531 x^{7} + 774271 x^{6} - 713742 x^{5} + 1813853 x^{4} - 892260 x^{3} + 1346246 x^{2} - 1607848 x + 1025807$	$20$	[0,10]	$2^{10}\cdot 3^{2}\cdot 401^{12}$	$3$	$57.5590671621$	$569.3117518435084$	✓			$C_2^8.D_{10}$ (as 20T347)	$[2, 2, 678]$	$2$	$9$	$795087.603907$
20.0.180...000.1	$x^{20} + 60 x^{18} + 1530 x^{16} + 21600 x^{14} + 184275 x^{12} + 973215 x^{10} + 3134700 x^{8} + 5850225 x^{6} + 5740875 x^{4} + 2460375 x^{2} + 295245$	$20$	[0,10]	$2^{20}\cdot 3^{10}\cdot 5^{35}$	$3$	$57.9146092644$	$57.91460926441345$	✓	✓	?	$C_{20}$ (as 20T1)	$[2, 4322]$	$2$	$9$	$161406.837641$
20.0.183...104.1	$x^{20} - 5 x^{19} + 54 x^{18} - 316 x^{17} + 1826 x^{16} - 8897 x^{15} + 39894 x^{14} - 156656 x^{13} + 557433 x^{12} - 1787652 x^{11} + 5172726 x^{10} - 13325642 x^{9} + 30691226 x^{8} - 62199734 x^{7} + 109814668 x^{6} - 159859442 x^{5} + 187140141 x^{4} - 156275611 x^{3} + 91765744 x^{2} - 17366336 x + 4729127$	$20$	[0,10]	$2^{32}\cdot 83^{4}\cdot 983^{6}$	$3$	$57.9735195321$		✓		?	$C_2\times C_4^4:S_5$ (as 20T673)	$[2, 2, 1514]$	$2$	$9$	$272473.726744$
20.0.200...608.1	$x^{20} + 44 x^{18} + 770 x^{16} + 6952 x^{14} + 35552 x^{12} + 107712 x^{10} + 196504 x^{8} + 212960 x^{6} + 129712 x^{4} + 38720 x^{2} + 3872$	$20$	[0,10]	$2^{55}\cdot 11^{18}$	$2$	$58.2218370878$	$58.22183708777889$	✓	✓	?	$C_{20}$ (as 20T1)	$[2050]$	$2$	$9$	$530208.250733$
20.0.234...000.1	$x^{20} + 27 x^{18} + 290 x^{16} + 1652 x^{14} + 5528 x^{12} + 11250 x^{10} + 13821 x^{8} + 9740 x^{6} + 3476 x^{4} + 459 x^{2} + 11$	$20$	[0,10]	$2^{20}\cdot 5^{14}\cdot 11^{9}\cdot 353^{4}$	$4$	$58.680073358$		✓		?	$A_5^2:(C_2\times D_4)$ (as 20T658)	$[2, 734]$	$2$	$9$	$3436243.55903$
20.0.248...464.1	$x^{20} + 61 x^{18} + 1490 x^{16} + 18957 x^{14} + 138307 x^{12} + 606888 x^{10} + 1622222 x^{8} + 2579588 x^{6} + 2259251 x^{4} + 897479 x^{2} + 81589$	$20$	[0,10]	$2^{36}\cdot 83^{5}\cdot 983^{5}$	$3$	$58.8520905826$		✓		?	$C_2^9.C_2^4.S_5$ (as 20T965)	$[2, 2, 2076]$	$2$	$9$	$272473.726744$
20.0.248...464.2	$x^{20} + 54 x^{18} + 1156 x^{16} + 13130 x^{14} + 87987 x^{12} + 361804 x^{10} + 913230 x^{8} + 1371346 x^{6} + 1151133 x^{4} + 489534 x^{2} + 81589$	$20$	[0,10]	$2^{36}\cdot 83^{5}\cdot 983^{5}$	$3$	$58.8520905826$		✓		?	$C_2^9.C_2^4.S_5$ (as 20T965)	$[2, 2, 1924]$	$2$	$9$	$272473.726744$
20.0.254...000.1	$x^{20} + 58 x^{18} + 1368 x^{16} + 16943 x^{14} + 119596 x^{12} + 495730 x^{10} + 1220435 x^{8} + 1754905 x^{6} + 1376210 x^{4} + 482320 x^{2} + 30145$	$20$	[0,10]	$2^{20}\cdot 5^{15}\cdot 6029^{5}$	$3$	$58.9276090025$		✓		?	$C_2^5.C_2\wr S_5$ (as 20T797)	$[2, 3332]$	$2$	$9$	$341439.528105$
20.0.254...000.2	$x^{20} + 59 x^{18} + 1457 x^{16} + 19511 x^{14} + 153086 x^{12} + 707510 x^{10} + 1831320 x^{8} + 2368985 x^{6} + 1341665 x^{4} + 334180 x^{2} + 30145$	$20$	[0,10]	$2^{20}\cdot 5^{15}\cdot 6029^{5}$	$3$	$58.9276090025$		✓		?	$C_2^5.C_2\wr S_5$ (as 20T797)	$[2, 2964]$	$2$	$9$	$341439.528105$
20.0.289...376.2	$x^{20} + 33 x^{18} + 409 x^{16} + 2432 x^{14} + 7555 x^{12} + 12737 x^{10} + 11753 x^{8} + 5700 x^{6} + 1297 x^{4} + 113 x^{2} + 1$	$20$	[0,10]	$2^{36}\cdot 71^{6}\cdot 179^{6}$	$3$	$59.3044668737$		✓		?	$C_2^5:S_6$ (as 20T531)	$[2, 620]$	$2$	$9$	$4281756.36554$
20.0.293...000.1	$x^{20} + 25 x^{18} + 265 x^{16} + 1570 x^{14} + 5745 x^{12} + 13497 x^{10} + 20435 x^{8} + 19410 x^{6} + 10815 x^{4} + 3065 x^{2} + 311$	$20$	[0,10]	$2^{36}\cdot 5^{22}\cdot 7^{8}\cdot 311$	$4$	$59.3469265129$		✓		?	$C_2^{10}.F_5$ (as 20T513)	$[2128]$	$2$	$9$	$1633832.53547$
20.0.337...000.1	$x^{20} + 53 x^{18} + 1145 x^{16} + 13110 x^{14} + 86183 x^{12} + 329209 x^{10} + 712221 x^{8} + 836914 x^{6} + 480569 x^{4} + 100601 x^{2} + 3469$	$20$	[0,10]	$2^{36}\cdot 5^{10}\cdot 3469^{5}$	$3$	$59.7571765348$		✓		?	$C_2^8.D_5^2:C_2^2$ (as 20T756)	$[3694]$	$2$	$9$	$828338.933858$
20.0.337...000.2	$x^{20} + 42 x^{18} + 733 x^{16} + 6936 x^{14} + 39054 x^{12} + 135432 x^{10} + 289182 x^{8} + 367352 x^{6} + 254077 x^{4} + 76318 x^{2} + 3469$	$20$	[0,10]	$2^{36}\cdot 5^{10}\cdot 3469^{5}$	$3$	$59.75717653475723$		✓		?	$C_2^8.D_5^2:C_2^2$ (as 20T756)	$[3766]$	$2$	$9$	$828338.9338584389$
20.0.350...625.3	$x^{20} - 8 x^{19} + 40 x^{18} - 123 x^{17} + 384 x^{16} - 999 x^{15} + 3004 x^{14} - 4808 x^{13} + 15643 x^{12} - 57768 x^{11} + 122352 x^{10} + 32265 x^{9} + 387883 x^{8} - 2403755 x^{7} + 270769 x^{6} + 3283896 x^{5} + 15232524 x^{4} - 19717650 x^{3} - 19671525 x^{2} - 14233725 x + 91872225$	$20$	[0,10]	$3^{10}\cdot 5^{10}\cdot 239^{10}$	$3$	$59.8748695197$	$59.87486951969081$	✓	✓		$D_{10}$ (as 20T4)	$[10, 150]$	$2$	$9$	$573613254.833$