Number field search results

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

Results (1-50 of 5200 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
20.0.611...256.3	$x^{20} + 20 x^{18} + 169 x^{16} + 784 x^{14} + 2172 x^{12} + 3664 x^{10} + 3683 x^{8} + 2072 x^{6} + 575 x^{4} + 60 x^{2} + 1$	$20$	[0,10]	$2^{40}\cdot 11^{18}$	$2$	$34.6189114567$	$34.618911456657976$	✓	✓	✓	$C_2\times C_{10}$ (as 20T3)	$[110]$	$2$	$9$	$140601.245383$
20.0.134...616.1	$x^{20} + 36 x^{18} + 571 x^{16} + 5239 x^{14} + 30667 x^{12} + 118956 x^{10} + 306783 x^{8} + 511119 x^{6} + 509969 x^{4} + 254131 x^{2} + 34429$	$20$	[0,10]	$2^{10}\cdot 11^{16}\cdot 43^{2}\cdot 67^{2}\cdot 34429$	$5$	$36.0105448333$	$248759.2412456997$	✓		?	$C_2^{10}.C_2\wr C_5$ (as 20T846)	$[2, 52]$	$2$	$9$	$128474.772693$
20.0.433...328.1	$x^{20} + 23 x^{18} + 228 x^{16} + 1277 x^{14} + 4449 x^{12} + 9995 x^{10} + 14495 x^{8} + 13146 x^{6} + 6875 x^{4} + 1703 x^{2} + 97$	$20$	[0,10]	$2^{20}\cdot 37^{2}\cdot 47^{2}\cdot 97\cdot 239^{2}\cdot 1571417^{2}$	$6$	$38.1827738633$		✓		✓	$C_2^{10}.S_{10}$ (as 20T1110)	$[156]$	$2$	$9$	$135507.566191$
20.0.521...625.1	$x^{20} - 10 x^{19} + 69 x^{18} - 336 x^{17} + 1320 x^{16} - 4236 x^{15} + 11537 x^{14} - 26825 x^{13} + 54035 x^{12} - 94409 x^{11} + 143761 x^{10} - 190217 x^{9} + 218312 x^{8} - 215573 x^{7} + 181526 x^{6} - 128193 x^{5} + 74327 x^{4} - 34117 x^{3} + 11742 x^{2} - 2714 x + 331$	$20$	[0,10]	$3^{4}\cdot 5^{10}\cdot 2251^{2}\cdot 23459^{2}\cdot 23622721$	$5$	$38.534013764$	$136789601.70320088$	✓		✓	$C_2^{10}.S_5\wr C_2$ (as 20T1045)	$[104]$	$2$	$9$	$229888.891421$
20.0.569...000.1	$x^{20} + 17 x^{18} + 124 x^{16} + 502 x^{14} + 1230 x^{12} + 1858 x^{10} + 1721 x^{8} + 833 x^{6} + 554 x^{4} - 1560 x^{2} + 7921$	$20$	[0,10]	$2^{20}\cdot 5^{10}\cdot 11^{18}$	$3$	$38.7051196621$	$38.70511966206675$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[124]$	$2$	$9$	$281202.490766$
20.0.569...000.3	$x^{20} - 5 x^{18} + 25 x^{16} - 125 x^{14} + 625 x^{12} - 3125 x^{10} + 15625 x^{8} - 78125 x^{6} + 390625 x^{4} - 1953125 x^{2} + 9765625$	$20$	[0,10]	$2^{20}\cdot 5^{10}\cdot 11^{18}$	$3$	$38.7051196621$	$38.70511966206675$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[2, 62]$	$22$	$9$	$5592263.44664$
20.0.927...681.3	$x^{20} - 8 x^{19} + 27 x^{18} - 52 x^{17} + 132 x^{16} - 452 x^{15} + 1108 x^{14} - 1974 x^{13} + 4254 x^{12} - 9042 x^{11} + 17084 x^{10} - 27764 x^{9} + 50255 x^{8} - 71930 x^{7} + 123807 x^{6} - 139074 x^{5} + 238062 x^{4} - 158880 x^{3} + 351000 x^{2} - 96318 x + 278653$	$20$	[0,10]	$3^{10}\cdot 7^{10}\cdot 11^{18}$	$3$	$39.6609455568$	$39.66094555677728$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[330]$	$2$	$9$	$125582.779517$
20.0.112...576.1	$x^{20} + 44 x^{18} + 546 x^{16} + 2906 x^{14} + 7573 x^{12} + 10341 x^{10} + 7573 x^{8} + 2906 x^{6} + 546 x^{4} + 44 x^{2} + 1$	$20$	[0,10]	$2^{20}\cdot 401^{10}$	$2$	$40.049968789$	$40.049968789001575$	✓	✓		$D_{10}$ (as 20T4)	$[5, 50]$	$4$	$9$	$795087.603907$
20.0.119...968.1	$x^{20} + 24 x^{18} + 250 x^{16} + 1481 x^{14} + 5491 x^{12} + 13208 x^{10} + 20658 x^{8} + 20459 x^{6} + 12048 x^{4} + 3708 x^{2} + 433$	$20$	[0,10]	$2^{20}\cdot 433\cdot 460181^{2}\cdot 1114969^{2}$	$4$	$40.1673830701$		✓		✓	$C_2^{10}.S_{10}$ (as 20T1110)	$[340]$	$2$	$9$	$114785.123876$
20.0.126...625.3	$x^{20} - 8 x^{19} + 21 x^{18} - 57 x^{16} - 166 x^{15} + 1385 x^{14} - 3815 x^{13} + 8065 x^{12} - 16253 x^{11} + 38496 x^{10} - 88398 x^{9} + 203504 x^{8} - 392889 x^{7} + 695944 x^{6} - 1005043 x^{5} + 1343738 x^{4} - 1372952 x^{3} + 1330894 x^{2} - 768615 x + 512579$	$20$	[0,10]	$5^{10}\cdot 7^{10}\cdot 11^{16}$	$3$	$40.2854454641$	$40.28544546409263$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[5, 55]$	$2$	$9$	$140644.599182$
20.0.164...625.1	$x^{20} + 30 x^{18} + 435 x^{16} - 11 x^{15} + 3750 x^{14} - 265 x^{13} + 20825 x^{12} - 2735 x^{11} + 74975 x^{10} - 15000 x^{9} + 173240 x^{8} - 42800 x^{7} + 238320 x^{6} - 63648 x^{5} + 172800 x^{4} - 28800 x^{3} + 32000 x^{2} + 2560 x + 1024$	$20$	[0,10]	$5^{34}\cdot 7^{10}$	$2$	$40.8129537816$	$40.812953781567856$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[4, 4, 4, 4]$	$2$	$9$	$161406.837641$
20.0.175...744.1	$x^{20} + 24 x^{18} + 247 x^{16} + 1433 x^{14} + 5173 x^{12} + 12084 x^{10} + 18387 x^{8} + 17865 x^{6} + 10523 x^{4} + 3365 x^{2} + 439$	$20$	[0,10]	$2^{20}\cdot 11^{16}\cdot 43^{2}\cdot 67^{2}\cdot 439$	$5$	$40.9469629601$		✓		✓	$C_2^{10}.C_2\wr C_5$ (as 20T846)	$[2, 200]$	$2$	$9$	$128474.772693$
20.0.211...000.1	$x^{20} + 29 x^{18} + 320 x^{16} + 1804 x^{14} + 5753 x^{12} + 10700 x^{10} + 11469 x^{8} + 6802 x^{6} + 2144 x^{4} + 330 x^{2} + 19$	$20$	[0,10]	$2^{20}\cdot 5^{10}\cdot 19^{5}\cdot 1699^{4}$	$4$	$41.3277797037$	$1136.3274176046268$	✓		?	$D_{10}\wr C_2$ (as 20T168)	$[178]$	$2$	$9$	$351148.02443$
20.0.211...176.1	$x^{20} + 24 x^{18} + 234 x^{16} + 1222 x^{14} + 3778 x^{12} + 7176 x^{10} + 8348 x^{8} + 5683 x^{6} + 2014 x^{4} + 272 x^{2} + 1$	$20$	[0,10]	$2^{20}\cdot 3^{4}\cdot 61^{2}\cdot 401^{8}$	$4$	$41.3280561764$		✓		?	$C_2^9.D_{10}$ (as 20T412)	$[120]$	$2$	$9$	$421202.997663$
20.0.211...144.1	$x^{20} + 22 x^{18} + 190 x^{16} + 841 x^{14} + 2109 x^{12} + 3114 x^{10} + 2698 x^{8} + 1310 x^{6} + 320 x^{4} + 31 x^{2} + 1$	$20$	[0,10]	$2^{20}\cdot 61^{6}\cdot 397^{6}$	$3$	$41.3300659418$		✓		?	$C_2^5:S_5$ (as 20T281)	$[2, 90]$	$2$	$9$	$390088.780581$
20.0.278...176.1	$x^{20} - 8 x^{18} + 180 x^{16} - 712 x^{14} + 7134 x^{12} - 5112 x^{10} + 15140 x^{8} - 99224 x^{6} + 227145 x^{4} - 91552 x^{2} + 12544$	$20$	[0,10]	$2^{20}\cdot 439^{10}$	$2$	$41.9046536795$	$41.90465367951393$	✓	✓		$D_{10}$ (as 20T4)	$[5, 75]$	$4$	$9$	$299443573.122$
20.0.352...856.2	$x^{20} + 38 x^{18} + 608 x^{16} + 5328 x^{14} + 27872 x^{12} + 89024 x^{10} + 170560 x^{8} + 184704 x^{6} + 99840 x^{4} + 20480 x^{2} + 1024$	$20$	[0,10]	$2^{30}\cdot 3^{10}\cdot 11^{18}$	$3$	$42.3993342597$	$42.399334259701384$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[5, 110]$	$2$	$9$	$125582.779517$
20.0.352...856.5	$x^{20} + 22 x^{18} + 308 x^{16} + 2640 x^{14} + 16544 x^{12} + 70048 x^{10} + 216832 x^{8} + 418176 x^{6} + 557568 x^{4} + 309760 x^{2} + 123904$	$20$	[0,10]	$2^{30}\cdot 3^{10}\cdot 11^{18}$	$3$	$42.3993342597$	$42.399334259701384$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[124]$	$6$	$9$	$1589230.00872$
20.0.352...856.7	$x^{20} - 2 x^{19} + x^{18} + 4 x^{17} + 66 x^{16} - 144 x^{15} + 266 x^{14} - 100 x^{13} + 1822 x^{12} - 3344 x^{11} + 10198 x^{10} - 10362 x^{9} + 36517 x^{8} - 42190 x^{7} + 138157 x^{6} - 145432 x^{5} + 383064 x^{4} - 352162 x^{3} + 765484 x^{2} - 438908 x + 652081$	$20$	[0,10]	$2^{30}\cdot 3^{10}\cdot 11^{18}$	$3$	$42.3993342597$	$42.399334259701384$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[2, 310]$	$2$	$9$	$125582.779517$
20.0.352...856.9	$x^{20} + 6 x^{18} + 36 x^{16} + 216 x^{14} + 1296 x^{12} + 7776 x^{10} + 46656 x^{8} + 279936 x^{6} + 1679616 x^{4} + 10077696 x^{2} + 60466176$	$20$	[0,10]	$2^{30}\cdot 3^{10}\cdot 11^{18}$	$3$	$42.3993342597$	$42.399334259701384$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[124]$	$22$	$9$	$10536462.3509$
20.0.374...761.1	$x^{20} - 3 x^{19} + 30 x^{18} - 49 x^{17} + 479 x^{16} - 700 x^{15} + 4546 x^{14} - 4405 x^{13} + 26875 x^{12} - 26202 x^{11} + 94832 x^{10} - 61853 x^{9} + 183245 x^{8} - 143454 x^{7} + 188321 x^{6} - 72035 x^{5} + 50332 x^{4} - 16237 x^{3} + 9324 x^{2} - 2047 x + 529$	$20$	[0,10]	$3^{10}\cdot 11^{16}\cdot 13^{10}$	$3$	$42.5252085015$	$42.52520850150444$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[110]$	$6$	$9$	$2015201.7242$
20.0.376...000.1	$x^{20} + x^{18} - 4 x^{14} + 36 x^{10} - 64 x^{6} + 256 x^{2} + 1024$	$20$	[0,10]	$2^{28}\cdot 5^{8}\cdot 7^{2}\cdot 16453^{4}$	$4$	$42.5391511214$	$2973.5989738522085$	✓			$C_2^6:S_5$ (as 20T368)	$[112]$	$4$	$9$	$114562971.97593209$
20.0.382...064.1	$x^{20} + 140 x^{16} + 2560 x^{12} + 9316 x^{8} + 8944 x^{4} + 64$	$20$	[0,10]	$2^{26}\cdot 11^{8}\cdot 113^{8}$	$3$	$42.5723325377$		✓		?	$C_2\wr A_5$ (as 20T230)	$[2, 70]$	$4$	$9$	$6459109.84372$
20.0.415...000.1	$x^{20} - 5 x^{18} - 15 x^{16} - 60 x^{15} + 90 x^{14} + 200 x^{13} + 655 x^{12} + 3020 x^{11} + 1117 x^{10} - 3050 x^{9} + 29145 x^{8} + 82980 x^{7} + 68790 x^{6} + 42730 x^{5} + 171825 x^{4} + 442940 x^{3} + 629335 x^{2} + 483750 x + 162871$	$20$	[0,10]	$2^{16}\cdot 5^{22}\cdot 7^{10}\cdot 97^{2}$	$4$	$42.7481372145$	$288.7848385446545$	✓			$C_2\wr F_5$ (as 20T140)	$[156]$	$2$	$9$	$1633832.53547$
20.0.463...944.1	$x^{20} + 22 x^{18} + 202 x^{16} + 1005 x^{14} + 2937 x^{12} + 5095 x^{10} + 5027 x^{8} + 2523 x^{6} + 519 x^{4} + 41 x^{2} + 1$	$20$	[0,10]	$2^{20}\cdot 3^{2}\cdot 271^{2}\cdot 401^{8}$	$4$	$42.9830074684$		✓		✓	$C_2^9.D_{10}$ (as 20T412)	$[3, 120]$	$2$	$9$	$651186.338761$
20.0.481...000.3	$x^{20} - 2 x^{19} - 5 x^{18} + 6 x^{17} + 79 x^{16} - 66 x^{15} + 322 x^{14} - 536 x^{13} + 3374 x^{12} - 3100 x^{11} + 19969 x^{10} - 5580 x^{9} + 93762 x^{8} - 1416 x^{7} + 311223 x^{6} + 38138 x^{5} + 714780 x^{4} + 78782 x^{3} + 1041689 x^{2} + 24970 x + 767371$	$20$	[0,10]	$2^{30}\cdot 5^{10}\cdot 11^{16}$	$3$	$43.0669527429$	$43.06695274291456$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[5, 155]$	$2$	$9$	$140644.599182$
20.0.485...000.1	$x^{20} + 25 x^{18} + 247 x^{16} + 1290 x^{14} + 3953 x^{12} + 7365 x^{10} + 8267 x^{8} + 5270 x^{6} + 1641 x^{4} + 165 x^{2} + 5$	$20$	[0,10]	$2^{36}\cdot 5^{11}\cdot 3469^{4}$	$3$	$43.085223937$		✓		?	$C_2^9.D_5\wr C_2$ (as 20T755)	$[170]$	$2$	$9$	$828338.933858$
20.0.611...504.1	$x^{20} - 3 x^{18} + 8 x^{16} - 15 x^{14} + 33 x^{12} - 44 x^{10} + 132 x^{8} - 240 x^{6} + 512 x^{4} - 768 x^{2} + 1024$	$20$	[0,10]	$2^{24}\cdot 73^{2}\cdot 137^{4}\cdot 2099^{4}$	$4$	$43.5827752802$	$18326.85417631733$	✓			$C_2^6:S_5$ (as 20T368)	$[2, 80]$	$4$	$9$	$132888971.1492566$
20.0.625...000.1	$x^{20} + 40 x^{18} + 680 x^{16} + 6400 x^{14} + 36400 x^{12} + 128096 x^{10} + 273920 x^{8} + 333440 x^{6} + 198400 x^{4} + 38400 x^{2} + 1024$	$20$	[0,10]	$2^{30}\cdot 5^{34}$	$2$	$43.6308828551$	$43.63088285510481$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[451]$	$2$	$9$	$161406.837641$
20.0.689...424.1	$x^{20} - 2 x^{18} + x^{16} - 16 x^{14} + 32 x^{12} - 12 x^{10} + 128 x^{8} - 256 x^{6} + 64 x^{4} - 512 x^{2} + 1024$	$20$	[0,10]	$2^{24}\cdot 103^{2}\cdot 249517^{4}$	$3$	$43.8469859555$	$12774.444093305472$	✓			$C_2^6:S_5$ (as 20T368)	$[2, 68]$	$4$	$9$	$122736814.34315576$
20.0.706...408.1	$x^{20} - 8 x^{19} + 48 x^{18} - 194 x^{17} + 657 x^{16} - 1808 x^{15} + 4398 x^{14} - 9430 x^{13} + 18493 x^{12} - 33000 x^{11} + 56352 x^{10} - 91110 x^{9} + 153485 x^{8} - 242326 x^{7} + 407778 x^{6} - 515444 x^{5} + 857558 x^{4} - 668326 x^{3} + 1079706 x^{2} - 137098 x + 8641$	$20$	[0,10]	$2^{30}\cdot 3^{15}\cdot 71^{9}$	$3$	$43.8987537813$	$298.8948611725355$	✓		?	$C_{10}\wr C_2$ (as 20T53)	$[2, 82]$	$2$	$9$	$528205.092142$
20.0.733...816.1	$x^{20} - 3 x^{18} + 18 x^{16} + 184 x^{14} + 15 x^{12} + 441 x^{10} + 1587 x^{8} - 5372 x^{6} + 5879 x^{4} - 2750 x^{2} + 625$	$20$	[0,10]	$2^{20}\cdot 31^{18}$	$2$	$43.9800298831$	$43.98002988309907$	✓	✓		$C_2\times C_{10}$ (as 20T3)	$[123]$	$4$	$9$	$95285261.3293$
20.0.819...176.1	$x^{20} - 14 x^{18} + 167 x^{16} - 780 x^{14} + 2015 x^{12} + 11490 x^{10} - 72343 x^{8} + 144184 x^{6} - 155888 x^{4} + 61440 x^{2} + 147456$	$20$	[0,10]	$2^{20}\cdot 3^{10}\cdot 163^{10}$	$3$	$44.226688775$	$44.22668877499196$		✓		$D_{10}$ (as 20T4)	$[11, 22]$	$4$	$9$	$1141791581.42$
20.0.819...176.2	$x^{20} - 234 x^{16} - 1208 x^{14} + 14355 x^{12} + 160128 x^{10} + 603766 x^{8} + 1060704 x^{6} + 977697 x^{4} + 835704 x^{2} + 352836$	$20$	[0,10]	$2^{20}\cdot 3^{10}\cdot 163^{10}$	$3$	$44.226688775$	$44.22668877499196$		✓		$D_{10}$ (as 20T4)	$[11, 22]$	$6$	$9$	$231426336.202$
20.0.819...176.3	$x^{20} - 18 x^{18} + 83 x^{16} - 12 x^{14} + 357 x^{12} - 3306 x^{10} + 2885 x^{8} + 36816 x^{6} - 21389 x^{4} - 274590 x^{2} + 622521$	$20$	[0,10]	$2^{20}\cdot 3^{10}\cdot 163^{10}$	$3$	$44.226688775$	$44.22668877499196$		✓		$D_{10}$ (as 20T4)	$[11, 22]$	$2$	$9$	$2636356.57032$
20.0.100...000.1	$x^{20} - 2 x^{19} + 27 x^{18} - 50 x^{17} + 249 x^{16} - 570 x^{15} + 1254 x^{14} - 3934 x^{13} + 6887 x^{12} - 13648 x^{11} + 30841 x^{10} - 44850 x^{9} + 78071 x^{8} - 119082 x^{7} + 145974 x^{6} - 178652 x^{5} + 172159 x^{4} - 56358 x^{3} + 212471 x^{2} + 51356 x + 99301$	$20$	[0,10]	$2^{16}\cdot 5^{15}\cdot 3469^{5}$	$3$	$44.6789105502$	$342.8890763365301$	✓			$D_5^2:C_4$ (as 20T94)	$[2, 4, 36]$	$2$	$9$	$828338.933858$
20.0.105...125.1	$x^{20} + 9 x^{18} - 20 x^{17} + 75 x^{16} - 180 x^{15} + 861 x^{14} - 2865 x^{13} + 7959 x^{12} - 15010 x^{11} + 22236 x^{10} - 24435 x^{9} + 23095 x^{8} - 18390 x^{7} + 16869 x^{6} - 13500 x^{5} + 12456 x^{4} - 9315 x^{3} + 7560 x^{2} - 4050 x + 2025$	$20$	[0,10]	$3^{16}\cdot 5^{15}\cdot 73^{8}$	$3$	$44.7974868935$	$210.4186389707704$	✓		?	$C_4\times A_5$ (as 20T63)	$[2, 68]$	$10$	$9$	$6959926.34763$
20.0.106...125.1	$x^{20} + 22 x^{18} - 8 x^{17} + 207 x^{16} - 159 x^{15} + 1229 x^{14} - 1352 x^{13} + 5527 x^{12} - 6687 x^{11} + 19563 x^{10} - 26099 x^{9} + 61052 x^{8} - 84787 x^{7} + 142519 x^{6} - 138535 x^{5} + 133978 x^{4} - 34522 x^{3} - 24228 x^{2} + 24879 x + 22171$	$20$	[0,10]	$5^{15}\cdot 19^{5}\cdot 1699^{5}$	$3$	$44.8192152608$	$600.7599786173789$	✓		?	$D_5^2:C_4$ (as 20T94)	$[6, 60]$	$2$	$9$	$351148.02443$
20.0.126...000.1	$x^{20} - 5 x^{19} + 29 x^{18} - 99 x^{17} + 350 x^{16} - 953 x^{15} + 2527 x^{14} - 5606 x^{13} + 11829 x^{12} - 20902 x^{11} + 35258 x^{10} - 48172 x^{9} + 69054 x^{8} - 82765 x^{7} + 123756 x^{6} - 157517 x^{5} + 218213 x^{4} - 212875 x^{3} + 178015 x^{2} - 76246 x + 23209$	$20$	[0,10]	$2^{4}\cdot 5^{10}\cdot 52501^{4}\cdot 1063649$	$4$	$45.1922988047$	$1056812.529723224$	✓		?	$C_2^8.D_{10}\wr C_2$ (as 20T876)	$[218]$	$2$	$9$	$740007.387786$
20.0.130...000.1	$x^{20} + 37 x^{18} + 545 x^{16} + 4213 x^{14} + 19106 x^{12} + 53478 x^{10} + 93622 x^{8} + 100350 x^{6} + 61380 x^{4} + 17908 x^{2} + 1331$	$20$	[0,10]	$2^{20}\cdot 5^{10}\cdot 11^{5}\cdot 28162171^{2}$	$4$	$45.2720105611$		✓		?	$S_5^2:D_4$ (as 20T781)	$[2, 450]$	$2$	$9$	$170321.970246$
20.0.131...704.1	$x^{20} + 29 x^{18} + 329 x^{16} + 1917 x^{14} + 6286 x^{12} + 11958 x^{10} + 13162 x^{8} + 8124 x^{6} + 2583 x^{4} + 335 x^{2} + 4$	$20$	[0,10]	$2^{32}\cdot 83^{6}\cdot 983^{4}$	$3$	$45.2774671696$		✓		?	$C_2^9.C_2^5.S_5$ (as 20T994)	$[2, 86]$	$2$	$9$	$4321782.83094$
20.0.131...000.1	$x^{20} - 10 x^{19} + 59 x^{18} - 216 x^{17} + 521 x^{16} - 808 x^{15} + 894 x^{14} - 1546 x^{13} + 4905 x^{12} - 8670 x^{11} + 5177 x^{10} + 7432 x^{9} - 18513 x^{8} - 19136 x^{7} + 21318 x^{6} - 30316 x^{5} + 268819 x^{4} + 16550 x^{3} + 337065 x^{2} + 37050 x + 94025$	$20$	[0,10]	$2^{28}\cdot 5^{10}\cdot 3469^{5}$	$3$	$45.2874712208$	$347.5594857905193$	✓		?	$D_5^2:C_2^2$ (as 20T92)	$[198]$	$2$	$9$	$828338.933858$
20.0.136...936.1	$x^{20} - 5 x^{19} + 16 x^{18} + 3 x^{17} + 57 x^{16} - 202 x^{15} + 43 x^{14} - 817 x^{13} + 2557 x^{12} - 1698 x^{11} - 1837 x^{10} + 5343 x^{9} - 4748 x^{8} - 3541 x^{7} + 14483 x^{6} - 5772 x^{5} + 6580 x^{4} + 6848 x^{3} + 192 x^{2} - 2048 x + 1024$	$20$	[0,10]	$2^{16}\cdot 3^{2}\cdot 41^{2}\cdot 53^{14}$	$4$	$45.3740574298$	$435.7018997811219$	✓			$C_2\wr F_5$ (as 20T140)	$[120]$	$2$	$9$	$7826958.70528$
20.0.137...904.1	$x^{20} + 14 x^{18} + 135 x^{16} + 660 x^{14} + 2317 x^{12} + 4630 x^{10} + 6589 x^{8} + 4340 x^{6} + 2019 x^{4} + 46 x^{2} + 1$	$20$	[0,10]	$2^{12}\cdot 3^{10}\cdot 11^{8}\cdot 113^{8}$	$4$	$45.3907204724$	$449.51381278510456$	✓		?	$C_2\wr A_5$ (as 20T230)	$[6, 18]$	$6$	$9$	$6459109.84372$
20.0.146...000.1	$x^{20} + 2 x^{18} + 9 x^{16} + 16 x^{14} + 48 x^{12} + 84 x^{10} + 192 x^{8} + 256 x^{6} + 576 x^{4} + 512 x^{2} + 1024$	$20$	[0,10]	$2^{24}\cdot 5^{4}\cdot 31^{2}\cdot 109751^{4}$	$4$	$45.5247806837$	$10393.059644292836$	✓			$C_2^6:S_5$ (as 20T368)	$[247]$	$4$	$9$	$206231798.70573014$
20.0.146...125.1	$x^{20} - 3 x^{19} + 13 x^{18} - 45 x^{17} + 181 x^{16} - 277 x^{15} + 1527 x^{14} - 1917 x^{13} + 6069 x^{12} - 8567 x^{11} + 22087 x^{10} + 8548 x^{9} + 131627 x^{8} + 225444 x^{7} + 530121 x^{6} + 803419 x^{5} + 996120 x^{4} + 1044920 x^{3} + 674906 x^{2} + 243078 x + 96739$	$20$	[0,10]	$5^{15}\cdot 6029^{6}$	$2$	$45.5303604408$	$2991.6202680014994$	✓		?	$C_4\times C_2^4:S_5$ (as 20T369)	$[2, 212]$	$2$	$9$	$341439.528105$
20.0.164...944.1	$x^{20} + 43 x^{18} + 793 x^{16} + 8183 x^{14} + 51657 x^{12} + 204599 x^{10} + 500105 x^{8} + 707959 x^{6} + 500105 x^{4} + 119415 x^{2} + 4489$	$20$	[0,10]	$2^{20}\cdot 7^{10}\cdot 11^{18}$	$3$	$45.796515187$	$45.79651518704091$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[124]$	$4$	$9$	$1415140.16249$
20.0.164...944.3	$x^{20} - 10 x^{19} + 43 x^{18} - 102 x^{17} + 208 x^{16} - 644 x^{15} + 1932 x^{14} - 3886 x^{13} + 6858 x^{12} - 15070 x^{11} + 32440 x^{10} - 52602 x^{9} + 84390 x^{8} - 144344 x^{7} + 228417 x^{6} - 279504 x^{5} + 404164 x^{4} - 466344 x^{3} + 532837 x^{2} - 328784 x + 558097$	$20$	[0,10]	$2^{20}\cdot 7^{10}\cdot 11^{18}$	$3$	$45.796515187$	$45.79651518704091$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[2, 310]$	$2$	$9$	$281202.490766$
20.0.164...944.4	$x^{20} + 7 x^{18} + 49 x^{16} + 343 x^{14} + 2401 x^{12} + 16807 x^{10} + 117649 x^{8} + 823543 x^{6} + 5764801 x^{4} + 40353607 x^{2} + 282475249$	$20$	[0,10]	$2^{20}\cdot 7^{10}\cdot 11^{18}$	$3$	$45.796515187$	$45.79651518704091$	✓	✓	?	$C_2\times C_{10}$ (as 20T3)	$[124]$	$22$	$9$	$8013735.51231$
20.0.165...848.1	$x^{20} + 36 x^{18} + 498 x^{16} + 3416 x^{14} + 12736 x^{12} + 26944 x^{10} + 32408 x^{8} + 21280 x^{6} + 6960 x^{4} + 960 x^{2} + 32$	$20$	[0,10]	$2^{55}\cdot 11^{16}$	$2$	$45.8085596133$	$45.80855961331325$	✓	✓	?	$C_{20}$ (as 20T1)	$[521]$	$2$	$9$	$530208.250733$