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Label	Polynomial	Degree	Signature	Discriminant	Ram. prime count	Root discriminant	Galois root discriminant	CM field	Galois	Monogenic	Galois group	Class group	Narrow class group	Unit group torsion	Unit group rank	Regulator	Unit signature rank	Max $p$
12.4.719569994873.1	$x^{12} - 2 x^{11} - 4 x^{10} + 8 x^{9} + 8 x^{8} - 13 x^{7} - 10 x^{6} + 8 x^{5} + 8 x^{4} - 5 x^{2} - x + 1$	$12$	(4, 4)	$23^{4}\cdot 137^{3}$	$2$	$9.72947531322$	$192.04559203136515$			?	$C_4\wr S_3$ (as 12T150)	trivial	trivial	$2$	$7$	$10.9161102528$	$4$
12.4.734297685397.1	$x^{12} - x^{11} - 2 x^{10} + x^{9} + 2 x^{8} - x^{7} - x^{6} + x^{5} + 2 x^{4} - x^{3} - 2 x^{2} + x + 1$	$12$	(4, 4)	$157\cdot 68389^{2}$	$2$	$9.74591636037$	$3276.7473201331836$			✓	$C_2^6.S_6$ (as 12T293)	trivial	trivial	$2$	$7$	$11.0526095695$	$4$
12.4.750369026957.1	$x^{12} - 4 x^{11} + 3 x^{10} + 9 x^{9} - 17 x^{8} + 20 x^{6} - 10 x^{5} - 9 x^{4} + 6 x^{3} + 3 x^{2} - 2 x - 1$	$12$	(4, 4)	$11^{2}\cdot 29^{2}\cdot 53\cdot 373^{2}$	$4$	$9.76351598451$	$2511.2369462079837$			✓	$C_2^6.S_6$ (as 12T293)	trivial	trivial	$2$	$7$	$11.1891070241$	$4$
12.4.764131428301.1	$x^{12} - 2 x^{10} - x^{9} + 4 x^{8} + 2 x^{7} - 3 x^{5} - 5 x^{4} + 3 x^{3} + 4 x^{2} - x - 1$	$12$	(4, 4)	$764131428301$	$1$	$9.77831458615$	$874146.113816792$			✓	$S_{12}$ (as 12T301)	trivial	trivial	$2$	$7$	$11.3210883186$	$4$
12.4.777011613097.1	$x^{12} - 6 x^{11} + 19 x^{10} - 40 x^{9} + 62 x^{8} - 74 x^{7} + 67 x^{6} - 44 x^{5} + 16 x^{4} + 2 x^{3} - 8 x^{2} + 5 x - 1$	$12$	(4, 4)	$97\cdot 89501^{2}$	$2$	$9.79194485817$	$2946.4549886261625$			✓	$C_2^6.S_6$ (as 12T293)	trivial	trivial	$2$	$7$	$11.4375839875$	$4$
12.4.794230140625.1	$x^{12} - x^{9} - 4 x^{8} + x^{7} + 2 x^{6} + 2 x^{5} + x^{4} - x^{3} - 2 x^{2} - x + 1$	$12$	(4, 4)	$5^{6}\cdot 50830729$	$2$	$9.80984616644$	$15942.196994141052$			?	$S_6\wr C_2$ (as 12T299)	trivial	trivial	$2$	$7$	$11.5862174756$	$4$
12.4.796918902097.1	$x^{12} - 3 x^{11} + x^{10} + 3 x^{9} - 2 x^{8} + 2 x^{7} + x^{6} - 4 x^{5} - 2 x^{4} - x^{3} + x^{2} + 3 x + 1$	$12$	(4, 4)	$73\cdot 163^{2}\cdot 641^{2}$	$3$	$9.8126093767$	$2761.749264506103$			✓	$C_2^6.S_6$ (as 12T293)	trivial	trivial	$2$	$7$	$11.610459537$	$4$
12.4.802389895609.1	$x^{12} - 2 x^{11} - 2 x^{10} + 4 x^{9} + x^{8} - x^{7} - 2 x^{6} - x^{5} + 2 x^{4} + x^{3} - x^{2} - 2 x + 1$	$12$	(4, 4)	$107^{2}\cdot 70083841$	$2$	$9.81820556912$	$86596.5991653252$			?	$S_{12}$ (as 12T301)	trivial	trivial	$2$	$7$	$11.6497921311$	$4$
12.4.819345401329.1	$x^{12} - x^{11} - 2 x^{10} - x^{8} + x^{7} + 3 x^{6} + x^{5} - x^{4} - 2 x^{2} - x + 1$	$12$	(4, 4)	$7^{8}\cdot 13^{2}\cdot 29^{2}$	$3$	$9.83532959706$	$71.05086481765254$			?	$C_2^2\wr C_3$ (as 12T90)	trivial	trivial	$2$	$7$	$11.8025130454$	$4$
12.4.823612912893.1	$x^{12} - 3 x^{11} + 3 x^{10} + 2 x^{9} - 9 x^{8} + 12 x^{7} - 11 x^{6} + 6 x^{5} + 3 x^{4} - 12 x^{3} + 12 x^{2} - 6 x + 1$	$12$	(4, 4)	$3^{16}\cdot 19^{2}\cdot 53$	$3$	$9.83958833401$	$137.30185609932374$			?	$D_4\wr C_3$ (as 12T222)	trivial	trivial	$2$	$7$	$11.8319649083$	$4$
12.4.854660453125.1	$x^{12} - 2 x^{11} + 6 x^{9} - 6 x^{8} - 6 x^{7} + 14 x^{6} - 5 x^{5} - 9 x^{4} + 10 x^{3} - x^{2} - 4 x + 1$	$12$	(4, 4)	$5^{6}\cdot 54698269$	$2$	$9.86997685061$	$16537.573733773646$			?	$S_6\wr C_2$ (as 12T299)	trivial	trivial	$2$	$7$	$12.1177669565$	$4$
12.4.860539390625.1	$x^{12} - x^{11} - 2 x^{10} + 2 x^{9} - x^{8} - 3 x^{7} + 4 x^{6} + x^{5} - 2 x^{4} + 2 x^{3} + x^{2} - 1$	$12$	(4, 4)	$5^{6}\cdot 19^{2}\cdot 41\cdot 61^{2}$	$4$	$9.8756167941$	$487.4371754390508$			?	$S_4^2:D_4$ (as 12T260)	trivial	trivial	$2$	$7$	$12.1629516241$	$4$
12.4.877704785881.1	$x^{12} - 4 x^{11} + 4 x^{10} + 4 x^{9} - 11 x^{8} + 7 x^{7} - 2 x^{6} + 13 x^{5} - 30 x^{4} + 25 x^{3} - 11 x^{2} + 6 x - 1$	$12$	(4, 4)	$7^{2}\cdot 11^{2}\cdot 23^{6}$	$3$	$9.89188454733$	$92.15973973371901$			?	$C_2^2\wr S_3$ (as 12T139)	trivial	trivial	$2$	$7$	$12.338198218$	$4$
12.4.882697830400.1	$x^{12} - 4 x^{11} + 4 x^{10} + 4 x^{9} - 9 x^{8} + 2 x^{7} + 4 x^{6} - 2 x^{5} - x^{4} + 2 x^{3} + x^{2} - 2 x - 1$	$12$	(4, 4)	$2^{18}\cdot 5^{2}\cdot 367^{2}$	$3$	$9.89656173762$	$121.16104984688768$			✓	$S_4^2:C_2^2$ (as 12T236)	trivial	trivial	$2$	$7$	$12.36210531$	$4$
12.4.886856703125.1	$x^{12} - 2 x^{9} - 5 x^{8} - 5 x^{7} - 7 x^{6} - 5 x^{5} - 5 x^{4} - 2 x^{3} + 1$	$12$	(4, 4)	$5^{6}\cdot 29\cdot 1399^{2}$	$3$	$9.90043904853$	$450.3942717220103$			?	$S_4^2:D_4$ (as 12T260)	trivial	trivial	$2$	$7$	$12.4033571629$	$4$
12.4.888218971933.1	$x^{12} - 6 x^{11} + 18 x^{10} - 35 x^{9} + 47 x^{8} - 44 x^{7} + 19 x^{6} + 16 x^{5} - 40 x^{4} + 39 x^{3} - 23 x^{2} + 8 x - 1$	$12$	(4, 4)	$23^{4}\cdot 61^{2}\cdot 853$	$3$	$9.90170546632$	$1093.9648074778274$			?	$D_4^3:S_3$ (as 12T250)	trivial	trivial	$2$	$7$	$12.3793836537$	$4$
12.4.892226390625.1	$x^{12} - x^{11} - 3 x^{10} + 2 x^{9} + 4 x^{8} - 4 x^{7} - 4 x^{6} + 9 x^{5} + 6 x^{4} - 6 x^{3} - 6 x^{2} + 1$	$12$	(4, 4)	$3^{4}\cdot 5^{6}\cdot 89^{3}$	$3$	$9.905420622$	$36.53765181289022$			?	$S_3^2:C_2^2$ (as 12T78)	trivial	trivial	$2$	$7$	$12.4353698707$	$4$
12.4.913034947181.1	$x^{12} - 2 x^{11} - 2 x^{10} + 4 x^{9} + 5 x^{8} - 7 x^{7} - 7 x^{6} + 7 x^{5} + 6 x^{4} - 4 x^{3} - 4 x^{2} + x + 1$	$12$	(4, 4)	$7^{8}\cdot 251\cdot 631$	$3$	$9.92446908893$	$1456.2979350430724$			✓	$S_4\wr C_3$ (as 12T292)	trivial	trivial	$2$	$7$	$12.6158440079$	$4$
12.4.915636578125.1	$x^{12} + x^{10} - x^{9} - 3 x^{8} + x^{7} + x^{6} + 3 x^{5} + 3 x^{4} - 3 x^{3} - 4 x^{2} + x + 1$	$12$	(4, 4)	$5^{6}\cdot 181\cdot 569^{2}$	$3$	$9.92682260844$	$717.5966833814102$			✓	$S_4^2:D_4$ (as 12T260)	trivial	trivial	$2$	$7$	$12.6278146326$	$4$
12.4.920963140625.1	$x^{12} - 5 x^{10} - x^{9} + 8 x^{8} + 2 x^{7} - 4 x^{6} + x^{5} - 3 x^{3} - x^{2} + 2 x + 1$	$12$	(4, 4)	$5^{6}\cdot 11^{2}\cdot 41\cdot 109^{2}$	$4$	$9.93162212737$	$495.77716768725844$			?	$S_4^2:D_4$ (as 12T260)	trivial	trivial	$2$	$7$	$12.6658161756$	$4$
12.4.933397515625.1	$x^{12} - x^{11} - x^{9} - x^{8} + 2 x^{7} - x^{6} + 2 x^{5} - x^{4} - x^{3} - x + 1$	$12$	(4, 4)	$5^{6}\cdot 59^{2}\cdot 131^{2}$	$3$	$9.94272787777$	$196.58331567048106$			✓	$S_4\wr C_2$ (as 12T203)	trivial	trivial	$2$	$7$	$12.8016898717$	$4$
12.4.936468877312.1	$x^{12} - 5 x^{10} - 6 x^{9} + 11 x^{8} + 20 x^{7} - 6 x^{6} - 28 x^{5} - 6 x^{4} + 18 x^{3} + 5 x^{2} - 4 x - 1$	$12$	(4, 4)	$2^{12}\cdot 19\cdot 23^{4}\cdot 43$	$4$	$9.94545016864$	$387.7215495687595$			?	$C_2\wr S_4$ (as 12T227)	trivial	trivial	$2$	$7$	$12.8335516501$	$4$
12.4.937338265625.1	$x^{12} - 2 x^{11} + 2 x^{10} + x^{9} - 8 x^{8} + 9 x^{7} - 8 x^{5} + 14 x^{4} - 3 x^{3} - 9 x^{2} + 3 x + 1$	$12$	(4, 4)	$5^{6}\cdot 89\cdot 821^{2}$	$3$	$9.94621926176$	$604.4377552734442$			?	$S_4^2:D_4$ (as 12T260)	trivial	trivial	$2$	$7$	$12.8832457646$	$4$
12.4.949704822784.1	$x^{12} - 2 x^{11} + 4 x^{10} - 2 x^{9} - 4 x^{8} + 10 x^{7} - 15 x^{6} + 10 x^{5} - 4 x^{4} - 2 x^{3} + 4 x^{2} - 2 x + 1$	$12$	(4, 4)	$2^{12}\cdot 15227^{2}$	$2$	$9.95708895253$	$349.02148930975585$			?	$C_2^5:S_6$ (as 12T285)	trivial	trivial	$2$	$7$	$12.9229563342$	$4$
12.4.953506996597.1	$x^{12} - 3 x^{10} - 4 x^{9} + 6 x^{8} + 7 x^{7} - 7 x^{6} - 7 x^{5} + 6 x^{4} + 4 x^{3} - 3 x^{2} + 1$	$12$	(4, 4)	$23^{4}\cdot 53^{2}\cdot 1213$	$3$	$9.96040483293$	$1215.996299336474$			?	$D_4^3:S_3$ (as 12T250)	trivial	trivial	$2$	$7$	$12.9705074135$	$4$
12.4.960645015625.1	$x^{12} - 3 x^{11} + 2 x^{10} + 2 x^{9} - 4 x^{8} + x^{7} + x^{6} + x^{5} - 4 x^{4} + 2 x^{3} + 2 x^{2} - 3 x + 1$	$12$	(4, 4)	$5^{6}\cdot 7841^{2}$	$2$	$9.96659730416$	$198.00252523642217$			✓	$S_4\wr C_2$ (as 12T203)	trivial	trivial	$2$	$7$	$12.986808468$	$4$
12.4.968117620736.1	$x^{12} - 2 x^{11} - x^{10} + 4 x^{9} + 4 x^{8} - 14 x^{7} + 5 x^{6} + 14 x^{5} - 15 x^{4} + 8 x^{2} - 2 x - 1$	$12$	(4, 4)	$2^{12}\cdot 7^{8}\cdot 41$	$3$	$9.97303501263$	$78.8121389064205$			?	$D_4\wr C_3$ (as 12T222)	trivial	trivial	$2$	$7$	$13.0571131914$	$4$
12.4.972292630401.1	$x^{12} - 4 x^{11} + 5 x^{10} + 3 x^{9} - 20 x^{8} + 30 x^{7} - 12 x^{6} - 24 x^{5} + 43 x^{4} - 30 x^{3} + 8 x^{2} + 2 x - 1$	$12$	(4, 4)	$3^{4}\cdot 331^{4}$	$2$	$9.9766120095$	$31.51190251317746$			?	$C_4^2:S_3$ (as 12T62)	trivial	trivial	$2$	$7$	$13.1676614702$	$4$
12.4.978890140625.1	$x^{12} - x^{11} - x^{10} + 2 x^{9} + 6 x^{8} - 8 x^{7} - 5 x^{6} + 8 x^{5} - x^{4} - 4 x^{3} - x^{2} + 2 x + 1$	$12$	(4, 4)	$5^{6}\cdot 89\cdot 839^{2}$	$3$	$9.98223591463$	$611.0278226071215$			?	$S_4^2:D_4$ (as 12T260)	trivial	trivial	$2$	$7$	$13.1409271754$	$4$
12.4.1085603537929.1	$x^{12} - 6 x^{11} + 15 x^{10} - 20 x^{9} + 16 x^{8} - 10 x^{7} + 11 x^{6} - 16 x^{5} + 12 x^{4} - 2 x^{3} - 6 x^{2} + 5 x - 1$	$12$	(4, 4)	$23^{2}\cdot 89^{2}\cdot 509^{2}$	$3$	$10.0686815236$	$1020.7462956092469$			?	$C_2^5:S_6$ (as 12T285)	trivial	trivial	$2$	$7$	$13.9410418646$	$4$
12.4.1095605453125.1	$x^{12} - 2 x^{11} - x^{10} + 8 x^{9} - 9 x^{8} + x^{7} + 9 x^{6} - 9 x^{5} + 4 x^{4} + x^{3} - 2 x^{2} + x - 1$	$12$	(4, 4)	$5^{6}\cdot 70118749$	$2$	$10.0763794943$	$18724.148712291302$			?	$S_6\wr C_2$ (as 12T299)	trivial	trivial	$2$	$7$	$14.0419471608$	$4$
12.4.1115674640384.1	$x^{12} - 2 x^{11} - x^{10} + 8 x^{9} - 8 x^{8} - 4 x^{7} + 16 x^{6} - 10 x^{5} - 5 x^{4} + 10 x^{3} - 3 x^{2} - 2 x + 1$	$12$	(4, 4)	$2^{18}\cdot 593\cdot 7177$	$3$	$10.091633353502836$	$5835.039674243869$			✓	$S_6\wr C_2$ (as 12T299)	trivial	trivial	$2$	$7$	$14.246262892000614$	$4$
12.4.1153744515625.1	$x^{12} - 2 x^{10} - 2 x^{9} + x^{8} + 4 x^{6} + 2 x^{5} - 6 x^{4} - 3 x^{3} + x^{2} + 2 x + 1$	$12$	(4, 4)	$5^{6}\cdot 13^{2}\cdot 661^{2}$	$3$	$10.1198902854$	$207.28000385951367$			?	$S_4^2:C_2^2$ (as 12T236)	trivial	trivial	$2$	$7$	$14.5845010587$	$4$
12.4.1158384877741.1	$x^{12} - 2 x^{11} - 2 x^{10} + 4 x^{9} + 2 x^{8} - 3 x^{7} + 3 x^{6} - 10 x^{4} + x^{3} + 7 x^{2} + x - 1$	$12$	(4, 4)	$7^{8}\cdot 13^{2}\cdot 29\cdot 41$	$4$	$10.1232758999$	$454.9475146044758$			?	$D_4\wr C_3$ (as 12T222)	trivial	trivial	$2$	$7$	$14.4919343322$	$4$
12.4.1167128033569.1	$x^{12} - 3 x^{11} + 3 x^{10} + 3 x^{9} - 9 x^{8} + 8 x^{7} - 8 x^{6} - x^{5} + 3 x^{3} + 4 x^{2} - x - 1$	$12$	(4, 4)	$29^{2}\cdot 37253^{2}$	$2$	$10.1296212766$	$1039.3926110955379$			?	$C_2^5:S_6$ (as 12T285)	trivial	trivial	$2$	$7$	$14.6831452655$	$4$
12.4.1172328665957.1	$x^{12} - 3 x^{11} + 2 x^{10} + 3 x^{9} - 8 x^{8} + 4 x^{7} + 9 x^{6} - 7 x^{5} - 3 x^{4} + x^{3} - 2 x^{2} + x + 1$	$12$	(4, 4)	$331^{3}\cdot 32327$	$2$	$10.1333750173$	$3271.121673065678$			?	$S_3\wr S_4$ (as 12T289)	trivial	trivial	$2$	$7$	$14.6749881483$	$4$
12.4.1184054284288.1	$x^{12} - 2 x^{11} - 2 x^{9} - 2 x^{8} + 16 x^{7} + x^{6} - 16 x^{5} - 2 x^{4} + 2 x^{3} + 2 x + 1$	$12$	(4, 4)	$2^{12}\cdot 23^{4}\cdot 1033$	$3$	$10.1417827024$	$435.9724761954589$			?	$C_2\wr S_4$ (as 12T227)	trivial	trivial	$2$	$7$	$14.7330976825$	$4$
12.4.1237419323253.1	$x^{12} - x^{11} - 5 x^{10} + 5 x^{9} + 7 x^{8} - 8 x^{7} + x^{6} + 2 x^{5} - 9 x^{4} + 4 x^{3} + 6 x^{2} - x - 1$	$12$	(4, 4)	$3^{2}\cdot 31^{4}\cdot 53^{3}$	$3$	$10.1791084428$	$189.42983303657235$			✓	$C_4\wr S_3$ (as 12T150)	trivial	trivial	$2$	$7$	$15.5540049247$	$4$
12.4.1255569610725.1	$x^{12} - x^{11} + 2 x^{10} - 3 x^{9} - 4 x^{8} + 3 x^{7} - 3 x^{6} + 3 x^{5} + 2 x^{4} + 8 x^{3} - 16 x^{2} + 8 x - 1$	$12$	(4, 4)	$3^{3}\cdot 5^{2}\cdot 17^{2}\cdot 23^{5}$	$4$	$10.1914677135$	$76.58328799418317$			?	$C_2\wr D_6$ (as 12T186)	trivial	trivial	$2$	$7$	$15.2646141632$	$4$
12.4.1263657015625.1	$x^{12} - x^{11} - x^{10} - 3 x^{9} + x^{8} + 2 x^{7} - x^{6} + 11 x^{5} - 11 x^{4} + 20 x^{3} - 7 x^{2} + 13 x + 1$	$12$	(4, 4)	$5^{6}\cdot 17^{2}\cdot 23^{4}$	$3$	$10.19692209$	$44.21538193886829$			?	$C_2^2\times S_4$ (as 12T48)	trivial	trivial	$2$	$7$	$15.3002273809$	$4$
12.4.1270162810225.1	$x^{12} - x^{11} - 3 x^{10} + 5 x^{9} + 3 x^{8} - 6 x^{7} - 4 x^{6} - 3 x^{5} + 4 x^{4} + 7 x^{3} - 3 x - 1$	$12$	(4, 4)	$5^{2}\cdot 17^{2}\cdot 13259^{2}$	$3$	$10.2012866086$	$1061.6096269344962$			?	$C_2^5:S_6$ (as 12T285)	trivial	trivial	$2$	$7$	$15.4250368691$	$4$
12.4.1286838403321.1	$x^{12} - 2 x^{11} + 3 x^{9} - 3 x^{8} - x^{7} + 3 x^{6} - x^{5} - 3 x^{4} + 3 x^{3} - 2 x + 1$	$12$	(4, 4)	$1134389^{2}$	$1$	$10.2123808154$	$1065.0769925221368$			✓	$C_2^5:S_6$ (as 12T285)	trivial	trivial	$2$	$7$	$15.567511467$	$4$
12.4.1325664390625.1	$x^{12} - x^{11} - 2 x^{10} + 3 x^{9} + x^{8} - 5 x^{6} + 9 x^{4} - 4 x^{3} - 2 x^{2} + 2 x - 1$	$12$	(4, 4)	$5^{6}\cdot 61^{2}\cdot 151^{2}$	$3$	$10.2377094328$	$214.60428700284623$			?	$S_4\wr C_2$ (as 12T203)	trivial	trivial	$2$	$7$	$15.8555961789$	$4$
12.4.1337647129637.1	$x^{12} - 3 x^{11} + 2 x^{10} + 5 x^{9} - 17 x^{8} + 27 x^{7} - 28 x^{6} + 14 x^{5} + 3 x^{4} - 10 x^{3} + 4 x^{2} + 2 x - 1$	$12$	(4, 4)	$7^{8}\cdot 13^{2}\cdot 1373$	$3$	$10.2453892601$	$488.8837906590181$			?	$D_4\wr C_3$ (as 12T222)	trivial	trivial	$2$	$7$	$15.8145764017$	$4$
12.4.1338966703125.1	$x^{12} - 3 x^{10} - x^{9} + 5 x^{8} + 3 x^{7} - 9 x^{6} - 3 x^{5} + 5 x^{4} - x^{3} + x + 1$	$12$	(4, 4)	$3^{4}\cdot 5^{6}\cdot 29\cdot 191^{2}$	$4$	$10.246231126028297$	$288.24468772208104$			?	$S_4^2:D_4$ (as 12T260)	trivial	trivial	$2$	$7$	$15.963844346326956$	$4$
12.4.1365453235513.1	$x^{12} - 2 x^{10} - 4 x^{8} - x^{7} + 8 x^{6} - 2 x^{4} - 2 x^{3} - x^{2} + 3 x - 1$	$12$	(4, 4)	$257^{4}\cdot 313$	$2$	$10.2629702323$	$283.6212262860451$			✓	$C_2\wr S_4$ (as 12T227)	trivial	trivial	$2$	$7$	$16.1009957761$	$4$
12.4.1372119390625.1	$x^{12} - 2 x^{10} - x^{9} + x^{7} + 4 x^{6} - 2 x^{5} - 5 x^{4} + 3 x^{3} + 3 x^{2} - 1$	$12$	(4, 4)	$5^{6}\cdot 9371^{2}$	$2$	$10.2671362449$	$216.4601579968009$			?	$S_4\wr C_2$ (as 12T203)	trivial	trivial	$2$	$7$	$16.1584169248$	$4$
12.4.1400215984201.1	$x^{12} - x^{10} - 2 x^{9} - 3 x^{8} - 4 x^{7} + 2 x^{6} + 11 x^{5} + 10 x^{4} - x^{3} - 8 x^{2} - 5 x - 1$	$12$	(4, 4)	$331^{3}\cdot 38611$	$2$	$10.2844937657$	$3574.94629330288$			✓	$S_3\wr S_4$ (as 12T289)	trivial	trivial	$2$	$7$	$16.491962935$	$4$
12.4.1417991703125.1	$x^{12} - 3 x^{11} + x^{10} + 6 x^{9} - 10 x^{8} + 8 x^{7} + 2 x^{6} - 14 x^{5} + 11 x^{4} - 3 x^{2} + 3 x - 1$	$12$	(4, 4)	$5^{6}\cdot 29^{3}\cdot 61^{2}$	$3$	$10.2953110914$	$94.04786015641186$			?	$D_6\wr C_2$ (as 12T125)	trivial	trivial	$2$	$7$	$16.4007494396$	$4$
12.4.1421487203125.1	$x^{12} - x^{10} - x^{9} + 2 x^{8} - 2 x^{7} - 4 x^{6} + 6 x^{5} - 2 x^{4} - 3 x^{3} + 4 x^{2} - 1$	$12$	(4, 4)	$5^{6}\cdot 11^{3}\cdot 68351$	$3$	$10.2974236252$	$1938.8927252429414$			?	$S_3\wr D_4$ (as 12T274)	trivial	trivial	$2$	$7$	$16.4231570151$	$4$

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