Number field search results

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

Results (1-50 of 18962 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
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	$2$	$7$	$10.9161102528$
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	$2$	$7$	$11.0526095695$
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	$2$	$7$	$11.1891070241$
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	$2$	$7$	$11.3210883186$
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	$2$	$7$	$11.4375839875$
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	$2$	$7$	$11.5862174756$
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	$2$	$7$	$11.610459537$
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	$2$	$7$	$11.6497921311$
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	$2$	$7$	$11.8025130454$
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	$2$	$7$	$11.8319649083$
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	$2$	$7$	$12.1177669565$
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	$2$	$7$	$12.1629516241$
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	$2$	$7$	$12.338198218$
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	$2$	$7$	$12.36210531$
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	$2$	$7$	$12.4033571629$
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]	$23^{4}\cdot 61^{2}\cdot 853$	$3$	$9.90170546632$	$1093.9648074778274$			?	$C_2\wr (C_2\times S_4)$ (as 12T250)	trivial	$2$	$7$	$12.3793836537$
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	$2$	$7$	$12.4353698707$
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	$2$	$7$	$12.6158440079$
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	$2$	$7$	$12.6278146326$
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	$2$	$7$	$12.6658161756$
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	$2$	$7$	$12.8016898717$
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	$2$	$7$	$12.8335516501$
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	$2$	$7$	$12.8832457646$
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	$2$	$7$	$12.9229563342$
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]	$23^{4}\cdot 53^{2}\cdot 1213$	$3$	$9.96040483293$	$1215.996299336474$			?	$C_2\wr (C_2\times S_4)$ (as 12T250)	trivial	$2$	$7$	$12.9705074135$
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	$2$	$7$	$12.986808468$
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	$2$	$7$	$13.0571131914$
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	$2$	$7$	$13.1676614702$
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	$2$	$7$	$13.1409271754$
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	$2$	$7$	$13.9410418646$
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	$2$	$7$	$14.0419471608$
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	$2$	$7$	$14.246262892000614$
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	$2$	$7$	$14.5845010587$
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	$2$	$7$	$14.4919343322$
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	$2$	$7$	$14.6831452655$
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	$2$	$7$	$14.6749881483$
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	$2$	$7$	$14.7330976825$
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	$2$	$7$	$15.5540049247$
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	$2$	$7$	$15.2646141632$
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	$2$	$7$	$15.3002273809$
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	$2$	$7$	$15.4250368691$
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	$2$	$7$	$15.567511467$
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	$2$	$7$	$15.8555961789$
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	$2$	$7$	$15.8145764017$
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	$2$	$7$	$15.963844346326956$
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	$2$	$7$	$16.1009957761$
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	$2$	$7$	$16.1584169248$
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	$2$	$7$	$16.491962935$
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	$2$	$7$	$16.4007494396$
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	$2$	$7$	$16.4231570151$