Note: Search results may be incomplete due to uncomputed quantities: Class number (201181 objects)
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| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 20.0.157...081.1 | $x^{20} - x^{19} + 171 x^{18} - 143 x^{17} + 12284 x^{16} - 8280 x^{15} + 482266 x^{14} - 250426 x^{13} + 11285118 x^{12} - 4273190 x^{11} + 161154278 x^{10} - 40434767 x^{9} + 1379811834 x^{8} - 141689449 x^{7} + 6648619519 x^{6} + 1132845777 x^{5} + 15843284090 x^{4} + 12510065557 x^{3} + 12656771613 x^{2} + 23245166096 x + 44266141261$ | $3^{10}\cdot 11^{18}\cdot 37^{10}$ | $C_2\times C_{10}$ (as 20T3) | $[4, 282736]$ |
| 20.0.282...125.1 | $x^{20} - x^{19} + 86 x^{18} - 132 x^{17} + 3679 x^{16} - 6964 x^{15} + 101401 x^{14} - 206886 x^{13} + 1971087 x^{12} - 3903468 x^{11} + 27789601 x^{10} - 49003348 x^{9} + 282578412 x^{8} - 411643979 x^{7} + 2023763270 x^{6} - 2240309653 x^{5} + 9866835796 x^{4} - 7175480378 x^{3} + 29810100332 x^{2} - 10396170396 x + 43048528051$ | $5^{15}\cdot 11^{16}\cdot 17^{10}$ | $C_{20}$ (as 20T1) | $[1040722]$ |
| 20.0.344...000.21 | $x^{20} + 190 x^{18} + 15200 x^{16} + 666000 x^{14} + 17420000 x^{12} + 278200000 x^{10} + 2665000000 x^{8} + 14430000000 x^{6} + 39000000000 x^{4} + 40000000000 x^{2} + 10000000000$ | $2^{30}\cdot 3^{10}\cdot 5^{10}\cdot 11^{18}$ | $C_2\times C_{10}$ (as 20T3) | $[2, 1211460]$ |
| 20.0.344...000.23 | $x^{20} - 10 x^{19} + 167 x^{18} - 1218 x^{17} + 11313 x^{16} - 64188 x^{15} + 419322 x^{14} - 1902132 x^{13} + 9461145 x^{12} - 34625998 x^{11} + 135278353 x^{10} - 397588862 x^{9} + 1230518499 x^{8} - 2851812468 x^{7} + 6947616282 x^{6} - 12219263196 x^{5} + 23152394787 x^{4} - 28627012626 x^{3} + 42002721191 x^{2} - 29346150362 x + 48162813931$ | $2^{30}\cdot 3^{10}\cdot 5^{10}\cdot 11^{18}$ | $C_2\times C_{10}$ (as 20T3) | $[2, 2, 367288]$ |
| 20.0.344...000.24 | $x^{20} - 2 x^{19} + 81 x^{18} - 140 x^{17} + 3338 x^{16} - 5136 x^{15} + 89802 x^{14} - 123108 x^{13} + 1723054 x^{12} - 2091920 x^{11} + 24460118 x^{10} - 25909114 x^{9} + 258929781 x^{8} - 232860430 x^{7} + 2012905741 x^{6} - 1464272744 x^{5} + 10981722576 x^{4} - 5857664802 x^{3} + 37904480108 x^{2} - 11369175884 x + 62528029201$ | $2^{30}\cdot 3^{10}\cdot 5^{10}\cdot 11^{18}$ | $C_2\times C_{10}$ (as 20T3) | $[2, 2, 459110]$ |
| 20.0.365...625.8 | $x^{20} - 8 x^{19} + 101 x^{18} - 576 x^{17} + 4535 x^{16} - 21030 x^{15} + 129865 x^{14} - 511863 x^{13} + 2652441 x^{12} - 8957981 x^{11} + 39843720 x^{10} - 114345518 x^{9} + 438995984 x^{8} - 1046061945 x^{7} + 3446562112 x^{6} - 6502554995 x^{5} + 18098949794 x^{4} - 24494214376 x^{3} + 56142388702 x^{2} - 41930249223 x + 76208864731$ | $3^{10}\cdot 5^{10}\cdot 11^{16}\cdot 13^{10}$ | $C_2\times C_{10}$ (as 20T3) | $[5, 361240]$ |
| 20.0.440...169.3 | $x^{20} - x^{19} + 190 x^{18} - 159 x^{17} + 15169 x^{16} - 10240 x^{15} + 662001 x^{14} - 344561 x^{13} + 17222530 x^{12} - 6541139 x^{11} + 273442709 x^{10} - 68935889 x^{9} + 2603211910 x^{8} - 275733141 x^{7} + 13956163931 x^{6} + 2210211840 x^{5} + 37048706299 x^{4} + 27761073661 x^{3} + 33729031070 x^{2} + 58008735439 x + 106391301391$ | $3^{10}\cdot 11^{18}\cdot 41^{10}$ | $C_2\times C_{10}$ (as 20T3) | $[1340130]$ |
| 20.0.445...125.1 | $x^{20} + 160 x^{18} + 10880 x^{16} - 361 x^{15} + 409600 x^{14} - 43320 x^{13} + 9318400 x^{12} - 2079360 x^{11} + 131366161 x^{10} - 50828800 x^{9} + 1137644880 x^{8} - 665395200 x^{7} + 5901800640 x^{6} - 4542160121 x^{5} + 18016281600 x^{4} - 16076932840 x^{3} + 30122086400 x^{2} - 33981478720 x + 43704064801$ | $3^{10}\cdot 5^{35}\cdot 11^{10}$ | $C_{20}$ (as 20T1) | $[2, 2, 341722]$ |
| 20.0.473...625.6 | $x^{20} - 10 x^{19} + 125 x^{18} - 840 x^{17} + 6350 x^{16} - 33050 x^{15} + 188095 x^{14} - 798615 x^{13} + 3689530 x^{12} - 13040835 x^{11} + 50563722 x^{10} - 149057585 x^{9} + 492237900 x^{8} - 1191982015 x^{7} + 3364246225 x^{6} - 6431451625 x^{5} + 15431468120 x^{4} - 21255032915 x^{3} + 42774415730 x^{2} - 32795293410 x + 54172578001$ | $3^{10}\cdot 5^{34}\cdot 13^{10}$ | $C_2\times C_{10}$ (as 20T3) | $[2018840]$ |
| 20.0.709...681.2 | $x^{20} - 8 x^{19} + 117 x^{18} - 700 x^{17} + 6081 x^{16} - 29252 x^{15} + 190108 x^{14} - 756930 x^{13} + 4000056 x^{12} - 13292070 x^{11} + 59471534 x^{10} - 163790990 x^{9} + 634653809 x^{8} - 1414117766 x^{7} + 4813931163 x^{6} - 8243468934 x^{5} + 24929394483 x^{4} - 29434190142 x^{3} + 80029391166 x^{2} - 49040556030 x + 121882104697$ | $3^{10}\cdot 11^{18}\cdot 43^{10}$ | $C_2\times C_{10}$ (as 20T3) | $[2, 4, 4, 20, 3660]$ |
| 20.0.969...625.3 | $x^{20} - 8 x^{19} + 111 x^{18} - 648 x^{17} + 5514 x^{16} - 26230 x^{15} + 172889 x^{14} - 697337 x^{13} + 3828520 x^{12} - 13199759 x^{11} + 61975866 x^{10} - 181154943 x^{9} + 733164737 x^{8} - 1774890291 x^{7} + 6169036807 x^{6} - 11793282781 x^{5} + 34734256499 x^{4} - 47487519227 x^{3} + 115845571171 x^{2} - 87034245171 x + 169930201079$ | $5^{10}\cdot 11^{16}\cdot 43^{10}$ | $C_2\times C_{10}$ (as 20T3) | $[4, 20, 20, 1540]$ |
| 20.0.119...768.1 | $x^{20} + 168 x^{18} + 11277 x^{16} + 397532 x^{14} + 8089180 x^{12} + 98149160 x^{10} + 709808115 x^{8} + 2994937638 x^{6} + 7062713024 x^{4} + 8447581138 x^{2} + 3939040643$ | $2^{36}\cdot 83^{9}\cdot 983^{4}$ | $C_4^4.(C_2^2\times S_5)$ (as 20T807) | $[2, 2, 4, 122668]$ |
| 20.0.125...625.1 | $x^{20} - 10 x^{19} + 135 x^{18} - 930 x^{17} + 7515 x^{16} - 40330 x^{15} + 243935 x^{14} - 1069245 x^{13} + 5230695 x^{12} - 19075585 x^{11} + 78129934 x^{10} - 237254320 x^{9} + 826391495 x^{8} - 2056465185 x^{7} + 6117729630 x^{6} - 11980324785 x^{5} + 30304858095 x^{4} - 42585255340 x^{3} + 90457721015 x^{2} - 70408087320 x + 123003528649$ | $5^{34}\cdot 43^{10}$ | $C_2\times C_{10}$ (as 20T3) | $[4, 4, 4, 35588]$ |
| 20.0.160...000.6 | $x^{20} - 10 x^{19} + 113 x^{18} - 732 x^{17} + 5115 x^{16} - 25620 x^{15} + 136388 x^{14} - 557978 x^{13} + 2430720 x^{12} - 8305814 x^{11} + 30565866 x^{10} - 87461308 x^{9} + 275855648 x^{8} - 651765860 x^{7} + 1768870593 x^{6} - 3320524362 x^{5} + 7729934861 x^{4} - 10547164366 x^{3} + 20850916755 x^{2} - 16042910010 x + 26717460001$ | $2^{20}\cdot 5^{10}\cdot 7^{10}\cdot 11^{18}$ | $C_2\times C_{10}$ (as 20T3) | $[2, 22, 27610]$ |
| 20.0.160...000.9 | $x^{20} - 10 x^{19} + 189 x^{18} - 1416 x^{17} + 14679 x^{16} - 86628 x^{15} + 626716 x^{14} - 2976898 x^{13} + 16319348 x^{12} - 62765934 x^{11} + 269460830 x^{10} - 833653436 x^{9} + 2830018544 x^{8} - 6903574292 x^{7} + 18430542913 x^{6} - 34050121102 x^{5} + 70607861373 x^{4} - 91142019246 x^{3} + 146193237687 x^{2} - 105352883318 x + 180439414849$ | $2^{20}\cdot 5^{10}\cdot 7^{10}\cdot 11^{18}$ | $C_2\times C_{10}$ (as 20T3) | $[2, 2, 684728]$ |
| 20.0.190...808.3 | $x^{20} + 131 x^{18} + 6605 x^{16} + 169089 x^{14} + 2450289 x^{12} + 21160224 x^{10} + 110717501 x^{8} + 344994955 x^{6} + 598243775 x^{4} + 480924366 x^{2} + 90111457$ | $2^{20}\cdot 61^{9}\cdot 397^{7}$ | $C_2^9.S_5$ (as 20T674) | $[2, 2, 2, 125556]$ |
| 20.0.233...125.1 | $x^{20} - x^{19} + 111 x^{18} - 167 x^{17} + 5949 x^{16} - 11044 x^{15} + 200941 x^{14} - 406236 x^{13} + 4703832 x^{12} - 9377568 x^{11} + 78907466 x^{10} - 142439068 x^{9} + 948074777 x^{8} - 1434111949 x^{7} + 7982392620 x^{6} - 9291183528 x^{5} + 45302317311 x^{4} - 35276815488 x^{3} + 157681514772 x^{2} - 60274636071 x + 258891665341$ | $3^{10}\cdot 5^{15}\cdot 7^{10}\cdot 11^{16}$ | $C_{20}$ (as 20T1) | $[2, 1558442]$ |
| 20.0.291...000.2 | $x^{20} - 4 x^{19} + 90 x^{18} - 304 x^{17} + 3530 x^{16} - 10164 x^{15} + 75234 x^{14} - 182040 x^{13} + 886294 x^{12} - 1738516 x^{11} + 5226170 x^{10} - 7761452 x^{9} + 15872079 x^{8} - 20356532 x^{7} + 111075844 x^{6} - 147284512 x^{5} + 246924546 x^{4} - 191903184 x^{3} + 580187432 x^{2} - 317690032 x + 654850801$ | $2^{40}\cdot 3^{10}\cdot 5^{10}\cdot 11^{16}$ | $C_2\times C_{10}$ (as 20T3) | $[10, 102610]$ |
| 20.0.306...625.1 | $x^{20} - 10 x^{19} + 145 x^{18} - 1020 x^{17} + 8770 x^{16} - 48330 x^{15} + 309415 x^{14} - 1394755 x^{13} + 7198300 x^{12} - 26988435 x^{11} + 116371456 x^{10} - 362840905 x^{9} + 1328806310 x^{8} - 3388327335 x^{7} + 10592693335 x^{6} - 21196340165 x^{5} + 56364337770 x^{4} - 80639732115 x^{3} + 180301322200 x^{2} - 142233499330 x + 262135950049$ | $5^{34}\cdot 47^{10}$ | $C_2\times C_{10}$ (as 20T3) | $[3905275]$ |
| 20.0.648...000.4 | $x^{20} - 2 x^{19} + 105 x^{18} - 192 x^{17} + 5601 x^{16} - 8954 x^{15} + 196958 x^{14} - 266010 x^{13} + 4979818 x^{12} - 5492826 x^{11} + 93261249 x^{10} - 80363506 x^{9} + 1294117823 x^{8} - 818308334 x^{7} + 13002301543 x^{6} - 5511867932 x^{5} + 89758244598 x^{4} - 22085242938 x^{3} + 381913016562 x^{2} - 40054162896 x + 757112259541$ | $2^{20}\cdot 5^{10}\cdot 11^{16}\cdot 13^{10}$ | $C_2\times C_{10}$ (as 20T3) | $[5, 968440]$ |
| 20.0.841...000.4 | $x^{20} + 110 x^{18} + 5955 x^{16} - 2 x^{15} + 205640 x^{14} + 160 x^{13} + 4975165 x^{12} + 9830 x^{11} + 87672445 x^{10} + 236110 x^{9} + 1136139650 x^{8} + 2562310 x^{7} + 10673029575 x^{6} + 3591456 x^{5} + 69517358130 x^{4} - 198685110 x^{3} + 283651665155 x^{2} - 1551975480 x + 551416888049$ | $2^{20}\cdot 5^{34}\cdot 13^{10}$ | $C_2\times C_{10}$ (as 20T3) | $[6368888]$ |
| 20.0.136...000.6 | $x^{20} - 6 x^{19} + 67 x^{18} - 302 x^{17} + 2435 x^{16} - 9340 x^{15} + 63172 x^{14} - 207826 x^{13} + 1225192 x^{12} - 3434802 x^{11} + 18238950 x^{10} - 42959640 x^{9} + 208321354 x^{8} - 399713644 x^{7} + 1768558421 x^{6} - 2620416334 x^{5} + 10452990189 x^{4} - 10764612716 x^{3} + 37784285875 x^{2} - 20527319894 x + 61511627759$ | $2^{30}\cdot 5^{10}\cdot 7^{10}\cdot 11^{16}$ | $C_2\times C_{10}$ (as 20T3) | $[2, 681010]$ |
| 20.0.136...000.7 | $x^{20} - 2 x^{19} + 115 x^{18} - 210 x^{17} + 6643 x^{16} - 10626 x^{15} + 250786 x^{14} - 339872 x^{13} + 6764726 x^{12} - 7510492 x^{11} + 134567521 x^{10} - 117207804 x^{9} + 1977453966 x^{8} - 1271790984 x^{7} + 20997115047 x^{6} - 9132285094 x^{5} + 152974017624 x^{4} - 39041186866 x^{3} + 686231001401 x^{2} - 75540326030 x + 1432950026551$ | $2^{30}\cdot 5^{10}\cdot 7^{10}\cdot 11^{16}$ | $C_2\times C_{10}$ (as 20T3) | $[11, 544808]$ |
| 20.0.284...416.2 | $x^{20} + 149 x^{18} + 8425 x^{16} + 237791 x^{14} + 3704764 x^{12} + 33008653 x^{10} + 167863861 x^{8} + 472407352 x^{6} + 675239869 x^{4} + 385277403 x^{2} + 20151121$ | $2^{20}\cdot 67^{8}\cdot 401^{8}$ | $C_2^4.C_2\wr D_5$ (as 20T324) | $[2, 2, 4, 68380]$ |
| 20.0.298...392.1 | $x^{20} + 143 x^{18} + 7865 x^{16} + 211926 x^{14} + 3007862 x^{12} + 23369489 x^{10} + 103144756 x^{8} + 259191075 x^{6} + 352499862 x^{4} + 224632265 x^{2} + 44926453$ | $2^{20}\cdot 11^{18}\cdot 13^{15}$ | $C_{20}$ (as 20T1) | $[2, 863050]$ |
| 20.0.657...321.1 | $x^{20} - 8 x^{19} + 41 x^{18} - 146 x^{17} + 680 x^{16} - 2698 x^{15} + 12405 x^{14} - 43261 x^{13} + 170951 x^{12} - 525211 x^{11} + 1843943 x^{10} - 4738723 x^{9} + 14408932 x^{8} - 30276269 x^{7} + 80897637 x^{6} - 135622022 x^{5} + 312788154 x^{4} - 389384970 x^{3} + 748934741 x^{2} - 556910277 x + 785567709$ | $19^{10}\cdot 41^{18}$ | $C_2\times C_{10}$ (as 20T3) | $[11, 173525]$ |
| 20.0.758...584.1 | $x^{20} + 61 x^{18} + 1518 x^{16} + 20116 x^{14} + 172707 x^{12} + 1240037 x^{10} + 6798195 x^{8} + 23177780 x^{6} + 141458339 x^{4} + 81975726 x^{2} + 707506801$ | $2^{20}\cdot 11^{16}\cdot 1583^{6}$ | $C_2^5:C_{10}$ (as 20T72) | $[2, 2, 275448]$ |
| 20.0.910...096.1 | $x^{20} + 119 x^{18} + 5581 x^{16} + 133234 x^{14} + 1772003 x^{12} + 13702829 x^{10} + 62678706 x^{8} + 169004257 x^{6} + 259211212 x^{4} + 205503678 x^{2} + 64481201$ | $2^{20}\cdot 67^{4}\cdot 401^{11}$ | $C_2^8.D_{10}$ (as 20T307) | $[2, 2, 2, 181746]$ |
| 20.0.910...096.2 | $x^{20} + 119 x^{18} + 5581 x^{16} + 133234 x^{14} + 1772003 x^{12} + 13702829 x^{10} + 62678706 x^{8} + 169004257 x^{6} + 259211212 x^{4} + 205503678 x^{2} + 64481201$ | $2^{20}\cdot 67^{4}\cdot 401^{11}$ | $C_2^8.D_{10}$ (as 20T307) | $[2, 2, 2, 181746]$ |
| 20.0.948...000.2 | $x^{20} - 6 x^{19} + 7 x^{18} + 22 x^{17} + 398 x^{16} - 2164 x^{15} + 7336 x^{14} - 15442 x^{13} + 99688 x^{12} - 300174 x^{11} + 1595106 x^{10} - 3565206 x^{9} + 17149330 x^{8} - 32155744 x^{7} + 155208869 x^{6} - 234163102 x^{5} + 1025221284 x^{4} - 1123862306 x^{3} + 4154165587 x^{2} - 2548342424 x + 7273808849$ | $2^{20}\cdot 5^{10}\cdot 11^{16}\cdot 17^{10}$ | $C_2\times C_{10}$ (as 20T3) | $[10, 198710]$ |
| 20.0.109...000.1 | $x^{20} + 103 x^{18} + 4075 x^{16} + 81286 x^{14} + 881785 x^{12} + 5146456 x^{10} + 14712760 x^{8} + 16100059 x^{6} + 5678089 x^{4} + 442026 x^{2} + 81$ | $2^{20}\cdot 5^{10}\cdot 41^{18}$ | $C_2\times C_{10}$ (as 20T3) | $[2, 2561680]$ |
| 20.0.109...000.4 | $x^{20} - 2 x^{19} + 15 x^{18} - 28 x^{17} + 390 x^{16} - 584 x^{15} + 6781 x^{14} - 8202 x^{13} + 94062 x^{12} - 80862 x^{11} + 1031934 x^{10} - 807582 x^{9} + 9013852 x^{8} - 6208538 x^{7} + 58673502 x^{6} - 30342304 x^{5} + 261654120 x^{4} - 73298264 x^{3} + 727173193 x^{2} - 42959304 x + 940204701$ | $2^{20}\cdot 5^{10}\cdot 41^{18}$ | $C_2\times C_{10}$ (as 20T3) | $[22, 22, 4510]$ |
| 20.0.154...184.1 | $x^{20} + 44 x^{18} + 1182 x^{16} + 24673 x^{14} + 325841 x^{12} + 2563022 x^{10} + 14598022 x^{8} + 63506762 x^{6} + 226542508 x^{4} + 339042913 x^{2} + 442302961$ | $2^{20}\cdot 11^{16}\cdot 1783^{6}$ | $C_2^5:C_{10}$ (as 20T72) | $[2, 6, 119952]$ |
| 20.0.206...656.1 | $x^{20} + 40 x^{18} + 894 x^{16} + 12489 x^{14} + 125877 x^{12} + 944838 x^{10} + 5478894 x^{8} + 24249274 x^{6} + 78875256 x^{4} + 174704389 x^{2} + 207676921$ | $2^{20}\cdot 11^{16}\cdot 1871^{6}$ | $C_2^5:C_{10}$ (as 20T72) | $[2, 2, 310368]$ |
| 20.0.253...625.1 | $x^{20} - x^{19} + 145 x^{18} - 146 x^{17} + 8025 x^{16} - 8172 x^{15} + 216784 x^{14} - 225104 x^{13} + 3027292 x^{12} - 3113921 x^{11} + 21468861 x^{10} - 17477774 x^{9} + 59475307 x^{8} + 20117476 x^{7} - 87440612 x^{6} + 527395272 x^{5} + 104284815 x^{4} + 248531503 x^{3} + 2035349497 x^{2} + 1091380322 x + 3942396001$ | $3^{10}\cdot 5^{10}\cdot 41^{19}$ | $C_{20}$ (as 20T1) | $[2, 2, 2, 2, 2, 2, 32644]$ |
| 20.0.326...237.1 | $x^{20} - x^{19} - 57 x^{18} + 135 x^{17} + 1263 x^{16} - 4296 x^{15} - 11039 x^{14} + 63644 x^{13} + 6036 x^{12} - 475614 x^{11} + 882024 x^{10} + 62094 x^{9} - 2500979 x^{8} + 5280269 x^{7} - 5545938 x^{6} - 7998318 x^{5} + 32100489 x^{4} - 22614228 x^{3} + 12269070 x^{2} - 5019165 x + 4782969$ | $13^{15}\cdot 41^{16}$ | $C_{20}$ (as 20T1) | $[1421461]$ |
| 20.0.352...000.3 | $x^{20} + 168 x^{18} + 11889 x^{16} + 461268 x^{14} + 10700100 x^{12} + 151861392 x^{10} + 1295855091 x^{8} + 6266008692 x^{6} + 15157215639 x^{4} + 14062322520 x^{2} + 31236921$ | $2^{40}\cdot 3^{10}\cdot 5^{10}\cdot 11^{18}$ | $C_2\times C_{10}$ (as 20T3) | $[2, 2, 410440]$ |
| 20.0.352...000.7 | $x^{20} + 220 x^{18} + 18425 x^{16} + 742500 x^{14} + 15290000 x^{12} + 165550000 x^{10} + 988796875 x^{8} + 3289687500 x^{6} + 5813671875 x^{4} + 4726562500 x^{2} + 1181640625$ | $2^{40}\cdot 3^{10}\cdot 5^{10}\cdot 11^{18}$ | $C_2\times C_{10}$ (as 20T3) | $[2, 2, 1084092]$ |
| 20.0.352...000.11 | $x^{20} + 20 x^{18} + 565 x^{16} + 29472 x^{14} + 869610 x^{12} + 15155944 x^{10} + 170472586 x^{8} + 1270626240 x^{6} + 6120549669 x^{4} + 17367927780 x^{2} + 22163170129$ | $2^{40}\cdot 3^{10}\cdot 5^{10}\cdot 11^{18}$ | $C_2\times C_{10}$ (as 20T3) | $[2, 2, 1198220]$ |
| 20.0.352...000.14 | $x^{20} + 156 x^{18} + 10553 x^{16} + 405952 x^{14} + 9791644 x^{12} + 154173744 x^{10} + 1603780627 x^{8} + 10980160088 x^{6} + 49164416095 x^{4} + 147156696660 x^{2} + 328492898449$ | $2^{40}\cdot 3^{10}\cdot 5^{10}\cdot 11^{18}$ | $C_2\times C_{10}$ (as 20T3) | $[2, 4, 1072244]$ |
| 20.0.444...129.1 | $x^{20} - 8 x^{19} + 51 x^{18} - 218 x^{17} + 1139 x^{16} - 4578 x^{15} + 22149 x^{14} - 79515 x^{13} + 337750 x^{12} - 1065569 x^{11} + 3997785 x^{10} - 10651910 x^{9} + 34877966 x^{8} - 76179063 x^{7} + 218588868 x^{6} - 377902854 x^{5} + 937985122 x^{4} - 1187336885 x^{3} + 2471905719 x^{2} - 1824170168 x + 2887254431$ | $23^{10}\cdot 41^{18}$ | $C_2\times C_{10}$ (as 20T3) | $[5466120]$ |
| 20.0.679...896.6 | $x^{20} - 2 x^{19} + 25 x^{18} - 46 x^{17} + 642 x^{16} - 984 x^{15} + 12613 x^{14} - 15754 x^{13} + 194491 x^{12} - 183046 x^{11} + 2357049 x^{10} - 1871806 x^{9} + 22384915 x^{8} - 15048766 x^{7} + 158723365 x^{6} - 80367708 x^{5} + 778323534 x^{4} - 227128042 x^{3} + 2373376453 x^{2} - 201978206 x + 3376968271$ | $2^{30}\cdot 3^{10}\cdot 41^{18}$ | $C_2\times C_{10}$ (as 20T3) | $[2, 2, 4, 4, 4, 15252]$ |
| 20.0.784...000.3 | $x^{20} - 6 x^{19} - 33 x^{18} + 238 x^{17} + 890 x^{16} - 6260 x^{15} - 8888 x^{14} + 80734 x^{13} + 112792 x^{12} - 866142 x^{11} + 64610 x^{10} + 3714770 x^{9} + 8810954 x^{8} - 33816384 x^{7} + 58532261 x^{6} - 43081774 x^{5} + 827188384 x^{4} - 1045516946 x^{3} + 3440960115 x^{2} - 2632174544 x + 15777305149$ | $2^{20}\cdot 3^{10}\cdot 5^{10}\cdot 7^{10}\cdot 11^{16}$ | $C_2\times C_{10}$ (as 20T3) | $[2, 530420]$ |
| 20.0.784...000.4 | $x^{20} - 6 x^{19} - 3 x^{18} + 76 x^{17} + 461 x^{16} - 2900 x^{15} + 5128 x^{14} - 710 x^{13} + 93754 x^{12} - 363006 x^{11} + 1650224 x^{10} - 3322504 x^{9} + 18839558 x^{8} - 37103844 x^{7} + 194491745 x^{6} - 295478572 x^{5} + 1484920771 x^{4} - 1670699804 x^{3} + 7060804611 x^{2} - 4546847540 x + 16067408281$ | $2^{20}\cdot 3^{10}\cdot 5^{10}\cdot 7^{10}\cdot 11^{16}$ | $C_2\times C_{10}$ (as 20T3) | $[2, 1494820]$ |
| 20.0.784...000.5 | $x^{20} - 6 x^{19} + 57 x^{18} - 248 x^{17} + 2033 x^{16} - 7844 x^{15} + 54976 x^{14} - 181742 x^{13} + 1124878 x^{12} - 3183174 x^{11} + 18194876 x^{10} - 43438336 x^{9} + 230191550 x^{8} - 448347204 x^{7} + 2200421129 x^{6} - 3323353912 x^{5} + 14891005039 x^{4} - 15745676396 x^{3} + 62190491667 x^{2} - 35059541744 x + 116484273949$ | $2^{20}\cdot 3^{10}\cdot 5^{10}\cdot 7^{10}\cdot 11^{16}$ | $C_2\times C_{10}$ (as 20T3) | $[10, 530420]$ |
| 20.0.784...000.5 | $x^{20} - 2 x^{19} - 41 x^{18} + 84 x^{17} + 2854 x^{16} - 5792 x^{15} - 66026 x^{14} + 137844 x^{13} + 2172498 x^{12} - 4482840 x^{11} - 26650514 x^{10} + 57316392 x^{9} + 498877289 x^{8} - 985657428 x^{7} - 2332001357 x^{6} + 5958300606 x^{5} + 25037292164 x^{4} - 91720108968 x^{3} + 103548492952 x^{2} - 40033619716 x + 165766539709$ | $2^{20}\cdot 5^{10}\cdot 11^{18}\cdot 13^{10}$ | $C_2\times C_{10}$ (as 20T3) | $[10, 156200]$ |
| 20.0.101...344.3 | $x^{20} + 108 x^{18} + 4533 x^{16} + 97918 x^{14} + 1207868 x^{12} + 8811908 x^{10} + 37646333 x^{8} + 89405526 x^{6} + 107347793 x^{4} + 59550806 x^{2} + 11675889$ | $2^{20}\cdot 67^{6}\cdot 401^{10}$ | $C_2^4.C_2\wr D_5$ (as 20T354) | $[2, 2, 2, 157964]$ |
| 20.0.101...344.5 | $x^{20} + 143 x^{18} + 8166 x^{16} + 241081 x^{14} + 4024336 x^{12} + 39512284 x^{10} + 232247443 x^{8} + 811942825 x^{6} + 1625992845 x^{4} + 1704899219 x^{2} + 721835689$ | $2^{20}\cdot 67^{6}\cdot 401^{10}$ | $C_2^5.C_2^8:D_5$ (as 20T746) | $[2, 2, 2, 2, 378014]$ |
| 20.0.162...000.3 | $x^{20} + 80 x^{18} - 30 x^{17} + 2340 x^{16} - 2402 x^{15} + 21815 x^{14} - 59420 x^{13} + 54730 x^{12} + 168920 x^{11} - 750365 x^{10} + 10598860 x^{9} + 8465225 x^{8} - 20546060 x^{7} + 96564720 x^{6} + 66057816 x^{5} + 744271155 x^{4} - 262818330 x^{3} + 1399553075 x^{2} - 352395330 x + 456344399$ | $2^{30}\cdot 5^{34}\cdot 11^{10}$ | $C_2\times C_{10}$ (as 20T3) | $[6408744]$ |
| 20.0.162...000.4 | $x^{20} - 10 x^{19} - 5 x^{18} + 330 x^{17} - 505 x^{16} - 4732 x^{15} + 18170 x^{14} - 11740 x^{13} - 24075 x^{12} - 40670 x^{11} + 770797 x^{10} - 2859690 x^{9} + 11425605 x^{8} - 30140740 x^{7} + 77738210 x^{6} - 138059956 x^{5} + 274410255 x^{4} - 349010210 x^{3} + 530072515 x^{2} - 374283550 x + 512312849$ | $2^{30}\cdot 5^{34}\cdot 11^{10}$ | $C_2\times C_{10}$ (as 20T3) | $[10, 112830]$ |