Number field search results

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

Results (1-50 of 514 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
18.0.184...727.1	$x^{18} - 7 x^{17} - 74 x^{16} + 408 x^{15} + 2558 x^{14} - 8242 x^{13} - 39184 x^{12} + 84268 x^{11} + 374289 x^{10} - 488799 x^{9} - 1668350 x^{8} + 2701876 x^{7} + 6853576 x^{6} - 8927584 x^{5} + 2280064 x^{4} + 44681728 x^{3} + 24702976 x^{2} - 40402944 x + 165412864$	$18$	[0,9]	$-\,7^{9}\cdot 127^{16}$	$2$	$196.153820789$	$196.15382078895908$	✓	✓		$C_{18}$ (as 18T1)	$[9, 11861703]$	$2$	$8$	$16450307908.665707$
18.0.396...216.1	$x^{18} - 9 x^{17} + 521 x^{16} - 2814 x^{15} + 101712 x^{14} - 273354 x^{13} + 9930737 x^{12} - 4915819 x^{11} + 542574306 x^{10} + 675680245 x^{9} + 17329976899 x^{8} + 41353096938 x^{7} + 318706023622 x^{6} + 865142724388 x^{5} + 3020376551570 x^{4} + 6566549151730 x^{3} + 12083146048786 x^{2} + 2900073393380 x + 24315241393928$	$18$	[0,9]	$-\,2^{18}\cdot 13^{2}\cdot 193^{6}\cdot 229^{9}$	$4$	$232.579620079$	$4165.8165834561905$	✓			$C_2\times A_4^3:S_4$ (as 18T769)	$[2, 2, 2, 12, 2131164]$	$2$	$8$	$708923.533235$
18.0.412...872.1	$x^{18} + 546 x^{16} + 97461 x^{14} + 7758660 x^{12} + 321369048 x^{10} + 7362272736 x^{8} + 93766723596 x^{6} + 635072713821 x^{4} + 2051773383114 x^{2} + 2393735613633$	$18$	[0,9]	$-\,2^{18}\cdot 3^{27}\cdot 7^{9}\cdot 13^{15}$	$4$	$233.102550112$	$233.10255011225414$	✓	✓		$C_6 \times C_3$ (as 18T2)	$[2, 2, 2, 2, 2, 532, 6916]$	$2$	$8$	$400417.1364448253$
18.0.442...936.1	$x^{18} - 7 x^{17} + 174 x^{16} - 962 x^{15} + 13779 x^{14} - 64155 x^{13} + 676338 x^{12} - 2722651 x^{11} + 22786278 x^{10} - 79178651 x^{9} + 540532502 x^{8} - 1583274847 x^{7} + 8881121966 x^{6} - 20860733787 x^{5} + 95605863343 x^{4} - 162811998196 x^{3} + 597897722246 x^{2} - 567101046533 x + 1602731119741$	$18$	[0,9]	$-\,2^{12}\cdot 37^{14}\cdot 79^{9}$	$3$	$233.99827802$	$285.9795506797188$	✓		?	$S_3 \times C_6$ (as 18T6)	$[6, 6, 2997540]$	$2$	$8$	$615797.1340659427$
18.0.690...032.1	$x^{18} - 7 x^{17} + 183 x^{16} - 1018 x^{15} + 15239 x^{14} - 71437 x^{13} + 783481 x^{12} - 3170897 x^{11} + 27539182 x^{10} - 96044632 x^{9} + 679813833 x^{8} - 1995570269 x^{7} + 11609272935 x^{6} - 27289998619 x^{5} + 129902924239 x^{4} - 221021307185 x^{3} + 845688187315 x^{2} - 799383089986 x + 2368812673291$	$18$	[0,9]	$-\,2^{12}\cdot 37^{14}\cdot 83^{9}$	$3$	$239.849138019$	$293.13014310143666$	✓		?	$S_3 \times C_6$ (as 18T6)	$[3, 6, 8545770]$	$2$	$8$	$615797.1340659427$
18.0.105...888.1	$x^{18} - 7 x^{17} + 192 x^{16} - 1074 x^{15} + 16771 x^{14} - 79111 x^{13} + 901320 x^{12} - 3666123 x^{11} + 33000244 x^{10} - 115487055 x^{9} + 846514320 x^{8} - 2489903023 x^{7} + 15004567540 x^{6} - 35293480367 x^{5} + 174264924081 x^{4} - 296201831072 x^{3} + 1179077566010 x^{2} - 1110688906253 x + 3443926733743$	$18$	[0,9]	$-\,2^{12}\cdot 3^{9}\cdot 29^{9}\cdot 37^{14}$	$4$	$245.560631821$	$300.1104099866641$	✓		?	$S_3 \times C_6$ (as 18T6)	$[2, 2, 2, 2, 2, 12, 12, 33912]$	$2$	$8$	$615797.1340659427$
18.0.157...184.1	$x^{18} - 7 x^{17} + 201 x^{16} - 1130 x^{15} + 18375 x^{14} - 87177 x^{13} + 1030359 x^{12} - 4210681 x^{11} + 39236496 x^{10} - 137757260 x^{9} + 1044507053 x^{8} - 3077994253 x^{7} + 19191974213 x^{6} - 45165879675 x^{5} + 231046792381 x^{4} - 392285922997 x^{3} + 1622269413029 x^{2} - 1522944032030 x + 4931895139903$	$18$	[0,9]	$-\,2^{12}\cdot 7^{9}\cdot 13^{9}\cdot 37^{14}$	$4$	$251.142268032$	$306.93197221869616$	✓		?	$S_3 \times C_6$ (as 18T6)	$[2, 2, 2, 28713636]$	$2$	$8$	$615797.1340659427$
18.0.232...000.1	$x^{18} - 7 x^{17} + 210 x^{16} - 1186 x^{15} + 20051 x^{14} - 95635 x^{13} + 1171102 x^{12} - 4806923 x^{11} + 46317994 x^{10} - 163118347 x^{9} + 1278014562 x^{8} - 3772636223 x^{7} + 24313306146 x^{6} - 57241530331 x^{5} + 303026115883 x^{4} - 513902613356 x^{3} + 2204925392350 x^{2} - 2062907686453 x + 6965060119081$	$18$	[0,9]	$-\,2^{12}\cdot 5^{9}\cdot 19^{9}\cdot 37^{14}$	$4$	$256.602520806$	$313.60518643312224$	✓		?	$S_3 \times C_6$ (as 18T6)	$[2, 2, 6, 12, 820872]$	$2$	$8$	$615797.1340659427$
18.0.248...272.2	$x^{18} - 3 x^{17} + 156 x^{16} - 264 x^{15} + 12207 x^{14} - 15969 x^{13} + 513402 x^{12} - 243291 x^{11} + 11001684 x^{10} - 3913117 x^{9} + 125898486 x^{8} - 44832291 x^{7} + 676780368 x^{6} - 346339797 x^{5} + 2052116871 x^{4} - 843969360 x^{3} + 26131311780 x^{2} - 33061226361 x + 52082479009$	$18$	[0,9]	$-\,2^{12}\cdot 3^{31}\cdot 7^{14}\cdot 29^{9}$	$4$	$257.568628748$	$286.9742020513482$	✓		?	$S_3 \times C_6$ (as 18T6)	$[6, 6, 504, 7560]$	$2$	$8$	$4695974.091249611$
18.0.453...152.1	$x^{18} + 381 x^{16} - 6 x^{15} + 54000 x^{14} - 708 x^{13} + 3360784 x^{12} - 129816 x^{11} + 88101033 x^{10} - 4593018 x^{9} + 1454420187 x^{8} + 107838672 x^{7} + 15665949557 x^{6} + 2149578306 x^{5} + 112232882907 x^{4} + 28913721202 x^{3} + 534053961429 x^{2} + 154616908968 x + 1160832069377$	$18$	[0,9]	$-\,2^{18}\cdot 3^{24}\cdot 7^{9}\cdot 19^{15}$	$4$	$266.298481153$	$266.29848115266674$	✓	✓		$C_6 \times C_3$ (as 18T2)	$[2, 2, 2, 2, 2, 2, 28, 94276]$	$2$	$8$	$1472619.082400847$
18.0.481...952.1	$x^{18} - 7 x^{17} + 228 x^{16} - 1298 x^{15} + 23619 x^{14} - 113727 x^{13} + 1489716 x^{12} - 6163867 x^{11} + 63312072 x^{10} - 224224367 x^{9} + 1870301948 x^{8} - 5538379279 x^{7} + 38018012120 x^{6} - 89558691519 x^{5} + 506133264109 x^{4} - 856272430360 x^{3} + 3940350373970 x^{2} - 3662150838941 x + 13377444091051$	$18$	[0,9]	$-\,2^{12}\cdot 37^{14}\cdot 103^{9}$	$3$	$267.188479295$	$326.54275023822396$	✓		?	$S_3 \times C_6$ (as 18T6)	$[2, 2, 2, 2, 2, 208, 65520]$	$2$	$8$	$615797.1340659427$
18.0.592...000.1	$x^{18} + 570 x^{16} + 98325 x^{14} + 6783000 x^{12} + 227430000 x^{10} + 4020637500 x^{8} + 38175750000 x^{6} + 188086640625 x^{4} + 434046093750 x^{2} + 361705078125$	$18$	[0,9]	$-\,2^{18}\cdot 3^{27}\cdot 5^{9}\cdot 19^{15}$	$4$	$270.286827467$	$270.28682746729345$	✓	✓		$C_6 \times C_3$ (as 18T2)	$[2, 2, 2, 2, 2, 2, 4, 152, 7448]$	$2$	$8$	$1472619.082400847$
18.0.917...631.8	$x^{18} - 3 x^{17} - 114 x^{16} + 116 x^{15} + 6198 x^{14} + 3654 x^{13} - 177376 x^{12} - 357180 x^{11} + 2726625 x^{10} + 9507061 x^{9} - 18115494 x^{8} - 124465920 x^{7} - 75971136 x^{6} + 717479952 x^{5} + 2450615328 x^{4} + 4627285632 x^{3} + 6736075776 x^{2} + 6649528320 x + 3470262272$	$18$	[0,9]	$-\,3^{24}\cdot 7^{12}\cdot 31^{15}$	$3$	$276.924753517$	$276.9247535171926$	✓	✓		$C_6 \times C_3$ (as 18T2)	$[3, 3, 114, 265734]$	$2$	$8$	$219311185150.01114$
18.0.223...176.1	$x^{18} - 3 x^{17} + 210 x^{16} - 372 x^{15} + 20739 x^{14} - 26121 x^{13} + 1092552 x^{12} - 574347 x^{11} + 29917974 x^{10} - 10748977 x^{9} + 437841852 x^{8} - 161530719 x^{7} + 3126531786 x^{6} - 1511623617 x^{5} + 11832099909 x^{4} - 4634433048 x^{3} + 116703097728 x^{2} - 137278953357 x + 266589164359$	$18$	[0,9]	$-\,2^{12}\cdot 3^{31}\cdot 7^{14}\cdot 37^{9}$	$4$	$290.934235078$	$324.1490253162779$	✓		?	$S_3 \times C_6$ (as 18T6)	$[3, 6, 6, 2745576]$	$2$	$8$	$4695974.091249611$
18.0.242...664.1	$x^{18} - 3 x^{17} + 136 x^{16} - 298 x^{15} + 9007 x^{14} - 12805 x^{13} + 365092 x^{12} - 240073 x^{11} + 9966370 x^{10} - 9139 x^{9} + 196884574 x^{8} + 56268523 x^{7} + 2871719318 x^{6} + 317441289 x^{5} + 30612761917 x^{4} - 6634420134 x^{3} + 212309051196 x^{2} - 1789405059 x + 706194494839$	$18$	[0,9]	$-\,2^{18}\cdot 3^{9}\cdot 7^{15}\cdot 11^{9}\cdot 127^{6}$	$5$	$292.282786631$	$926.727798719533$	✓			$S_3 \times C_6$ (as 18T6)	$[2, 2, 2, 6, 7657902]$	$2$	$8$	$3608180.2583334274$
18.0.252...000.3	$x^{18} - 3 x^{17} - 90 x^{16} + 552 x^{15} + 2088 x^{14} - 27972 x^{13} + 69750 x^{12} + 183762 x^{11} - 1217997 x^{10} + 174591 x^{9} + 18161604 x^{8} - 86162778 x^{7} + 256504212 x^{6} - 660915288 x^{5} + 1700179632 x^{4} - 3807067392 x^{3} + 6631652736 x^{2} - 7430247936 x + 4958060544$	$18$	[0,9]	$-\,2^{18}\cdot 3^{31}\cdot 5^{9}\cdot 19^{14}$	$4$	$292.961101245$	$487.9404518514667$	✓			$S_3 \times C_6$ (as 18T6)	$[6, 6, 5198514]$	$2$	$8$	$15773424688.63964$
18.0.287...928.1	$x^{18} - 3 x^{17} + 51 x^{16} - 30 x^{15} + 1581 x^{14} - 3471 x^{13} + 72951 x^{12} - 287883 x^{11} + 2446248 x^{10} - 9084590 x^{9} + 51165147 x^{8} - 163367103 x^{7} + 688224225 x^{6} - 1766926269 x^{5} + 5595461043 x^{4} - 10346104119 x^{3} + 23602542069 x^{2} - 24485234526 x + 36321165287$	$18$	[0,9]	$-\,2^{12}\cdot 3^{30}\cdot 7^{14}\cdot 43^{9}$	$4$	$295.067555206$	$349.44440057233237$	✓		?	$S_3 \times C_6$ (as 18T6)	$[6, 27232686]$	$2$	$8$	$4695974.091249611$
18.0.561...768.1	$x^{18} - 3 x^{17} + 237 x^{16} - 426 x^{15} + 25869 x^{14} - 32223 x^{13} + 1500495 x^{12} - 812343 x^{11} + 45514758 x^{10} - 16485100 x^{9} + 738641697 x^{8} - 274927533 x^{7} + 5911054881 x^{6} - 2813326287 x^{5} + 24611916219 x^{4} - 9490822527 x^{3} + 224587222647 x^{2} - 254465350584 x + 542046171673$	$18$	[0,9]	$-\,2^{12}\cdot 3^{31}\cdot 7^{14}\cdot 41^{9}$	$4$	$306.256909232$	$341.2210274861962$	✓		?	$S_3 \times C_6$ (as 18T6)	$[6, 72, 772632]$	$2$	$8$	$4695974.091249611$
18.0.696...552.1	$x^{18} - 8 x^{17} + 121 x^{16} - 218 x^{15} + 5594 x^{14} - 2840 x^{13} + 393586 x^{12} - 1015636 x^{11} + 21825209 x^{10} - 34844136 x^{9} + 556579681 x^{8} + 428932198 x^{7} + 11617030252 x^{6} + 14640502408 x^{5} + 184580325172 x^{4} + 186897927432 x^{3} + 1285667140736 x^{2} + 681176924480 x + 5260791417344$	$18$	[0,9]	$-\,2^{12}\cdot 7^{15}\cdot 11^{9}\cdot 19^{15}$	$4$	$309.926972441$	$390.48351650886826$	✓			$S_3 \times C_6$ (as 18T6)	$[2, 2, 2, 56, 1865136]$	$2$	$8$	$2494653063.4840164$
18.0.863...599.1	$x^{18} - 75 x^{16} - 54 x^{15} + 3114 x^{14} - 5400 x^{13} - 55742 x^{12} + 206604 x^{11} + 583197 x^{10} - 4183416 x^{9} + 21698505 x^{8} - 78893766 x^{7} + 105153016 x^{6} + 658281600 x^{5} - 1952795136 x^{4} + 1597948416 x^{3} - 4097894400 x^{2} - 27902361600 x + 109314048000$	$18$	[0,9]	$-\,3^{27}\cdot 13^{15}\cdot 19^{12}$	$3$	$313.66814072$	$313.6681407195929$	✓	✓		$C_6 \times C_3$ (as 18T2)	$[2, 2, 2, 2, 34539492]$	$2$	$8$	$931139254937.0632$
18.0.169...592.1	$x^{18} - 5 x^{17} + 62 x^{16} - 258 x^{15} + 2823 x^{14} - 9509 x^{13} + 90154 x^{12} - 246181 x^{11} + 2230268 x^{10} - 4683867 x^{9} + 41593164 x^{8} - 66097021 x^{7} + 582912192 x^{6} - 640807131 x^{5} + 5832541787 x^{4} - 3773174596 x^{3} + 37943392200 x^{2} - 8404855443 x + 122860198521$	$18$	[0,9]	$-\,2^{12}\cdot 47^{9}\cdot 79^{14}$	$3$	$325.587538845$	$522.919496137452$	✓			$S_3 \times C_6$ (as 18T6)	$[15, 30, 566370]$	$2$	$8$	$9044146.559729666$
18.0.174...832.3	$x^{18} - 3 x^{17} - 108 x^{16} + 600 x^{15} + 3168 x^{14} - 32412 x^{13} + 37830 x^{12} + 431202 x^{11} - 1661769 x^{10} - 248865 x^{9} + 15726006 x^{8} - 46463802 x^{7} + 69765816 x^{6} - 92066016 x^{5} + 236050848 x^{4} - 606480096 x^{3} + 985387392 x^{2} - 911283456 x + 415009792$	$18$	[0,9]	$-\,2^{18}\cdot 3^{30}\cdot 7^{9}\cdot 19^{14}$	$4$	$326.112346192$	$577.3389285109907$	✓			$S_3 \times C_6$ (as 18T6)	$[2, 196072590]$	$2$	$8$	$15773424688.63964$
18.0.286...000.3	$x^{18} - 7 x^{17} - 32 x^{16} + 408 x^{15} - 48 x^{14} - 10860 x^{13} + 35022 x^{12} + 55770 x^{11} - 448329 x^{10} - 67901 x^{9} + 6180610 x^{8} - 19725330 x^{7} + 27806472 x^{6} - 45713808 x^{5} + 298949568 x^{4} - 1193707296 x^{3} + 2792992512 x^{2} - 3598002432 x + 2600310784$	$18$	[0,9]	$-\,2^{18}\cdot 3^{9}\cdot 5^{9}\cdot 127^{14}$	$4$	$335.248935984$	$620.5265820417809$	✓			$S_3 \times C_6$ (as 18T6)	$[2, 2, 10, 22386910]$	$2$	$8$	$5546046730.2947445$
18.0.298...168.1	$x^{18} + 72 x^{16} - 111 x^{15} + 864 x^{14} - 5220 x^{13} + 6589 x^{12} + 20304 x^{11} + 682224 x^{10} + 1152783 x^{9} + 4399704 x^{8} + 22003380 x^{7} - 20606866 x^{6} + 371512008 x^{5} + 4730518536 x^{4} - 13613825436 x^{3} + 134584614144 x^{2} - 214530944400 x + 636206451752$	$18$	[0,9]	$-\,2^{12}\cdot 3^{20}\cdot 23^{9}\cdot 47^{12}$	$4$	$336.060302937$	$492.3403602290018$	✓			$D_6\times S_4$ (as 18T111)	$[2, 2, 14, 4983720]$	$2$	$8$	$74519463.71257053$
18.0.325...552.1	$x^{18} + 516 x^{16} + 91332 x^{14} + 7580040 x^{12} + 336547584 x^{10} + 8434990080 x^{8} + 119555334144 x^{6} + 914455166976 x^{4} + 3376449847296 x^{2} + 4501933129728$	$18$	[0,9]	$-\,2^{27}\cdot 3^{27}\cdot 43^{15}$	$3$	$337.637432079$	$337.6374320790207$	✓	✓		$C_6 \times C_3$ (as 18T2)	$[2, 2, 146, 198268]$	$2$	$8$	$10847494.59839338$
18.0.676...576.1	$x^{18} + 468 x^{16} + 91260 x^{14} + 9596496 x^{12} + 588128112 x^{10} + 21172612032 x^{8} + 428157265536 x^{6} + 4337177495040 x^{4} + 16914992230656 x^{2} + 13993003321856$	$18$	[0,9]	$-\,2^{27}\cdot 3^{44}\cdot 13^{15}$	$3$	$351.663683532$	$351.66368353165$	✓	✓		$C_{18}$ (as 18T1)	$[3, 59698674]$	$2$	$8$	$59652214.53290313$
18.0.676...576.2	$x^{18} + 468 x^{16} + 91260 x^{14} + 9596496 x^{12} + 588128112 x^{10} + 21172612032 x^{8} + 428157265536 x^{6} + 4337177495040 x^{4} + 16914992230656 x^{2} + 18296013072896$	$18$	[0,9]	$-\,2^{27}\cdot 3^{44}\cdot 13^{15}$	$3$	$351.663683532$	$351.66368353165$	✓	✓	?	$C_{18}$ (as 18T1)	$[3, 35551278]$	$2$	$8$	$54961806.57802202$
18.0.718...000.1	$x^{18} + 630 x^{16} + 165375 x^{14} + 23409750 x^{12} + 1931304375 x^{10} + 93593981250 x^{8} + 2547836156250 x^{6} + 34743220312500 x^{4} + 182401906640625 x^{2} + 2751369140625$	$18$	[0,9]	$-\,2^{18}\cdot 3^{45}\cdot 5^{9}\cdot 7^{15}$	$4$	$352.830809674$	$352.8308096736756$	✓	✓	?	$C_{18}$ (as 18T1)	$[2, 2, 117953574]$	$2$	$8$	$4392158.291236831$
18.0.718...000.2	$x^{18} + 630 x^{16} + 165375 x^{14} + 23409750 x^{12} + 1931304375 x^{10} + 93593981250 x^{8} + 2547836156250 x^{6} + 34743220312500 x^{4} + 182401906640625 x^{2} + 209676837890625$	$18$	[0,9]	$-\,2^{18}\cdot 3^{45}\cdot 5^{9}\cdot 7^{15}$	$4$	$352.830809674$	$352.8308096736756$	✓	✓	?	$C_{18}$ (as 18T1)	$[2, 2, 171585186]$	$2$	$8$	$10392888.21418944$
18.0.163...872.1	$x^{18} + 285 x^{16} - 76 x^{15} + 44460 x^{14} + 59052 x^{13} + 3094283 x^{12} + 1799718 x^{11} + 36134124 x^{10} + 100728424 x^{9} + 1560486036 x^{8} - 2931191484 x^{7} + 21949850871 x^{6} + 3554059440 x^{5} + 270199015086 x^{4} - 1052376262422 x^{3} + 6005339466180 x^{2} - 10915804281390 x + 18869246125489$	$18$	[0,9]	$-\,2^{18}\cdot 3^{24}\cdot 7^{9}\cdot 19^{17}$	$4$	$369.362178366$	$369.3621783657878$	✓	✓	?	$C_{18}$ (as 18T1)	$[2, 2, 4, 9195132]$	$2$	$8$	$15010229.973756868$
18.0.163...872.2	$x^{18} + 285 x^{16} - 76 x^{15} + 44460 x^{14} + 3648 x^{13} + 3097703 x^{12} - 1431156 x^{11} + 33094599 x^{10} - 68927858 x^{9} + 1621667955 x^{8} + 2435565198 x^{7} + 21610704006 x^{6} + 17871018366 x^{5} + 337785531834 x^{4} + 994931059476 x^{3} + 5274173007969 x^{2} + 9476448749994 x + 18942165498853$	$18$	[0,9]	$-\,2^{18}\cdot 3^{24}\cdot 7^{9}\cdot 19^{17}$	$4$	$369.362178366$	$369.3621783657878$	✓	✓		$C_{18}$ (as 18T1)	$[2, 2, 2, 2, 2, 2, 2, 2, 4, 418188]$	$2$	$8$	$22027035.20428972$
18.0.173...056.1	$x^{18} + 444 x^{16} + 78588 x^{14} + 7202864 x^{12} + 374901168 x^{10} + 11442434112 x^{8} + 203442083456 x^{6} + 2004094947840 x^{4} + 9552891988224 x^{2} + 14745141983744$	$18$	[0,9]	$-\,2^{27}\cdot 3^{24}\cdot 37^{17}$	$3$	$370.498174527$	$370.49817452741735$	✓	✓		$C_{18}$ (as 18T1)	$[3, 72954210]$	$2$	$8$	$282437461.5224087$
18.0.202...728.1	$x^{18} + 468 x^{16} + 91260 x^{14} + 9596496 x^{12} + 588128112 x^{10} + 21172612032 x^{8} + 428157265536 x^{6} + 4337177495040 x^{4} + 16914992230656 x^{2} + 3422001643008$	$18$	[0,9]	$-\,2^{27}\cdot 3^{45}\cdot 13^{15}$	$3$	$373.795662216$	$373.7956622157251$	✓	✓	?	$C_{18}$ (as 18T1)	$[2, 212388954]$	$2$	$8$	$54961806.57802202$
18.0.202...728.2	$x^{18} + 468 x^{16} + 91260 x^{14} + 9596496 x^{12} + 588128112 x^{10} + 21172612032 x^{8} + 428157265536 x^{6} + 4337177495040 x^{4} + 16914992230656 x^{2} + 7725011394048$	$18$	[0,9]	$-\,2^{27}\cdot 3^{45}\cdot 13^{15}$	$3$	$373.795662216$	$373.7956622157251$	✓	✓	?	$C_{18}$ (as 18T1)	$[2, 77852274]$	$2$	$8$	$59652214.53290313$
18.0.210...344.2	$x^{18} - 30 x^{16} - 456 x^{15} + 2034 x^{14} + 2706 x^{13} - 7532 x^{12} - 1038168 x^{11} + 2658099 x^{10} + 19740598 x^{9} + 216555534 x^{8} + 37355694 x^{7} + 4501586641 x^{6} + 13683356496 x^{5} + 109092265428 x^{4} - 82064768620 x^{3} + 347083985700 x^{2} - 148747023000 x + 250641775000$	$18$	[0,9]	$-\,2^{18}\cdot 3^{27}\cdot 7^{15}\cdot 19^{12}$	$4$	$374.509333004$	$374.5093330040377$	✓	✓		$C_6 \times C_3$ (as 18T2)	$[2, 6, 36, 435708]$	$2$	$8$	$926168257.1203558$
18.0.210...344.4	$x^{18} - 30 x^{16} - 426 x^{15} + 3546 x^{14} - 5478 x^{13} + 112168 x^{12} - 653382 x^{11} + 5940777 x^{10} - 27557386 x^{9} + 54773046 x^{8} - 196704744 x^{7} + 3951456340 x^{6} + 787839768 x^{5} + 53542445592 x^{4} + 25422376576 x^{3} + 441096494976 x^{2} + 121672015488 x + 2149375249792$	$18$	[0,9]	$-\,2^{18}\cdot 3^{27}\cdot 7^{15}\cdot 19^{12}$	$4$	$374.509333004$	$374.5093330040377$	✓	✓		$C_6 \times C_3$ (as 18T2)	$[2, 2, 2, 2, 2, 2, 2, 2, 4, 12, 36, 252]$	$2$	$8$	$10681224266.072006$
18.0.210...344.6	$x^{18} - 279 x^{16} - 114 x^{15} + 36072 x^{14} + 30096 x^{13} - 2613396 x^{12} - 3430944 x^{11} + 105501465 x^{10} + 204598042 x^{9} - 1724576913 x^{8} - 5860535940 x^{7} - 22592017839 x^{6} + 28166415822 x^{5} + 896870114343 x^{4} + 1713810637074 x^{3} + 8571032362377 x^{2} + 6221781695196 x + 13691196826273$	$18$	[0,9]	$-\,2^{18}\cdot 3^{27}\cdot 7^{15}\cdot 19^{12}$	$4$	$374.509333004$	$374.5093330040377$	✓	✓		$C_6 \times C_3$ (as 18T2)	$[2, 2, 2, 6, 36, 65268]$	$2$	$8$	$42198260.232521206$
18.0.210...344.7	$x^{18} - 6 x^{17} - 123 x^{16} + 214 x^{15} + 14436 x^{14} + 23100 x^{13} - 870492 x^{12} - 5139900 x^{11} + 25244937 x^{10} + 362433664 x^{9} + 788783403 x^{8} - 10162090644 x^{7} - 78907957919 x^{6} - 102611054952 x^{5} + 1558542590511 x^{4} + 11074200636090 x^{3} + 37880347635009 x^{2} + 68911053919794 x + 63247295717733$	$18$	[0,9]	$-\,2^{18}\cdot 3^{27}\cdot 7^{15}\cdot 19^{12}$	$4$	$374.509333004$	$374.5093330040377$	✓	✓		$C_6 \times C_3$ (as 18T2)	$[2, 2, 6, 6, 6, 6, 12, 4788]$	$2$	$8$	$204714035.62195203$
18.0.210...344.10	$x^{18} - 6 x^{17} + 105 x^{16} - 470 x^{15} + 5088 x^{14} - 19992 x^{13} + 148828 x^{12} - 475356 x^{11} + 2514777 x^{10} - 6643036 x^{9} + 25989579 x^{8} - 49796760 x^{7} + 77021785 x^{6} + 63019572 x^{5} + 3867087 x^{4} - 2732121798 x^{3} + 16365722709 x^{2} - 30542807610 x + 27422121601$	$18$	[0,9]	$-\,2^{18}\cdot 3^{27}\cdot 7^{15}\cdot 19^{12}$	$4$	$374.509333004$	$374.5093330040377$	✓	✓		$C_6 \times C_3$ (as 18T2)	$[2, 2, 2, 2, 4, 12, 180, 2340]$	$2$	$8$	$110172188.8644179$
18.0.228...368.1	$x^{18} + 348 x^{16} - 6 x^{15} + 53571 x^{14} - 642 x^{13} + 4749545 x^{12} + 9708 x^{11} + 265060431 x^{10} + 4893800 x^{9} + 9583959330 x^{8} + 337218438 x^{7} + 223808102424 x^{6} + 12508745586 x^{5} + 3292755135573 x^{4} + 292609182286 x^{3} + 28764421042719 x^{2} + 3142777574502 x + 114567254733219$	$18$	[0,9]	$-\,2^{27}\cdot 3^{24}\cdot 61^{15}$	$3$	$376.254349404$	$376.25434940443097$	✓	✓		$C_6 \times C_3$ (as 18T2)	$[6, 114, 759810]$	$2$	$8$	$155231848.66582242$
18.0.232...976.1	$x^{18} + 75 x^{16} - 76 x^{15} + 6471 x^{14} + 2052 x^{13} + 413371 x^{12} + 107388 x^{11} + 20079240 x^{10} + 13599706 x^{9} + 775572138 x^{8} + 779478990 x^{7} + 21570475153 x^{6} + 26380180944 x^{5} + 434832004497 x^{4} + 584216479326 x^{3} + 5532391423872 x^{2} + 5208110998344 x + 29491760233189$	$18$	[0,9]	$-\,2^{18}\cdot 3^{27}\cdot 7^{9}\cdot 19^{16}$	$4$	$376.643750076$	$376.6437500763521$	✓	✓		$C_{18}$ (as 18T1)	$[2, 2, 2, 2, 2, 2, 2, 2, 12, 296172]$	$2$	$8$	$22027035.20428972$
18.0.244...375.1	$x^{18} - 5 x^{17} + 256 x^{16} - 1254 x^{15} + 23031 x^{14} - 128645 x^{13} + 995929 x^{12} - 6792838 x^{11} + 48781375 x^{10} - 102865150 x^{9} + 3289661823 x^{8} + 8469771305 x^{7} + 124438453933 x^{6} + 413878987297 x^{5} + 2872304692608 x^{4} + 7963413486647 x^{3} + 34868873043404 x^{2} + 64347661656908 x + 153482306734184$	$18$	[0,9]	$-\,5^{9}\cdot 7^{15}\cdot 13^{15}\cdot 61^{6}$	$4$	$377.684742482$	$749.3494851792988$	✓		?	$S_3 \times C_6$ (as 18T6)	$[2, 2, 2, 2, 10857210]$	$2$	$8$	$39072844.256274134$
18.0.364...963.5	$x^{18} - 1332 x^{15} + 390942 x^{12} + 37068931 x^{9} - 251077338 x^{6} + 53409637566 x^{3} + 8020417344913$	$18$	[0,9]	$-\,3^{45}\cdot 37^{16}$	$2$	$386.153721691$	$386.15372169082315$	✓	✓		$C_{18}$ (as 18T1)	$[333, 925407]$	$6$	$8$	$798293358.2555804$
18.0.438...656.1	$x^{18} + 72 x^{16} - 37 x^{15} + 864 x^{14} - 1740 x^{13} + 14549 x^{12} + 6768 x^{11} + 1228656 x^{10} + 195101 x^{9} + 16825752 x^{8} + 3464028 x^{7} + 43403854 x^{6} + 151096536 x^{5} + 4255839624 x^{4} - 4059229812 x^{3} + 120470370048 x^{2} - 78117951024 x + 802235460456$	$18$	[0,9]	$-\,2^{12}\cdot 3^{20}\cdot 31^{9}\cdot 47^{12}$	$4$	$390.152274816$	$571.5870331851074$	✓			$D_6\times S_4$ (as 18T111)	$[2, 2, 4, 8, 6561912]$	$2$	$8$	$124570381.75700063$
18.0.582...472.1	$x^{18} + 474 x^{16} + 59013 x^{14} + 2045784 x^{12} + 19771488 x^{10} + 82905444 x^{8} + 170304408 x^{6} + 173056689 x^{4} + 79872318 x^{2} + 13312053$	$18$	[0,9]	$-\,2^{18}\cdot 3^{27}\cdot 79^{15}$	$3$	$396.339892412$	$396.3398924117622$	✓	✓		$C_6 \times C_3$ (as 18T2)	$[2, 2, 2, 6, 756, 14364]$	$2$	$8$	$33738401.24471492$
18.0.744...384.4	$x^{18} + 342 x^{16} + 36423 x^{14} + 1398894 x^{12} + 25743195 x^{10} + 255741786 x^{8} + 1406615562 x^{6} + 4024770228 x^{4} + 4661278569 x^{2} + 5640625$	$18$	[0,9]	$-\,2^{18}\cdot 3^{44}\cdot 19^{16}$	$3$	$401.787354108$	$401.7873541083992$	✓	✓		$C_{18}$ (as 18T1)	$[161970201]$	$4$	$8$	$5772307958.489205$
18.0.756...944.1	$x^{18} - 3 x^{17} + 21 x^{16} - 390 x^{15} + 1605 x^{14} + 2517 x^{13} + 192669 x^{12} + 878361 x^{11} + 8448546 x^{10} + 34317110 x^{9} + 215974023 x^{8} + 759000693 x^{7} + 3570618183 x^{6} + 10073564715 x^{5} + 35167390251 x^{4} + 70641640257 x^{3} + 175409363589 x^{2} + 195259486710 x + 313934054923$	$18$	[0,9]	$-\,2^{18}\cdot 3^{31}\cdot 13^{14}\cdot 17^{9}$	$4$	$402.127402921$	$655.789424321804$	✓		?	$S_3 \times C_6$ (as 18T6)	$[3, 78, 688740]$	$2$	$8$	$96135527.08384958$
18.0.797...000.1	$x^{18} - 6 x^{17} - 138 x^{16} + 738 x^{15} + 7908 x^{14} - 39702 x^{13} - 151035 x^{12} + 1155498 x^{11} + 518775 x^{10} - 10423648 x^{9} + 25952187 x^{8} - 144337500 x^{7} + 914131653 x^{6} - 2002698378 x^{5} + 5393042586 x^{4} - 14614241886 x^{3} + 37957823343 x^{2} - 8673549336 x + 134550076329$	$18$	[0,9]	$-\,2^{18}\cdot 3^{30}\cdot 5^{9}\cdot 31^{14}$	$4$	$403.334222599$	$518.8301873718937$	✓		?	$S_3 \times C_6$ (as 18T6)	$[2, 6, 6, 18, 181818]$	$2$	$8$	$54921872.620261565$
18.0.927...875.1	$x^{18} - 3 x^{17} + 339 x^{16} - 718 x^{15} + 38799 x^{14} - 50499 x^{13} + 1973963 x^{12} - 8326335 x^{11} + 66657471 x^{10} - 231512183 x^{9} - 2277637200 x^{8} + 7247046159 x^{7} - 22427766017 x^{6} + 50286228906 x^{5} + 1181749022628 x^{4} + 14549971677744 x^{3} + 43719649169952 x^{2} - 10371602750112 x + 117524602668864$	$18$	[0,9]	$-\,3^{21}\cdot 5^{9}\cdot 23^{8}\cdot 157^{9}$	$4$	$406.713570835$	$484.10571565217276$	✓		?	$D_6\times S_4$ (as 18T111)	$[2, 2, 2, 2, 2, 3919050]$	$2$	$8$	$139609826.78020513$
18.0.932...224.1	$x^{18} + 384 x^{16} - 6 x^{15} + 63651 x^{14} - 714 x^{13} + 5927501 x^{12} - 8580 x^{11} + 340172631 x^{10} + 4558136 x^{9} + 12479698206 x^{8} + 413166918 x^{7} + 293715212040 x^{6} + 16600209018 x^{5} + 4343847853269 x^{4} + 394357188862 x^{3} + 38060351025159 x^{2} + 4181456863998 x + 151794199375503$	$18$	[0,9]	$-\,2^{27}\cdot 3^{24}\cdot 67^{15}$	$3$	$406.851263168$	$406.85126316836045$	✓	✓		$C_6 \times C_3$ (as 18T2)	$[42, 42, 467754]$	$2$	$8$	$186599315.1231102$