Number field search results

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

Results (1-50 of 91 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
20.18.132...111.1	$x^{20} - 10 x^{19} + 31 x^{18} + 6 x^{17} - 216 x^{16} + 300 x^{15} + 412 x^{14} - 1198 x^{13} + 62 x^{12} + 1890 x^{11} - 1091 x^{10} - 1327 x^{9} + 1343 x^{8} + 298 x^{7} - 689 x^{6} + 74 x^{5} + 166 x^{4} - 35 x^{3} - 20 x^{2} + 3 x + 1$	$20$	[18,1]	$-\,37\cdot 6043\cdot 769611580061^{2}$	$3$	$28.5824778291$	$414823122.30325234$			✓	$C_2^{10}.S_{10}$ (as 20T1110)	trivial	$2$	$18$	$65248006.7767$
20.18.316...391.1	$x^{20} - 10 x^{19} + 29 x^{18} + 24 x^{17} - 261 x^{16} + 252 x^{15} + 775 x^{14} - 1471 x^{13} - 832 x^{12} + 3315 x^{11} - 450 x^{10} - 3795 x^{9} + 2072 x^{8} + 2203 x^{7} - 2246 x^{6} - 562 x^{5} + 1187 x^{4} + 86 x^{3} - 275 x^{2} - 42 x + 1$	$20$	[18,1]	$-\,661^{2}\cdot 38569^{4}\cdot 326951$	$3$	$29.8532731878$	$2887096.193696878$			?	$C_2^{10}.C_2\wr S_5$ (as 20T1015)	trivial	$2$	$18$	$100648686.8$
20.18.470...000.1	$x^{20} - 19 x^{18} + 136 x^{16} - 447 x^{14} + 624 x^{12} - 88 x^{10} - 640 x^{8} + 641 x^{6} - 240 x^{4} + 34 x^{2} - 1$	$20$	[18,1]	$-\,2^{20}\cdot 5^{10}\cdot 11^{16}$	$3$	$30.4529343296$				?	$C_2^{10}.C_{10}$ (as 20T409)	trivial	$2$	$18$	$135663686.713$
20.18.570...671.1	$x^{20} - 10 x^{19} + 31 x^{18} + 6 x^{17} - 216 x^{16} + 300 x^{15} + 415 x^{14} - 1219 x^{13} + 93 x^{12} + 1977 x^{11} - 1342 x^{10} - 1370 x^{9} + 1914 x^{8} + 87 x^{7} - 1224 x^{6} + 379 x^{5} + 367 x^{4} - 172 x^{3} - 38 x^{2} + 21 x - 1$	$20$	[18,1]	$-\,3^{4}\cdot 19^{4}\cdot 37^{2}\cdot 2617^{4}\cdot 842279$	$5$	$30.7488364635$	$2156096.217145005$			✓	$C_2^{10}.C_2\wr S_5$ (as 20T1015)	trivial	$2$	$18$	$143887194.48$
20.18.610...000.1	$x^{20} - 5 x^{18} - 25 x^{16} + 255 x^{14} - 825 x^{12} + 1374 x^{10} - 1285 x^{8} + 675 x^{6} - 190 x^{4} + 25 x^{2} - 1$	$20$	[18,1]	$-\,2^{20}\cdot 5^{34}$	$2$	$30.851693136$				✓	$C_2^{10}.C_{10}$ (as 20T409)	trivial	$2$	$18$	$139534392.406$
20.18.921...859.1	$x^{20} - 10 x^{19} + 32 x^{18} - 3 x^{17} - 192 x^{16} + 312 x^{15} + 259 x^{14} - 1051 x^{13} + 364 x^{12} + 1365 x^{11} - 1319 x^{10} - 594 x^{9} + 1391 x^{8} - 239 x^{7} - 691 x^{6} + 293 x^{5} + 183 x^{4} - 77 x^{3} - 28 x^{2} + 4 x + 1$	$20$	[18,1]	$-\,37^{2}\cdot 47^{2}\cdot 101\cdot 239^{2}\cdot 21391\cdot 1571417^{2}$	$6$	$31.4939052148$	$1187874872.8862202$			✓	$C_2^{10}.S_{10}$ (as 20T1110)	trivial	$2$	$18$	$170246790.396$
20.18.134...000.1	$x^{20} - 14 x^{18} + 77 x^{16} - 204 x^{14} + 232 x^{12} + 44 x^{10} - 386 x^{8} + 379 x^{6} - 154 x^{4} + 25 x^{2} - 1$	$20$	[18,1]	$-\,2^{20}\cdot 5^{10}\cdot 5471^{2}\cdot 66191^{2}$	$4$	$32.0923532191$				?	$C_2^{10}.S_5\wr C_2$ (as 20T1045)	trivial	$2$	$18$	$251763431.763$
20.18.158...616.1	$x^{20} - 16 x^{18} + 95 x^{16} - 240 x^{14} + 116 x^{12} + 658 x^{10} - 1438 x^{8} + 1227 x^{6} - 468 x^{4} + 65 x^{2} - 1$	$20$	[18,1]	$-\,2^{20}\cdot 11^{16}\cdot 5741^{2}$	$3$	$32.3625622247$				?	$C_2^{10}.C_2\wr C_5$ (as 20T846)	trivial	$2$	$18$	$252437097.912$
20.18.165...375.1	$x^{20} - 10 x^{19} + 31 x^{18} + 6 x^{17} - 216 x^{16} + 300 x^{15} + 414 x^{14} - 1212 x^{13} + 84 x^{12} + 1940 x^{11} - 1247 x^{10} - 1339 x^{9} + 1675 x^{8} + 164 x^{7} - 990 x^{6} + 245 x^{5} + 280 x^{4} - 102 x^{3} - 33 x^{2} + 9 x + 1$	$20$	[18,1]	$-\,5^{10}\cdot 1017319\cdot 408486641^{2}$	$3$	$32.4321429638$	$45582958.5007094$			✓	$C_2^{10}.S_5\wr C_2$ (as 20T1045)	trivial	$2$	$18$	$279872309.706$
20.18.195...856.1	$x^{20} - 16 x^{18} + 91 x^{16} - 204 x^{14} + 41 x^{12} + 562 x^{10} - 946 x^{8} + 642 x^{6} - 195 x^{4} + 24 x^{2} - 1$	$20$	[18,1]	$-\,2^{40}\cdot 36497^{4}$	$2$	$32.697264828$				?	$C_2^9.C_2^5.S_5$ (as 20T992)	trivial	$2$	$18$	$268566235.814$
20.18.195...856.2	$x^{20} - 20 x^{18} + 171 x^{16} - 816 x^{14} + 2379 x^{12} - 4356 x^{10} + 4949 x^{8} - 3304 x^{6} + 1140 x^{4} - 144 x^{2} - 1$	$20$	[18,1]	$-\,2^{40}\cdot 36497^{4}$	$2$	$32.697264828$				✓	$C_2^9.C_2^5.S_5$ (as 20T992)	trivial	$2$	$18$	$266635241.915$
20.18.261...496.1	$x^{20} - 15 x^{18} + 86 x^{16} - 222 x^{14} + 158 x^{12} + 468 x^{10} - 1211 x^{8} + 1137 x^{6} - 474 x^{4} + 72 x^{2} - 1$	$20$	[18,1]	$-\,2^{20}\cdot 11^{16}\cdot 7369^{2}$	$3$	$33.180658401$				?	$C_2^{10}.C_2\wr C_5$ (as 20T846)	trivial	$2$	$18$	$313694053.017$
20.18.337...944.1	$x^{20} - 25 x^{18} + 196 x^{16} - 727 x^{14} + 1429 x^{12} - 1469 x^{10} + 631 x^{8} + 83 x^{6} - 156 x^{4} + 37 x^{2} - 1$	$20$	[18,1]	$-\,2^{10}\cdot 38569^{6}$	$2$	$33.6036545517$	$752.2545201444624$			?	$C_2^4.C_{3618}$ (as 20T808)	trivial	$2$	$18$	$412920102.381$
20.18.337...944.2	$x^{20} - 19 x^{18} + 136 x^{16} - 447 x^{14} + 580 x^{12} + 236 x^{10} - 1302 x^{8} + 1046 x^{6} - 312 x^{4} + 33 x^{2} - 1$	$20$	[18,1]	$-\,2^{10}\cdot 38569^{6}$	$2$	$33.6036545517$	$752.2545201444624$			?	$C_2^4.C_{3618}$ (as 20T808)	trivial	$2$	$18$	$365530179.321$
20.18.486...000.1	$x^{20} - 18 x^{18} + 130 x^{16} - 474 x^{14} + 873 x^{12} - 558 x^{10} - 629 x^{8} + 1349 x^{6} - 893 x^{4} + 236 x^{2} - 16$	$20$	[18,1]	$-\,2^{16}\cdot 5^{10}\cdot 52501^{4}$	$3$	$34.2249256871$					$C_2^8.D_{10}\wr C_2$ (as 20T876)	trivial	$2$	$18$	$704261360.761$
20.18.486...000.2	$x^{20} - 19 x^{18} + 124 x^{16} - 189 x^{14} - 1489 x^{12} + 8215 x^{10} - 16848 x^{8} + 15489 x^{6} - 5721 x^{4} + 604 x^{2} - 16$	$20$	[18,1]	$-\,2^{16}\cdot 5^{10}\cdot 52501^{4}$	$3$	$34.2249256871$				?	$C_2^8.D_{10}\wr C_2$ (as 20T876)	trivial	$2$	$18$	$568108975.945$
20.18.845...000.1	$x^{20} - 15 x^{18} + 70 x^{16} - 35 x^{14} - 720 x^{12} + 2599 x^{10} - 4075 x^{8} + 3255 x^{6} - 1275 x^{4} + 195 x^{2} - 1$	$20$	[18,1]	$-\,2^{20}\cdot 5^{14}\cdot 6029^{4}$	$3$	$35.1850405171$				?	$C_2^8.(D_4\times S_5)$ (as 20T887)	trivial	$2$	$18$	$596348858.868$
20.18.845...000.2	$x^{20} - 15 x^{18} + 84 x^{16} - 197 x^{14} + 46 x^{12} + 685 x^{10} - 1355 x^{8} + 1056 x^{6} - 333 x^{4} + 34 x^{2} - 1$	$20$	[18,1]	$-\,2^{20}\cdot 5^{14}\cdot 6029^{4}$	$3$	$35.1850405171$				?	$C_2^8.(D_4\times S_5)$ (as 20T887)	trivial	$2$	$18$	$814376445.824$
20.18.402...000.1	$x^{20} - 15 x^{18} + 67 x^{16} + 17 x^{14} - 954 x^{12} + 2868 x^{10} - 3604 x^{8} + 2016 x^{6} - 464 x^{4} + 40 x^{2} - 1$	$20$	[18,1]	$-\,2^{20}\cdot 5^{10}\cdot 211^{8}$	$3$	$38.0389026566$				?	$C_2^{10}.(C_5\times D_5)$ (as 20T647)	trivial	$2$	$18$	$1378321774.25$
20.18.402...000.2	$x^{20} - 14 x^{18} + 74 x^{16} - 170 x^{14} + 75 x^{12} + 429 x^{10} - 918 x^{8} + 770 x^{6} - 275 x^{4} + 30 x^{2} - 1$	$20$	[18,1]	$-\,2^{20}\cdot 5^{10}\cdot 211^{8}$	$3$	$38.0389026566$				✓	$C_2^{10}.(C_5\times D_5)$ (as 20T647)	trivial	$2$	$18$	$1428191504.34$
20.18.590...000.1	$x^{20} - 15 x^{18} + 75 x^{16} - 90 x^{14} - 405 x^{12} + 1481 x^{10} - 1875 x^{8} + 1100 x^{6} - 305 x^{4} + 35 x^{2} - 1$	$20$	[18,1]	$-\,2^{32}\cdot 5^{22}\cdot 7^{8}$	$3$	$38.7752149356$				?	$C_2^{10}.F_5$ (as 20T513)	trivial	$2$	$18$	$1901808285.94$
20.18.957...000.1	$x^{20} - 25 x^{18} + 181 x^{16} - 462 x^{14} - 11 x^{12} + 1929 x^{10} - 3269 x^{8} + 2330 x^{6} - 785 x^{4} + 115 x^{2} - 5$	$20$	[18,1]	$-\,2^{28}\cdot 5^{15}\cdot 43^{8}$	$3$	$39.724357293$				?	$C_2^{10}.F_5$ (as 20T513)	trivial	$2$	$18$	$4186903487.02$
20.18.110...584.1	$x^{20} - 14 x^{18} + 73 x^{16} - 165 x^{14} + 91 x^{12} + 282 x^{10} - 570 x^{8} + 420 x^{6} - 138 x^{4} + 20 x^{2} - 1$	$20$	[18,1]	$-\,2^{20}\cdot 397^{2}\cdot 401^{8}$	$3$	$40.0098382272$				?	$C_2^{10}.C_2\wr D_5$ (as 20T905)	trivial	$2$	$18$	$2077620080.2$
20.18.112...576.1	$x^{20} - 16 x^{18} + 85 x^{16} - 107 x^{14} - 588 x^{12} + 2563 x^{10} - 4254 x^{8} + 3481 x^{6} - 1369 x^{4} + 206 x^{2} - 1$	$20$	[18,1]	$-\,2^{20}\cdot 401^{10}$	$2$	$40.049968789$					$C_2^9.D_{10}$ (as 20T423)	trivial	$2$	$18$	$2960876748.74$
20.18.163...375.1	$x^{20} - 8 x^{19} + 3 x^{18} + 121 x^{17} - 246 x^{16} - 638 x^{15} + 2315 x^{14} + 1292 x^{13} - 10548 x^{12} - 804 x^{11} + 27547 x^{10} + 2633 x^{9} - 40347 x^{8} - 11191 x^{7} + 28572 x^{6} + 12631 x^{5} - 7548 x^{4} - 4002 x^{3} + 635 x^{2} + 320 x - 29$	$20$	[18,1]	$-\,3^{8}\cdot 5^{10}\cdot 239^{9}$	$3$	$40.7955281017$	$235.42037938326197$			?	$C_2^{10}.D_{10}$ (as 20T525)	trivial	$2$	$18$	$3731575983.23$
20.18.211...176.1	$x^{20} - 21 x^{18} + 162 x^{16} - 626 x^{14} + 1336 x^{12} - 1593 x^{10} + 995 x^{8} - 254 x^{6} - 15 x^{4} + 15 x^{2} - 1$	$20$	[18,1]	$-\,2^{20}\cdot 3^{4}\cdot 61^{2}\cdot 401^{8}$	$4$	$41.3280561764$				?	$C_2^{10}.C_2\wr D_5$ (as 20T905)	trivial	$2$	$18$	$3289458160.96$
20.18.115...000.1	$x^{20} - 16 x^{18} + 9 x^{16} + 1175 x^{14} - 8820 x^{12} + 28288 x^{10} - 45494 x^{8} + 36516 x^{6} - 13830 x^{4} + 2253 x^{2} - 125$	$20$	[18,1]	$-\,2^{16}\cdot 5^{5}\cdot 17^{8}\cdot 73^{8}$	$4$	$44.9857753578$	$894.0152604270045$			?	$C_2^{10}.C_2^4:A_5$ (as 20T968)	trivial	$2$	$18$	$16647479471.5$
20.18.116...504.1	$x^{20} - 22 x^{18} + 202 x^{16} - 1003 x^{14} + 2913 x^{12} - 4982 x^{10} + 4761 x^{8} - 2190 x^{6} + 308 x^{4} - 3 x^{2} - 1$	$20$	[18,1]	$-\,2^{26}\cdot 1429^{8}$	$2$	$45.0144435433$					$C_2^6.C_2^8:D_5$ (as 20T849)	trivial	$2$	$18$	$66161603592.5$
20.18.138...000.1	$x^{20} - 30 x^{18} + 320 x^{16} - 1640 x^{14} + 4540 x^{12} - 7056 x^{10} + 6040 x^{8} - 2560 x^{6} + 320 x^{4} + 80 x^{2} - 16$	$20$	[18,1]	$-\,2^{28}\cdot 5^{20}\cdot 7^{8}\cdot 97^{2}$	$4$	$45.4075832342$	$852.0466975700097$			?	$C_2^{10}.C_2\wr F_5$ (as 20T946)	trivial	$2$	$18$	$34881914106.5$
20.18.152...256.1	$x^{20} - 32 x^{18} + 397 x^{16} - 2513 x^{14} + 8896 x^{12} - 18053 x^{10} + 20368 x^{8} - 11083 x^{6} + 1263 x^{4} + 761 x^{2} - 1$	$20$	[18,1]	$-\,2^{28}\cdot 11^{8}\cdot 113^{8}$	$3$	$45.6278962522$				?	$C_2^{10}.C_2^4:A_5$ (as 20T968)	trivial	$2$	$18$	$17712474940.5$
20.18.155...456.1	$x^{20} - 24 x^{18} + 231 x^{16} - 1137 x^{14} + 3006 x^{12} - 4005 x^{10} + 1858 x^{8} + 933 x^{6} - 959 x^{4} + 93 x^{2} - 1$	$20$	[18,1]	$-\,2^{20}\cdot 33769^{6}$	$2$	$45.6652096336$	$13592.050943434893$			?	$C_2^{10}.C_2^4:S_5$ (as 20T991)	trivial	$2$	$18$	$10091106801.7$
20.18.257...744.1	$x^{20} - 42 x^{18} + 618 x^{16} - 3789 x^{14} + 8961 x^{12} - 1682 x^{10} - 20616 x^{8} + 23886 x^{6} - 9370 x^{4} + 1235 x^{2} - 19$	$20$	[18,1]	$-\,2^{10}\cdot 19^{11}\cdot 43^{10}$	$3$	$46.8342646966$	$218.89239362918195$			?	$C_2^9.D_{10}$ (as 20T423)	trivial	$2$	$18$	$14601304531.4$
20.18.280...000.1	$x^{20} - 19 x^{18} + 148 x^{16} - 606 x^{14} + 1380 x^{12} - 1665 x^{10} + 814 x^{8} + 142 x^{6} - 234 x^{4} + 45 x^{2} - 1$	$20$	[18,1]	$-\,2^{20}\cdot 5^{14}\cdot 11^{4}\cdot 2339^{4}$	$4$	$47.0320143937$				?	$C_2^{10}.\SOPlus(4,4)$ (as 20T1023)	trivial	$2$	$18$	$19083485035.1$
20.18.391...000.1	$x^{20} - 19 x^{18} + 149 x^{16} - 622 x^{14} + 1482 x^{12} - 1986 x^{10} + 1316 x^{8} - 198 x^{6} - 179 x^{4} + 65 x^{2} - 5$	$20$	[18,1]	$-\,2^{32}\cdot 5^{11}\cdot 13^{4}\cdot 29^{4}\cdot 31^{4}$	$5$	$47.821379966$				?	$C_2^{10}.\PGOPlus(4,5)$ (as 20T1036)	trivial	$2$	$18$	$24972834150.9$
20.18.684...000.1	$x^{20} - 17 x^{18} + 75 x^{16} + 149 x^{14} - 2101 x^{12} + 6967 x^{10} - 11647 x^{8} + 10815 x^{6} - 5413 x^{4} + 1251 x^{2} - 81$	$20$	[18,1]	$-\,2^{20}\cdot 5^{10}\cdot 401^{8}$	$3$	$49.1782133679$					$C_2^{10}.D_{10}$ (as 20T525)	trivial	$2$	$18$	$35424546669.6$
20.18.737...744.1	$x^{20} - 33 x^{18} + 385 x^{16} - 1930 x^{14} + 4349 x^{12} - 4215 x^{10} + 871 x^{8} + 1026 x^{6} - 513 x^{4} + 43 x^{2} - 1$	$20$	[18,1]	$-\,2^{28}\cdot 13^{14}\cdot 17^{8}$	$3$	$49.3607680985$				?	$C_2^{10}.S_5$ (as 20T803)	trivial	$2$	$18$	$27419605395.8$
20.18.841...000.1	$x^{20} - 45 x^{18} + 780 x^{16} - 6720 x^{14} + 31575 x^{12} - 83559 x^{10} + 123340 x^{8} - 96640 x^{6} + 35500 x^{4} - 3880 x^{2} - 388$	$20$	[18,1]	$-\,2^{24}\cdot 5^{20}\cdot 7^{8}\cdot 97^{3}$	$4$	$49.6890822287$					$C_2^{10}.C_2\wr F_5$ (as 20T946)	trivial	$2$	$18$	$184405410267$
20.18.919...504.1	$x^{20} - 45 x^{18} + 639 x^{16} - 3014 x^{14} + 4891 x^{12} - 385 x^{10} - 5102 x^{8} + 4425 x^{6} - 1477 x^{4} + 203 x^{2} - 9$	$20$	[18,1]	$-\,2^{10}\cdot 17^{4}\cdot 401^{10}$	$3$	$49.908781675$	$1415.2343359951828$				$C_2^9.C_2\wr D_5$ (as 20T852)	trivial	$2$	$18$	$34595361415.1$
20.18.919...504.2	$x^{20} - 40 x^{18} + 531 x^{16} - 3442 x^{14} + 12429 x^{12} - 26045 x^{10} + 31129 x^{8} - 19494 x^{6} + 5072 x^{4} - 171 x^{2} - 1$	$20$	[18,1]	$-\,2^{10}\cdot 17^{4}\cdot 401^{10}$	$3$	$49.908781675$	$1415.2343359951828$			?	$C_2^9.C_2\wr D_5$ (as 20T852)	trivial	$2$	$18$	$28534506060.8$
20.18.945...584.1	$x^{20} - 20 x^{18} + 92 x^{16} + 306 x^{14} - 3210 x^{12} + 7964 x^{10} - 8983 x^{8} + 5298 x^{6} - 1673 x^{4} + 264 x^{2} - 16$	$20$	[18,1]	$-\,2^{46}\cdot 7^{8}\cdot 13^{12}$	$3$	$49.9774642781$				?	$C_{54}^2.C_2$ (as 20T633)	trivial	$2$	$18$	$39278838693.0$
20.18.141...176.1	$x^{20} - 26 x^{18} + 221 x^{16} - 676 x^{14} - 841 x^{12} + 12122 x^{10} - 38070 x^{8} + 61118 x^{6} - 54233 x^{4} + 24884 x^{2} - 4489$	$20$	[18,1]	$-\,2^{40}\cdot 11^{16}\cdot 23^{4}$	$3$	$50.9940736252$				?	$C_2^5.C_2^8:C_{10}$ (as 20T749)	trivial	$2$	$18$	$33678010618.6$
20.18.141...176.2	$x^{20} - 26 x^{18} + 254 x^{16} - 1204 x^{14} + 2954 x^{12} - 3696 x^{10} + 2047 x^{8} - 174 x^{6} - 212 x^{4} + 46 x^{2} - 1$	$20$	[18,1]	$-\,2^{40}\cdot 11^{16}\cdot 23^{4}$	$3$	$50.9940736252$				?	$C_2^5.C_2^8:C_{10}$ (as 20T749)	trivial	$2$	$18$	$31070165778.1$
20.18.158...000.1	$x^{20} - 32 x^{18} + 350 x^{16} - 1763 x^{14} + 4019 x^{12} - 1163 x^{10} - 13305 x^{8} + 27140 x^{6} - 21088 x^{4} + 5888 x^{2} - 256$	$20$	[18,1]	$-\,2^{12}\cdot 5^{10}\cdot 13^{12}\cdot 19^{8}$	$4$	$51.282649095$	$188.7401563038036$			?	$C_{54}^2.C_2$ (as 20T633)	trivial	$2$	$18$	$45959571489.5$
20.18.179...296.1	$x^{20} - 29 x^{18} + 233 x^{16} - 259 x^{14} - 2999 x^{12} + 11426 x^{10} - 16017 x^{8} + 10375 x^{6} - 3129 x^{4} + 418 x^{2} - 19$	$20$	[18,1]	$-\,2^{10}\cdot 19^{9}\cdot 293^{8}$	$3$	$51.6061150668$	$571.386865171515$			?	$C_2^4.C_{6496}$ (as 20T693)	trivial	$2$	$18$	$31026518729.9$
20.18.186...064.1	$x^{20} - 30 x^{18} + 243 x^{16} + 34 x^{14} - 9743 x^{12} + 53452 x^{10} - 128712 x^{8} + 151512 x^{6} - 81648 x^{4} + 16000 x^{2} - 256$	$20$	[18,1]	$-\,2^{30}\cdot 1429^{8}$	$2$	$51.7080172493$					$C_2^6.C_2^8:D_5$ (as 20T849)	trivial	$2$	$18$	$101537747464$
20.18.195...528.1	$x^{20} - 4 x^{19} - 12 x^{18} + 61 x^{17} + 51 x^{16} - 390 x^{15} - 66 x^{14} + 1357 x^{13} - 152 x^{12} - 2790 x^{11} + 638 x^{10} + 3442 x^{9} - 872 x^{8} - 2470 x^{7} + 533 x^{6} + 948 x^{5} - 123 x^{4} - 166 x^{3} + x^{2} + 10 x + 1$	$20$	[18,1]	$-\,2^{4}\cdot 7\cdot 2069\cdot 135002711\cdot 624953320648889659991$	$5$	$51.8272814752$	$6.086229107213316e+16$			✓	$S_{20}$ (as 20T1117)	trivial	$2$	$18$	$71401385648.9$
20.18.205...256.1	$x^{20} - 46 x^{18} - 24 x^{17} + 806 x^{16} + 808 x^{15} - 6638 x^{14} - 9536 x^{13} + 25770 x^{12} + 49224 x^{11} - 41946 x^{10} - 120040 x^{9} + 13068 x^{8} + 139896 x^{7} + 20782 x^{6} - 76720 x^{5} - 12407 x^{4} + 16520 x^{3} + 2080 x^{2} - 992 x - 62$	$20$	[18,1]	$-\,2^{48}\cdot 31^{7}\cdot 227^{4}$	$3$	$51.9581589135$					$C_2^{10}.A_5^2:C_4$ (as 20T1037)	trivial	$2$	$18$	$296328893050$
20.18.301...936.1	$x^{20} - 10 x^{19} + 25 x^{18} + 60 x^{17} - 344 x^{16} + 100 x^{15} + 1598 x^{14} - 1716 x^{13} - 3649 x^{12} + 5878 x^{11} + 4355 x^{10} - 9868 x^{9} - 2384 x^{8} + 9024 x^{7} - 2 x^{6} - 4412 x^{5} + 632 x^{4} + 1056 x^{3} - 248 x^{2} - 96 x + 28$	$20$	[18,1]	$-\,2^{38}\cdot 23\cdot 809^{6}\cdot 17033$	$4$	$52.9654293796$	$354346.2770463237$			?	$C_2^{10}.F_5\wr C_2$ (as 20T955)	trivial	$2$	$18$	$198280616434$
20.18.389...899.1	$x^{20} - 4 x^{19} - 12 x^{18} + 59 x^{17} + 55 x^{16} - 362 x^{15} - 119 x^{14} + 1200 x^{13} + 122 x^{12} - 2332 x^{11} - 73 x^{10} + 2694 x^{9} + 113 x^{8} - 1791 x^{7} - 174 x^{6} + 630 x^{5} + 106 x^{4} - 97 x^{3} - 22 x^{2} + 4 x + 1$	$20$	[18,1]	$-\,162529\cdot 3567372786643\cdot 67222296673312217$	$3$	$53.6462828669$	$1.9742236593548634e+17$			✓	$S_{20}$ (as 20T1117)	trivial	$2$	$18$	$77319166223.2$
20.18.112...488.1	$x^{20} - 10 x^{19} + 23 x^{18} + 78 x^{17} - 381 x^{16} - 12 x^{15} + 2076 x^{14} - 1674 x^{13} - 5685 x^{12} + 7148 x^{11} + 8643 x^{10} - 14016 x^{9} - 7190 x^{8} + 14846 x^{7} + 2604 x^{6} - 8524 x^{5} + 333 x^{4} + 2492 x^{3} - 464 x^{2} - 288 x + 81$	$20$	[18,1]	$-\,2^{20}\cdot 3^{10}\cdot 23^{4}\cdot 421\cdot 1451^{4}\cdot 3467$	$6$	$56.5563625192$	$2572472.7602197067$			?	$C_2^{10}.\PGOPlus(4,5)$ (as 20T1036)	trivial	$2$	$18$	$245620475404$