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Label	Polynomial	Degree	Signature	Discriminant	Ram. prime count	Root discriminant	Galois root discriminant	Monogenic	Galois group	Class group	Unit group torsion	Unit group rank	Regulator
18.6.110...000.1	$x^{18} - 5 x^{17} + 5 x^{16} + 10 x^{15} - 19 x^{14} + 7 x^{13} - 18 x^{12} + 34 x^{11} + 21 x^{10} - 70 x^{9} + 22 x^{8} + 14 x^{7} + 11 x^{6} - 7 x^{5} - 20 x^{4} + 13 x^{3} - x^{2} + 4 x - 1$	$18$	[6,6]	$2^{12}\cdot 5^{9}\cdot 7^{12}$	$3$	$12.988839767$	$16.364912636128995$	?	$S_3 \times C_6$ (as 18T6)	trivial	$2$	$11$	$742.586512103$
18.6.131...441.1	$x^{18} - 7 x^{16} - 4 x^{15} + 21 x^{14} + 21 x^{13} - 29 x^{12} - 49 x^{11} + 14 x^{10} + 63 x^{9} + 14 x^{8} - 49 x^{7} - 29 x^{6} + 21 x^{5} + 21 x^{4} - 4 x^{3} - 7 x^{2} + 1$	$18$	[6,6]	$7^{12}\cdot 97579^{2}$	$2$	$13.1151004901$	$1143.0806547161178$	✓	$S_4\wr C_3$ (as 18T703)	trivial	$2$	$11$	$820.19147572$
18.6.203...041.1	$x^{18} - 5 x^{17} + 2 x^{16} + 29 x^{15} - 41 x^{14} - 77 x^{13} + 166 x^{12} + 107 x^{11} - 338 x^{10} - 67 x^{9} + 383 x^{8} + x^{7} - 234 x^{6} + 4 x^{5} + 96 x^{4} - 10 x^{3} - 23 x^{2} + 4 x + 1$	$18$	[6,6]	$31^{6}\cdot 6121^{3}$	$2$	$13.4356173914$	$435.60417812504966$	?	$S_3\wr S_3$ (as 18T314)	trivial	$2$	$11$	$1055.04397469$
18.6.209...672.1	$x^{18} - 5 x^{17} + 9 x^{16} - 6 x^{15} - 5 x^{14} + 16 x^{13} - 14 x^{12} + 13 x^{11} - 33 x^{10} + 54 x^{9} - 59 x^{8} + 34 x^{7} - 12 x^{6} + 35 x^{5} - 39 x^{4} + 8 x^{3} - 3 x^{2} + 6 x - 1$	$18$	[6,6]	$2^{12}\cdot 13^{15}$	$2$	$13.4577603621$	$16.955715564708598$	?	$S_3 \times C_6$ (as 18T6)	trivial	$2$	$11$	$1074.07507043$
18.6.212...169.1	$x^{18} - 2 x^{17} + x^{16} - 5 x^{15} + 4 x^{14} + 2 x^{13} + 4 x^{12} + 5 x^{11} - 10 x^{10} + x^{9} - 10 x^{8} + 5 x^{7} + 4 x^{6} + 2 x^{5} + 4 x^{4} - 5 x^{3} + x^{2} - 2 x + 1$	$18$	[6,6]	$7^{12}\cdot 123787^{2}$	$2$	$13.466398912$	$1287.4673146347911$	✓	$S_4\wr C_3$ (as 18T703)	trivial	$2$	$11$	$1078.49956113$
18.6.262...297.1	$x^{18} - 10 x^{16} - 6 x^{15} + 23 x^{14} + 13 x^{13} + 11 x^{12} + 72 x^{11} - 45 x^{10} - 265 x^{9} - 99 x^{8} + 246 x^{7} + 227 x^{6} - 3 x^{5} - 87 x^{4} - 37 x^{3} + 2 x^{2} + 5 x + 1$	$18$	[6,6]	$23^{6}\cdot 12097^{3}$	$2$	$13.6255975954$	$527.4760658077294$	?	$S_3\wr S_3$ (as 18T314)	trivial	$2$	$11$	$1201.90447655$
18.6.263...881.1	$x^{18} - 4 x^{16} - x^{15} + 6 x^{14} + 5 x^{13} - 6 x^{12} - 10 x^{11} + 3 x^{10} + 11 x^{9} + 3 x^{8} - 10 x^{7} - 6 x^{6} + 5 x^{5} + 6 x^{4} - x^{3} - 4 x^{2} + 1$	$18$	[6,6]	$7^{12}\cdot 138041^{2}$	$2$	$13.6304660092$	$1359.5736588385284$	✓	$S_4\wr C_3$ (as 18T703)	trivial	$2$	$11$	$1220.10864388$
18.6.270...481.1	$x^{18} - 6 x^{17} + 13 x^{16} - 5 x^{15} - 50 x^{14} + 186 x^{13} - 408 x^{12} + 671 x^{11} - 888 x^{10} + 973 x^{9} - 888 x^{8} + 671 x^{7} - 408 x^{6} + 186 x^{5} - 50 x^{4} - 5 x^{3} + 13 x^{2} - 6 x + 1$	$18$	[6,6]	$37^{4}\cdot 229^{6}$	$2$	$13.6490083503$	$168.0295085661925$	?	$C_3^3:S_4$ (as 18T203)	trivial	$2$	$11$	$1221.91254415$
18.6.306...929.1	$x^{18} - x^{17} - 4 x^{16} - 4 x^{15} + x^{14} + 11 x^{13} + 13 x^{12} + 4 x^{11} - 11 x^{10} - 19 x^{9} - 11 x^{8} + 4 x^{7} + 13 x^{6} + 11 x^{5} + x^{4} - 4 x^{3} - 4 x^{2} - x + 1$	$18$	[6,6]	$7^{12}\cdot 53^{6}$	$2$	$13.7453979089$	$26.640147687438905$	?	$C_3\times S_4$ (as 18T33)	trivial	$2$	$11$	$1319.97752957$
18.6.347...361.1	$x^{18} - x^{17} - 5 x^{16} + 10 x^{15} + 14 x^{14} - 30 x^{13} - 30 x^{12} + 35 x^{11} + 29 x^{10} - 28 x^{9} - 3 x^{8} + 28 x^{7} - 16 x^{6} - 22 x^{5} + 14 x^{4} + 10 x^{3} - 6 x^{2} - 2 x + 1$	$18$	[6,6]	$7^{12}\cdot 251^{2}\cdot 631^{2}$	$3$	$13.8402355039$	$1456.2979350430724$	?	$S_4\wr C_3$ (as 18T703)	trivial	$2$	$11$	$1404.17713428$
18.6.357...625.1	$x^{18} - 5 x^{16} - 6 x^{15} + 8 x^{14} + 25 x^{13} + 9 x^{12} - 32 x^{11} - 44 x^{10} - 2 x^{9} + 44 x^{8} + 38 x^{7} - 4 x^{6} - 28 x^{5} - 19 x^{4} + 8 x^{2} + 5 x + 1$	$18$	[6,6]	$5^{9}\cdot 71\cdot 941\cdot 1399^{3}$	$4$	$13.8622926835$	$21618.11612976487$	?	$C_3^6.S_4^2:D_4$ (as 18T951)	trivial	$2$	$11$	$1435.73270657$
18.6.378...917.1	$x^{18} - 3 x^{17} + 2 x^{16} - 5 x^{15} + 4 x^{14} + 29 x^{13} - 5 x^{12} - 83 x^{11} + 7 x^{10} + 105 x^{9} + 7 x^{8} - 83 x^{7} - 5 x^{6} + 29 x^{5} + 4 x^{4} - 5 x^{3} + 2 x^{2} - 3 x + 1$	$18$	[6,6]	$11^{4}\cdot 37^{5}\cdot 139^{4}$	$3$	$13.9077763398$	$874.823585606666$	?	$C_2^9.A_9$ (as 18T966)	trivial	$2$	$11$	$1568.66869653$
18.6.382...624.1	$x^{18} - 4 x^{17} + 5 x^{16} - x^{15} - 7 x^{14} + 19 x^{13} - 23 x^{12} + 27 x^{11} - 15 x^{10} - 40 x^{9} + 42 x^{8} + 3 x^{7} + 15 x^{6} - 23 x^{5} - 11 x^{4} + 20 x^{3} - 7 x^{2} - x + 1$	$18$	[6,6]	$2^{12}\cdot 3^{9}\cdot 7^{15}$	$3$	$13.9153988181$	$13.915398818088354$	?	$S_3 \times C_6$ (as 18T6)	trivial	$2$	$11$	$1508.2719973364074$
18.6.390...896.1	$x^{18} + 2 x^{16} - 15 x^{12} - 10 x^{10} + 27 x^{8} - 21 x^{4} + 9 x^{2} - 1$	$18$	[6,6]	$2^{24}\cdot 13^{12}$	$2$	$13.9316395358$	$22.11509925471549$	?	$C_3\times S_4$ (as 18T33)	trivial	$2$	$11$	$1599.9074433$
18.6.397...649.1	$x^{18} - 2 x^{17} - 3 x^{16} + 11 x^{15} - 9 x^{14} - 7 x^{13} + 22 x^{12} - 14 x^{11} - 11 x^{10} + 25 x^{9} - 11 x^{8} - 14 x^{7} + 22 x^{6} - 7 x^{5} - 9 x^{4} + 11 x^{3} - 3 x^{2} - 2 x + 1$	$18$	[6,6]	$7^{12}\cdot 169457^{2}$	$2$	$13.9445757545$	$1506.358873599988$	?	$S_4\wr C_3$ (as 18T703)	trivial	$2$	$11$	$1607.68707045$
18.6.399...125.1	$x^{18} - x^{17} - 6 x^{16} + 9 x^{15} + 11 x^{14} - 29 x^{13} - 2 x^{12} + 66 x^{11} - 31 x^{10} - 123 x^{9} + 77 x^{8} + 156 x^{7} - 78 x^{6} - 117 x^{5} + 29 x^{4} + 41 x^{3} - 3 x - 1$	$18$	[6,6]	$5^{13}\cdot 83^{6}$	$2$	$13.9477568341$	$34.83485842311318$	?	$C_3^2:D_6$ (as 18T52)	trivial	$2$	$11$	$1543.67483693$
18.6.402...125.1	$x^{18} + 6 x^{16} - 6 x^{15} + 9 x^{14} - 21 x^{13} - 3 x^{12} + 9 x^{11} - 36 x^{10} + 91 x^{9} - 90 x^{8} + 48 x^{7} + 6 x^{6} - 72 x^{5} + 126 x^{4} - 87 x^{3} + 18 x^{2} + 3 x - 1$	$18$	[6,6]	$3^{30}\cdot 5^{9}$	$2$	$13.953626481725104$	$14.831798946842026$	?	$S_3 \times C_6$ (as 18T6)	trivial	$2$	$11$	$1606.1684586798003$
18.6.424...961.1	$x^{18} - 9 x^{17} + 34 x^{16} - 68 x^{15} + 69 x^{14} - 7 x^{13} - 75 x^{12} + 99 x^{11} - 53 x^{10} + x^{9} + 17 x^{8} - 25 x^{7} + 29 x^{6} - 11 x^{5} - 6 x^{4} + 4 x^{3} - x^{2} + x - 1$	$18$	[6,6]	$601\cdot 2293^{2}\cdot 366517^{2}$	$3$	$13.9956419613$	$710700.015534684$	?	$C_2^9.S_9$ (as 18T968)	trivial	$2$	$11$	$1587.36982594$
18.6.431...521.1	$x^{18} - 4 x^{17} + 7 x^{16} - 13 x^{15} + 16 x^{14} + x^{13} - 15 x^{12} + 21 x^{11} - 65 x^{10} + 69 x^{9} - 10 x^{8} - 12 x^{7} + 29 x^{6} - 61 x^{5} + 42 x^{4} + 3 x^{3} - 16 x^{2} + 7 x - 1$	$18$	[6,6]	$3^{4}\cdot 2307632671^{2}$	$2$	$14.0080859794$	$83203.95431107827$	?	$C_2^8.S_9$ (as 18T964)	trivial	$2$	$11$	$1622.43555551$
18.6.473...449.1	$x^{18} - 3 x^{17} - 2 x^{16} + 18 x^{15} - 7 x^{14} - 48 x^{13} + 40 x^{12} + 87 x^{11} - 88 x^{10} - 109 x^{9} + 121 x^{8} + 111 x^{7} - 96 x^{6} - 83 x^{5} + 31 x^{4} + 24 x^{3} - 11 x^{2} - 8 x - 1$	$18$	[6,6]	$89\cdot 2307632671^{2}$	$2$	$14.0815771211$	$453187.93862921814$	?	$C_2^9.S_9$ (as 18T968)	trivial	$2$	$11$	$1691.18697131$
18.6.495...625.1	$x^{18} - 2 x^{17} - 3 x^{16} + 14 x^{15} - 14 x^{14} - 19 x^{13} + 65 x^{12} - 50 x^{11} - 57 x^{10} + 142 x^{9} - 69 x^{8} - 85 x^{7} + 129 x^{6} - 42 x^{5} - 32 x^{4} + 28 x^{3} - 2 x^{2} - 4 x + 1$	$18$	[6,6]	$3^{12}\cdot 5^{8}\cdot 13^{4}\cdot 17^{4}$	$4$	$14.1159539387$	$491.5600669239827$	?	$C_2^8.A_9$ (as 18T963)	trivial	$2$	$11$	$1750.15489045$
18.6.523...000.1	$x^{18} - x^{16} - 6 x^{14} + 5 x^{12} + 2 x^{10} - 7 x^{8} + 18 x^{6} - 7 x^{4} - 3 x^{2} - 1$	$18$	[6,6]	$2^{12}\cdot 5^{8}\cdot 83^{6}$	$3$	$14.1590037407$	$53.27813877645612$	?	$C_3^2:S_4$ (as 18T108)	trivial	$2$	$11$	$1833.2983103$
18.6.580...269.1	$x^{18} - 5 x^{17} + 8 x^{16} - 2 x^{15} - 7 x^{14} + 16 x^{13} - 42 x^{12} + 55 x^{11} - 6 x^{10} - 38 x^{9} + 21 x^{8} - 16 x^{7} + 17 x^{6} + 12 x^{5} + 7 x^{4} - 53 x^{3} + 44 x^{2} - 10 x - 1$	$18$	[6,6]	$109\cdot 2307632671^{2}$	$2$	$14.2410566559$	$501529.62139738066$	?	$C_2^9.S_9$ (as 18T968)	trivial	$2$	$11$	$1868.64202768$
18.6.584...625.1	$x^{18} - 6 x^{16} - 4 x^{15} + 20 x^{14} - 6 x^{13} - 39 x^{12} + 62 x^{11} + 106 x^{10} - 86 x^{9} - 244 x^{8} + 6 x^{7} + 275 x^{6} + 63 x^{5} - 132 x^{4} - 44 x^{3} + 17 x^{2} + 9 x + 1$	$18$	[6,6]	$5^{4}\cdot 23^{6}\cdot 43^{6}$	$3$	$14.247065846$	$91.95559284957206$	?	$C_3^3:S_4$ (as 18T224)	trivial	$2$	$11$	$1900.35507337$
18.6.597...000.1	$x^{18} - 3 x^{17} + x^{16} + 4 x^{15} - 10 x^{14} + 22 x^{13} - 6 x^{12} - 28 x^{11} - 37 x^{10} + 135 x^{9} - 89 x^{8} + 32 x^{7} - 54 x^{6} - 26 x^{5} + 130 x^{4} - 76 x^{3} - 7 x^{2} + 9 x + 1$	$18$	[6,6]	$2^{12}\cdot 3^{14}\cdot 5^{15}$	$3$	$14.264481057144765$	$21.86770120822431$	?	$C_3^2:D_6$ (as 18T52)	trivial	$2$	$11$	$2031.8952271815667$
18.6.616...113.1	$x^{18} - 3 x^{17} - 3 x^{16} + 12 x^{15} + 12 x^{14} - 39 x^{13} - 19 x^{12} + 78 x^{11} + 6 x^{10} - 84 x^{9} - 21 x^{8} + 84 x^{7} + 65 x^{6} - 105 x^{5} - 54 x^{4} + 75 x^{3} + 15 x^{2} - 18 x - 1$	$18$	[6,6]	$3^{24}\cdot 1297^{3}$	$2$	$14.288446147$	$155.82303573761126$	?	$S_3\wr C_3$ (as 18T207)	trivial	$2$	$11$	$1922.00208319$
18.6.616...113.2	$x^{18} - 6 x^{17} + 15 x^{16} - 14 x^{15} - 21 x^{14} + 81 x^{13} - 111 x^{12} + 81 x^{11} - 48 x^{10} + 58 x^{9} - 36 x^{8} - 75 x^{7} + 183 x^{6} - 171 x^{5} + 81 x^{4} - 10 x^{3} - 9 x^{2} + 3 x - 1$	$18$	[6,6]	$3^{24}\cdot 1297^{3}$	$2$	$14.288446147$	$155.82303573761126$	?	$S_4\wr C_3$ (as 18T702)	trivial	$2$	$11$	$2006.15135871$
18.6.661...000.1	$x^{18} - 3 x^{17} - x^{16} + 16 x^{15} - 17 x^{14} - 22 x^{13} + 60 x^{12} - 17 x^{11} - 87 x^{10} + 80 x^{9} + 57 x^{8} - 108 x^{7} + 4 x^{6} + 75 x^{5} - 31 x^{4} - 26 x^{3} + 13 x^{2} + 2 x - 1$	$18$	[6,6]	$2^{18}\cdot 3^{6}\cdot 5^{9}\cdot 11^{6}$	$4$	$14.3445296041$	$36.3318042491699$	?	$S_3^2:C_2^2$ (as 18T63)	trivial	$2$	$11$	$2319.60000104$
18.6.671...648.1	$x^{18} - x^{17} - 9 x^{16} + 9 x^{15} + 34 x^{14} - 25 x^{13} - 65 x^{12} + 16 x^{11} + 57 x^{10} + 48 x^{9} - 18 x^{8} - 86 x^{7} - 9 x^{6} + 49 x^{5} + 13 x^{4} - 11 x^{3} - 5 x^{2} + 2 x + 1$	$18$	[6,6]	$2^{14}\cdot 3^{9}\cdot 113^{6}$	$3$	$14.3566974944$	$61.05953468165484$	?	$C_6^2:D_6$ (as 18T156)	trivial	$2$	$11$	$2219.83808179$
18.6.677...064.1	$x^{18} - 3 x^{17} + 2 x^{16} + 8 x^{15} - 19 x^{14} + 21 x^{13} - 10 x^{12} + 9 x^{11} - 78 x^{10} + 109 x^{9} - 46 x^{8} + 33 x^{7} - 50 x^{6} + 13 x^{5} + 25 x^{4} - 22 x^{3} + 8 x^{2} - 3 x + 1$	$18$	[6,6]	$2^{12}\cdot 37^{6}\cdot 401^{3}$	$3$	$14.3640850271$	$193.35691669702553$	?	$S_3\wr S_3$ (as 18T314)	trivial	$2$	$11$	$2314.21502241$
18.6.811...481.1	$x^{18} - x^{17} - 5 x^{16} + 5 x^{15} + 8 x^{14} - 16 x^{13} + 3 x^{12} + 40 x^{11} - 32 x^{10} - 63 x^{9} + 62 x^{8} + 76 x^{7} - 63 x^{6} - 64 x^{5} + 15 x^{4} - x^{3} - 11 x^{2} + 2 x + 1$	$18$	[6,6]	$7^{12}\cdot 113^{2}\cdot 2143^{2}$	$3$	$14.5088200729$	$1800.7316613040525$	?	$S_4\wr C_3$ (as 18T703)	trivial	$2$	$11$	$2267.33209131$
18.6.826...000.1	$x^{18} - 3 x^{17} + 4 x^{16} - 3 x^{15} - x^{14} + x^{13} + 23 x^{12} - 23 x^{10} - 41 x^{9} + 8 x^{8} + 48 x^{7} + 32 x^{6} - 29 x^{5} - 38 x^{4} + 8 x^{3} + 13 x^{2} - 1$	$18$	[6,6]	$2^{12}\cdot 5^{3}\cdot 13^{2}\cdot 37^{6}\cdot 61^{2}$	$5$	$14.5230234223$	$608.0077592018499$	?	$D_6\wr S_3$ (as 18T556)	trivial	$2$	$11$	$2303.54486226$
18.6.870...433.1	$x^{18} - 5 x^{17} + 10 x^{16} - 4 x^{15} - 35 x^{14} + 126 x^{13} - 281 x^{12} + 491 x^{11} - 689 x^{10} + 773 x^{9} - 689 x^{8} + 491 x^{7} - 281 x^{6} + 126 x^{5} - 35 x^{4} - 4 x^{3} + 10 x^{2} - 5 x + 1$	$18$	[6,6]	$7^{12}\cdot 41^{3}\cdot 97^{3}$	$3$	$14.5654740959$	$230.76847964399414$	?	$S_3\wr C_3$ (as 18T207)	trivial	$2$	$11$	$2303.34163488$
18.6.870...433.2	$x^{18} - 7 x^{16} - 6 x^{15} + 19 x^{14} + 30 x^{13} - 11 x^{12} - 55 x^{11} - 37 x^{10} + 44 x^{9} + 80 x^{8} - 23 x^{7} - 96 x^{6} + 10 x^{5} + 72 x^{4} + 2 x^{3} - 22 x^{2} - 3 x + 1$	$18$	[6,6]	$7^{12}\cdot 41^{3}\cdot 97^{3}$	$3$	$14.5654740959$	$583.9456841926774$	?	$S_4^3.A_4$ (as 18T840)	trivial	$2$	$11$	$2365.55106954$
18.6.870...433.3	$x^{18} - x^{17} - 2 x^{16} - 4 x^{15} + x^{14} + 20 x^{13} + 11 x^{12} - 42 x^{11} - 37 x^{10} + 53 x^{9} + 64 x^{8} - 35 x^{7} - 62 x^{6} + 7 x^{5} + 32 x^{4} + 2 x^{3} - 9 x^{2} - x + 1$	$18$	[6,6]	$7^{12}\cdot 41^{3}\cdot 97^{3}$	$3$	$14.5654740959$	$583.9456841926774$	?	$S_4^3.A_4$ (as 18T840)	trivial	$2$	$11$	$2381.43582564$
18.6.870...433.4	$x^{18} - 3 x^{17} + 3 x^{16} - 5 x^{15} + 2 x^{14} + 29 x^{13} - 51 x^{12} + 18 x^{11} + 32 x^{10} - 79 x^{9} + 86 x^{8} + 23 x^{7} - 121 x^{6} + 40 x^{5} + 67 x^{4} - 37 x^{3} - 17 x^{2} + 14 x - 1$	$18$	[6,6]	$7^{12}\cdot 41^{3}\cdot 97^{3}$	$3$	$14.5654740959$	$724.2181795323214$	?	$S_4^3.A_4$ (as 18T840)	trivial	$2$	$11$	$2377.01133348$
18.6.981...544.1	$x^{18} - 7 x^{16} + 19 x^{14} - 40 x^{12} + 90 x^{10} - 143 x^{8} + 123 x^{6} - 55 x^{4} + 12 x^{2} - 1$	$18$	[6,6]	$2^{24}\cdot 37^{6}\cdot 151^{2}$	$3$	$14.6627619978$		?	$A_4^3.(C_2\times S_4)$ (as 18T776)	trivial	$2$	$11$	$2723.81336754$
18.6.102...536.1	$x^{18} - 8 x^{15} - 12 x^{14} - 12 x^{13} - 6 x^{12} + 24 x^{11} + 18 x^{10} + 42 x^{9} - 6 x^{8} - 55 x^{6} - 6 x^{4} + 2 x^{3} + 30 x^{2} - 12 x + 1$	$18$	[6,6]	$2^{27}\cdot 3^{27}$	$2$	$14.6969384567$	$14.696938456699069$	?	$S_3 \times C_6$ (as 18T6)	trivial	$2$	$11$	$2758.583279525211$
18.6.111...521.1	$x^{18} - x^{17} - 16 x^{15} + 30 x^{13} + 51 x^{12} - 18 x^{11} - 87 x^{10} - 44 x^{9} + 26 x^{8} + 112 x^{7} - 22 x^{6} - 15 x^{5} - 40 x^{4} + 20 x^{3} + 10 x^{2} - 7 x + 1$	$18$	[6,6]	$11^{6}\cdot 29^{4}\cdot 31^{6}$	$3$	$14.7648416135$	$174.3047362787579$	?	$C_3^3:S_4$ (as 18T224)	trivial	$2$	$11$	$3150.74071844$
18.6.115...000.1	$x^{18} - 6 x^{16} + 15 x^{14} - 35 x^{12} + 75 x^{10} - 96 x^{8} + 124 x^{6} - 141 x^{4} + 63 x^{2} - 1$	$18$	[6,6]	$2^{18}\cdot 3^{24}\cdot 5^{6}$	$3$	$14.797272446$	$27.364761579423373$	?	$C_3\times S_4$ (as 18T33)	trivial	$2$	$11$	$2971.31779602$
18.6.118...625.1	$x^{18} - 5 x^{16} - x^{15} - x^{14} - 12 x^{13} + 21 x^{12} + 13 x^{11} - 53 x^{10} + 17 x^{9} + 13 x^{8} - 62 x^{7} + 43 x^{6} + 23 x^{5} - 42 x^{4} + x^{3} - 10 x^{2} - 12 x - 1$	$18$	[6,6]	$3^{8}\cdot 5^{4}\cdot 257^{6}$	$3$	$14.8146569626$	$202.81881339369772$	?	$C_3^3:S_4$ (as 18T224)	trivial	$2$	$11$	$2950.04141431$
18.6.135...112.1	$x^{18} - 6 x^{17} + 19 x^{16} - 36 x^{15} + 31 x^{14} + 32 x^{13} - 161 x^{12} + 318 x^{11} - 419 x^{10} + 376 x^{9} - 234 x^{8} + 78 x^{7} + 45 x^{6} - 60 x^{5} + 23 x^{4} - 4 x^{3} - 5 x^{2} + 2 x + 1$	$18$	[6,6]	$2^{27}\cdot 3^{6}\cdot 7^{12}$	$3$	$14.9273977519$	$17.926863604818365$	?	$S_3 \times C_6$ (as 18T6)	trivial	$2$	$11$	$3212.235626644976$
18.6.144...981.1	$x^{18} - x^{17} + 4 x^{16} + 4 x^{15} - 2 x^{14} + 12 x^{13} - 8 x^{12} - 12 x^{11} - 29 x^{10} - 52 x^{9} - 36 x^{8} - 46 x^{7} - 21 x^{6} - 2 x^{5} + 5 x^{4} + 11 x^{3} + 3 x^{2} + x + 1$	$18$	[6,6]	$3\cdot 11^{4}\cdot 37^{4}\cdot 47\cdot 139^{4}$	$5$	$14.9808495225$	$4211.915101066578$	?	$C_2^9.A_9$ (as 18T966)	trivial	$2$	$11$	$4227.82306897$
18.6.168...409.1	$x^{18} - x^{17} - 5 x^{16} + 3 x^{15} + 13 x^{14} - 8 x^{13} - 26 x^{12} + 35 x^{11} + 14 x^{10} - 67 x^{9} + 42 x^{8} + 42 x^{7} - 68 x^{6} + 5 x^{5} + 38 x^{4} - 11 x^{3} - 10 x^{2} + 3 x + 1$	$18$	[6,6]	$7^{12}\cdot 349397^{2}$	$2$	$15.1120383057$	$2163.008764492153$	?	$S_4\wr C_3$ (as 18T703)	trivial	$2$	$11$	$3567.45317255$
18.6.190...064.1	$x^{18} - 3 x^{17} + 11 x^{15} - 16 x^{14} - 6 x^{13} + 10 x^{12} + 67 x^{11} - 69 x^{10} - 55 x^{9} + 14 x^{8} + 79 x^{7} + 24 x^{6} - 71 x^{5} - 3 x^{4} + 19 x^{3} + 9 x^{2} - 11 x + 1$	$18$	[6,6]	$2^{12}\cdot 19^{6}\cdot 31^{4}\cdot 10709$	$4$	$15.213408043$	$7066.088178774977$	?	$C_2\times A_4^3.S_4$ (as 18T764)	trivial	$2$	$11$	$3762.84232634$
18.6.193...000.1	$x^{18} - 6 x^{17} + 15 x^{16} - 34 x^{15} + 93 x^{14} - 168 x^{13} + 166 x^{12} - 132 x^{11} + 102 x^{10} + 62 x^{9} - 201 x^{8} + 138 x^{7} - 83 x^{6} + 24 x^{5} + 51 x^{4} - 4 x^{3} - 30 x^{2} + 6 x + 1$	$18$	[6,6]	$2^{12}\cdot 3^{18}\cdot 5^{13}$	$3$	$15.2271837427$	$21.86770120822431$	?	$C_3^2:D_6$ (as 18T52)	trivial	$2$	$11$	$3813.681121584128$
18.6.193...761.1	$x^{18} - 2 x^{17} + 4 x^{16} - 11 x^{15} + 12 x^{14} - 27 x^{13} + 15 x^{12} - 29 x^{11} - 9 x^{10} + 3 x^{9} - 53 x^{8} + 16 x^{7} - 20 x^{6} - 32 x^{5} + 8 x^{4} - 15 x^{3} - 14 x^{2} + x + 1$	$18$	[6,6]	$97^{2}\cdot 453771377^{2}$	$2$	$15.2273105021$	$209799.4841962201$	?	$C_2^8.S_9$ (as 18T964)	trivial	$2$	$11$	$3597.42273821$
18.6.198...453.1	$x^{18} - 6 x^{17} + 15 x^{16} - 21 x^{15} + 12 x^{14} + 15 x^{13} - 42 x^{12} + 39 x^{11} - 21 x^{10} + 91 x^{9} - 327 x^{8} + 615 x^{7} - 708 x^{6} + 528 x^{5} - 240 x^{4} + 51 x^{3} + 6 x^{2} - 6 x + 1$	$18$	[6,6]	$3^{33}\cdot 71^{3}$	$2$	$15.2498425041$	$63.14681851677486$	?	$S_3^3:C_6$ (as 18T285)	trivial	$2$	$11$	$5158.92439734$
18.6.205...561.1	$x^{18} - 4 x^{17} - 2 x^{16} + 31 x^{15} - 31 x^{14} - 82 x^{13} + 171 x^{12} + 45 x^{11} - 353 x^{10} + 171 x^{9} + 311 x^{8} - 328 x^{7} - 49 x^{6} + 200 x^{5} - 85 x^{4} - 22 x^{3} + 39 x^{2} - 11 x - 1$	$18$	[6,6]	$7^{12}\cdot 41^{2}\cdot 97^{4}$	$3$	$15.2792391843$	$230.76847964399414$	?	$S_4^3.A_4$ (as 18T838)	trivial	$2$	$11$	$3703.63545834$
18.6.209...089.1	$x^{18} - 7 x^{17} + 18 x^{16} - 17 x^{15} - 11 x^{14} + 44 x^{13} - 58 x^{12} + 103 x^{11} - 267 x^{10} + 521 x^{9} - 674 x^{8} + 554 x^{7} - 214 x^{6} - 93 x^{5} + 194 x^{4} - 135 x^{3} + 52 x^{2} - 11 x + 1$	$18$	[6,6]	$7^{12}\cdot 73^{6}$	$2$	$15.2934797854$	$31.265121691698095$	?	$\GL(2,4)$ (as 18T90)	trivial	$2$	$11$	$4120.17595553$

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