Number field search results

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

Results (1-50 of 21854 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
12.2.167630295667.1	$x^{12} - 3 x^{11} + 4 x^{10} - x^{9} - 6 x^{8} + 15 x^{7} - 19 x^{6} + 15 x^{5} - 6 x^{4} - x^{3} + 4 x^{2} - 3 x + 1$	$12$	[2,5]	$-\,29^{2}\cdot 43\cdot 2153^{2}$	$3$	$8.61713127762$	$1638.5331855046452$			✓	$C_2^6.S_6$ (as 12T293)	trivial	$2$	$6$	$3.5044254879$
12.2.168661105243.1	$x^{12} - 5 x^{11} + 12 x^{10} - 16 x^{9} + 12 x^{8} - 4 x^{7} + x^{6} - 3 x^{5} + 4 x^{4} - 3 x^{3} + x^{2} - 1$	$12$	[2,5]	$-\,67\cdot 131^{2}\cdot 383^{2}$	$3$	$8.62153466041$	$1833.46420744993$			✓	$C_2^6.S_6$ (as 12T293)	trivial	$2$	$6$	$3.51670744388$
12.2.173809422763.1	$x^{12} - 2 x^{11} + 3 x^{10} - 2 x^{9} - 2 x^{8} + 4 x^{7} - 2 x^{5} + 4 x^{3} - 3 x^{2} - x + 1$	$12$	[2,5]	$-\,31^{4}\cdot 53^{2}\cdot 67$	$3$	$8.64316445422$	$331.7845686586403$			?	$C_2\wr (C_2\times S_4)$ (as 12T250)	trivial	$2$	$6$	$3.58278358615$
12.2.175113024319.1	$x^{12} - 4 x^{11} + 8 x^{10} - 9 x^{9} + 4 x^{8} + 5 x^{7} - 16 x^{6} + 23 x^{5} - 24 x^{4} + 19 x^{3} - 12 x^{2} + 5 x - 1$	$12$	[2,5]	$-\,23^{4}\cdot 79\cdot 89^{2}$	$3$	$8.64854807832$	$402.1355492865559$			?	$C_2\wr (C_2\times S_4)$ (as 12T250)	trivial	$2$	$6$	$3.59783369219$
12.2.175122415616.1	$x^{12} - 4 x^{11} + 10 x^{10} - 16 x^{9} + 17 x^{8} - 6 x^{7} - 12 x^{6} + 30 x^{5} - 37 x^{4} + 30 x^{3} - 17 x^{2} + 6 x - 1$	$12$	[2,5]	$-\,2^{18}\cdot 71\cdot 97^{2}$	$3$	$8.64858672911$	$234.72537144501445$			?	$S_4^2:D_4$ (as 12T260)	trivial	$2$	$6$	$3.6007962841$
12.2.177788874752.1	$x^{12} - 4 x^{9} + 3 x^{8} - 4 x^{7} + 11 x^{6} - 8 x^{5} + 8 x^{4} - 14 x^{3} + 13 x^{2} - 6 x + 1$	$12$	[2,5]	$-\,2^{12}\cdot 31^{4}\cdot 47$	$3$	$8.65948468434$	$107.96295661012624$			?	$C_2\wr S_4$ (as 12T227)	trivial	$2$	$6$	$3.63511170932$
12.2.204800642687.1	$x^{12} - 3 x^{11} + 5 x^{10} - 3 x^{9} - 4 x^{8} + 12 x^{7} - 15 x^{6} + 12 x^{5} - 4 x^{4} - 3 x^{3} + 5 x^{2} - 3 x + 1$	$12$	[2,5]	$-\,23\cdot 197^{2}\cdot 479^{2}$	$3$	$8.76215523154$	$1473.2104398218198$			✓	$C_2^6.S_6$ (as 12T293)	trivial	$2$	$6$	$3.96195936431$
12.2.205567038859.1	$x^{12} - x^{11} + 2 x^{10} + x^{8} + 4 x^{7} - 5 x^{6} + 4 x^{5} - 8 x^{4} + 4 x^{3} - 4 x^{2} + 2 x - 1$	$12$	[2,5]	$-\,7^{8}\cdot 13^{2}\cdot 211$	$3$	$8.7648830029$	$191.65122394707694$			?	$D_4\wr C_3$ (as 12T222)	trivial	$2$	$6$	$3.97256263188$
12.2.206487484375.1	$x^{12} - x^{11} + 2 x^{10} + x^{9} - 3 x^{8} + 8 x^{7} - 13 x^{6} + 16 x^{5} - 17 x^{4} + 13 x^{3} - 8 x^{2} + 3 x - 1$	$12$	[2,5]	$-\,5^{6}\cdot 79\cdot 409^{2}$	$3$	$8.76814677513$	$401.9390501058587$			?	$S_4^2:D_4$ (as 12T260)	trivial	$2$	$6$	$3.98211224603$
12.2.208976546875.1	$x^{12} - 2 x^{11} + 4 x^{10} - 5 x^{9} + 4 x^{8} + x^{7} - 9 x^{6} + 18 x^{5} - 22 x^{4} + 19 x^{3} - 12 x^{2} + 5 x - 1$	$12$	[2,5]	$-\,5^{6}\cdot 19\cdot 839^{2}$	$3$	$8.7769063085$	$282.32073958531635$			✓	$S_4^2:D_4$ (as 12T260)	trivial	$2$	$6$	$4.01927343849$
12.2.225117671875.1	$x^{12} - x^{10} - x^{9} - x^{8} + 3 x^{7} + 3 x^{6} - 2 x^{4} - 2 x^{3} - 1$	$12$	[2,5]	$-\,5^{6}\cdot 179\cdot 80489$	$3$	$8.83149306815$	$8487.499926362298$			?	$S_6\wr C_2$ (as 12T299)	trivial	$2$	$6$	$4.20942666663$
12.2.233544944483.1	$x^{12} - 3 x^{11} + 2 x^{10} + 5 x^{9} - 9 x^{8} + 3 x^{7} + 6 x^{6} - 7 x^{5} + 3 x^{4} + x^{3} - x^{2} + x - 1$	$12$	[2,5]	$-\,23^{4}\cdot 101\cdot 8263$	$3$	$8.8585819242$	$4381.204058247002$			✓	$A_4^3.(C_2\times S_4)$ (as 12T294)	trivial	$2$	$6$	$4.29199444222$
12.2.238362687139.1	$x^{12} - 2 x^{11} + 4 x^{10} - 4 x^{9} + x^{8} + 3 x^{7} - 8 x^{6} + 7 x^{5} - 3 x^{4} - 2 x^{3} + 4 x^{2} - 3 x + 1$	$12$	[2,5]	$-\,23^{4}\cdot 317\cdot 2687$	$3$	$8.87366827443$	$4426.162785076934$			✓	$A_4^3.(C_2\times S_4)$ (as 12T294)	trivial	$2$	$6$	$4.36197960563$
12.2.239557046875.1	$x^{12} - x^{10} - x^{9} + 2 x^{7} - 2 x^{6} + x^{4} + x^{3} - x + 1$	$12$	[2,5]	$-\,5^{6}\cdot 19\cdot 806929$	$3$	$8.87736505338$	$8755.470004517176$			?	$S_6\wr C_2$ (as 12T299)	trivial	$2$	$6$	$4.3666138828$
12.2.247087671875.1	$x^{12} - x^{11} - 3 x^{9} + x^{7} + 3 x^{6} + x^{5} - 3 x^{3} - x + 1$	$12$	[2,5]	$-\,5^{6}\cdot 11^{3}\cdot 109^{2}$	$3$	$8.9002920261$	$77.42738533619743$			✓	$D_6\wr C_2$ (as 12T125)	trivial	$2$	$6$	$4.50528335209$
12.2.255609008128.1	$x^{12} - 2 x^{11} + 3 x^{10} - 4 x^{9} + 7 x^{8} - 8 x^{7} - 2 x^{6} + 18 x^{5} - 28 x^{4} + 22 x^{3} - 11 x^{2} + 4 x - 1$	$12$	[2,5]	$-\,2^{12}\cdot 23^{4}\cdot 223$	$3$	$8.92547517214$	$202.56357026869367$			?	$C_2\wr S_4$ (as 12T227)	trivial	$2$	$6$	$4.5370381911$
12.2.257978421875.1	$x^{12} - 2 x^{11} + 2 x^{9} - 5 x^{7} + 10 x^{6} - 16 x^{5} + 20 x^{4} - 19 x^{3} + 12 x^{2} - 5 x + 1$	$12$	[2,5]	$-\,5^{6}\cdot 23^{4}\cdot 59$	$3$	$8.93234074331$	$82.37111144084436$			?	$C_2\wr D_6$ (as 12T193)	trivial	$2$	$6$	$4.57996864178$
12.2.266846228071.1	$x^{12} - x^{11} + 2 x^{10} - 3 x^{9} + 3 x^{8} - 4 x^{7} + 3 x^{6} - 4 x^{5} + 3 x^{4} - 3 x^{3} + 2 x^{2} - x + 1$	$12$	[2,5]	$-\,31\cdot 92779^{2}$	$2$	$8.95753311463$	$1695.9212835506253$			✓	$C_2^6.S_6$ (as 12T293)	trivial	$2$	$6$	$4.68688998752$
12.2.273636802651.1	$x^{12} - x^{11} + 5 x^{10} - 4 x^{9} + 12 x^{8} - 6 x^{7} + 15 x^{6} - 6 x^{5} + 9 x^{4} - 5 x^{3} + x^{2} - 3 x - 1$	$12$	[2,5]	$-\,283^{3}\cdot 12073$	$2$	$8.97631068037$	$1848.420677226913$			?	$S_3\wr S_4$ (as 12T289)	trivial	$2$	$6$	$4.7852559363$
12.2.279198105664.1	$x^{12} - 5 x^{10} + 9 x^{8} - 7 x^{6} + x^{4} + 3 x^{2} - 1$	$12$	[2,5]	$-\,2^{6}\cdot 257^{4}$	$2$	$8.99137350807$	$53.92238017965345$			?	$C_2\wr S_4$ (as 12T227)	trivial	$2$	$6$	$4.94368204571$
12.2.288323843827.1	$x^{12} - 3 x^{11} + 8 x^{9} - 6 x^{8} - 7 x^{7} + 10 x^{6} + x^{5} - 7 x^{4} + x^{3} + 4 x^{2} - 1$	$12$	[2,5]	$-\,283^{3}\cdot 12721$	$2$	$9.01550475138$	$1897.3779275621396$			?	$S_3\wr S_4$ (as 12T289)	trivial	$2$	$6$	$4.93877212902$
12.2.293890894259.1	$x^{12} - x^{9} - x^{4} + x + 1$	$12$	[2,5]	$-\,103\cdot 2853309653$	$2$	$9.02988412951$	$542117.0484858413$			✓	$S_{12}$ (as 12T301)	trivial	$2$	$6$	$4.93923668618$
12.2.299095170283.1	$x^{12} - 2 x^{11} + 4 x^{10} - x^{9} - 2 x^{8} + 6 x^{7} - 4 x^{6} - 2 x^{5} + 2 x^{4} - 2 x^{3} - 2 x^{2} + 1$	$12$	[2,5]	$-\,7^{8}\cdot 13^{2}\cdot 307$	$3$	$9.04310242902$	$231.1743031850907$			?	$D_4\wr C_3$ (as 12T222)	trivial	$2$	$6$	$4.96264024524$
12.2.307980921875.1	$x^{12} - 2 x^{11} + 3 x^{10} - 7 x^{9} + 12 x^{8} - 12 x^{7} + 13 x^{6} - 12 x^{5} + 5 x^{4} + 2 x^{3} - 3 x^{2} + 2 x - 1$	$12$	[2,5]	$-\,5^{6}\cdot 11^{3}\cdot 59\cdot 251$	$4$	$9.06519153456$	$902.4937672914976$			?	$S_3\wr D_4$ (as 12T274)	trivial	$2$	$6$	$5.1470744096$
12.2.314972378176.1	$x^{12} - x^{10} - 3 x^{8} + x^{6} + 3 x^{4} - x^{2} - 1$	$12$	[2,5]	$-\,2^{6}\cdot 31^{4}\cdot 73^{2}$	$3$	$9.08216468198$	$95.14199913813037$			?	$C_2\wr D_6$ (as 12T186)	trivial	$2$	$6$	$5.32083463663$
12.2.327779546875.1	$x^{12} - 2 x^{11} + 2 x^{10} - 3 x^{9} + x^{8} + x^{7} + x^{4} - x^{3} + x^{2} + x - 1$	$12$	[2,5]	$-\,5^{6}\cdot 11^{3}\cdot 15761$	$3$	$9.11237997258$	$931.0504819825829$			?	$S_3\wr D_4$ (as 12T274)	trivial	$2$	$6$	$5.41339781061$
12.2.336393921875.1	$x^{12} - x^{11} - x^{10} - x^{9} + 3 x^{8} - x^{7} - x^{6} - x^{5} + 3 x^{4} - x^{3} - x^{2} - x + 1$	$12$	[2,5]	$-\,5^{6}\cdot 11\cdot 1399^{2}$	$3$	$9.13210041657$	$277.3896176860266$			✓	$S_4^2:D_4$ (as 12T260)	trivial	$2$	$6$	$5.43541349035$
12.2.341962230519.1	$x^{12} - 4 x^{11} + 10 x^{10} - 20 x^{9} + 31 x^{8} - 43 x^{7} + 52 x^{6} - 56 x^{5} + 52 x^{4} - 39 x^{3} + 21 x^{2} - 7 x + 1$	$12$	[2,5]	$-\,3^{3}\cdot 7^{8}\cdot 13^{3}$	$3$	$9.14460277171$	$43.39271609609281$			?	$C_4^3:C_6$ (as 12T141)	trivial	$2$	$6$	$5.44076103214$
12.2.349257427087.1	$x^{12} - 4 x^{11} + 8 x^{10} - 10 x^{9} + 9 x^{8} - 12 x^{7} + 18 x^{6} - 18 x^{5} + 14 x^{4} - 9 x^{3} + 5 x^{2} - 2 x - 1$	$12$	[2,5]	$-\,127\cdot 229^{4}$	$2$	$9.16070302373$	$170.53738593047566$			?	$C_2\wr S_4$ (as 12T227)	trivial	$2$	$6$	$5.49728358002$
12.2.353996898304.1	$x^{12} - 2 x^{11} + x^{10} + 4 x^{7} - 4 x^{6} + 2 x^{5} - 2 x^{4} + 4 x^{2} - 4 x + 1$	$12$	[2,5]	$-\,2^{18}\cdot 7^{3}\cdot 31\cdot 127$	$4$	$9.170998478582437$	$469.54446008871196$			?	$S_3\wr D_4$ (as 12T274)	trivial	$2$	$6$	$5.5369431385384855$
12.2.362031460339.1	$x^{12} - x^{7} + x^{6} + 2 x^{5} - 2 x^{4} + x^{3} - x^{2} - x + 1$	$12$	[2,5]	$-\,362031460339$	$1$	$9.18816656011$	$601690.5021179909$			?	$S_{12}$ (as 12T301)	trivial	$2$	$6$	$5.64279808125$
12.2.373065296875.1	$x^{12} - 2 x^{11} - 2 x^{10} + 8 x^{9} - 12 x^{7} + 3 x^{6} + 11 x^{5} - 5 x^{4} - 6 x^{3} + 3 x^{2} + x - 1$	$12$	[2,5]	$-\,5^{6}\cdot 19^{3}\cdot 59^{2}$	$3$	$9.21118286768$	$74.86654793697917$			?	$D_6\wr C_2$ (as 12T125)	trivial	$2$	$6$	$5.72023263089$
12.2.396228830787.1	$x^{12} - 2 x^{11} - x^{10} + 4 x^{9} - 3 x^{7} - x^{6} + 3 x^{4} + x^{3} - 3 x^{2} - x + 1$	$12$	[2,5]	$-\,3^{3}\cdot 23^{4}\cdot 229^{2}$	$3$	$9.25753805701$	$125.70202862324857$			✓	$C_2\wr D_6$ (as 12T186)	trivial	$2$	$6$	$6.09548763154$
12.2.398786546875.1	$x^{12} - 3 x^{11} + 4 x^{10} - 3 x^{9} + 4 x^{8} - 7 x^{7} + 7 x^{6} - x^{5} - 4 x^{4} + 4 x^{3} - x^{2} + x - 1$	$12$	[2,5]	$-\,5^{6}\cdot 19^{3}\cdot 61^{2}$	$3$	$9.26250328277$	$76.12489737267302$			?	$D_6\wr C_2$ (as 12T125)	trivial	$2$	$6$	$5.94217649784$
12.2.417344000000.1	$x^{12} - 2 x^{11} + 2 x^{10} - 2 x^{9} + x^{8} - 4 x^{7} + 4 x^{6} + 5 x^{4} - 6 x^{3} + x^{2} + 1$	$12$	[2,5]	$-\,2^{12}\cdot 5^{6}\cdot 6521$	$3$	$9.297678278879234$	$510.7249749131131$			?	$S_3\wr D_4$ (as 12T274)	trivial	$2$	$6$	$6.215565115061368$
12.2.419159399791.1	$x^{12} - 2 x^{11} + 3 x^{9} - 2 x^{8} - x^{7} + x^{6} - x^{5} + x^{4} + 2 x^{3} - 2 x^{2} + 1$	$12$	[2,5]	$-\,11^{4}\cdot 31^{5}$	$2$	$9.30104189993$	$18.466185312619388$			?	$C_2 \times S_4$ (as 12T22)	trivial	$2$	$6$	$6.24841548478$
12.2.438976000000.1	$x^{12} - x^{11} + 2 x^{10} - 3 x^{8} + 6 x^{7} - 9 x^{6} + 6 x^{5} - 3 x^{4} + 2 x^{2} - x + 1$	$12$	[2,5]	$-\,2^{12}\cdot 5^{6}\cdot 19^{3}$	$3$	$9.33691484757$	$38.98717737923585$			?	$D_6\wr C_2$ (as 12T125)	trivial	$2$	$6$	$6.34204903952$
12.2.447330484375.1	$x^{12} - 2 x^{11} + x^{10} - 3 x^{9} + 8 x^{8} - 3 x^{7} - 2 x^{6} - 4 x^{5} + 2 x^{4} + 9 x^{3} - 9 x^{2} + 4 x - 1$	$12$	[2,5]	$-\,5^{6}\cdot 31^{5}$	$2$	$9.35159538434$	$12.449899597988733$			?	$(C_6\times C_2):C_2$ (as 12T13)	trivial	$2$	$6$	$6.55949888698$
12.2.451992187175.1	$x^{12} - x^{11} + 4 x^{10} + x^{9} - x^{8} + 12 x^{7} - 9 x^{6} + 12 x^{5} - x^{4} + x^{3} + 4 x^{2} - x + 1$	$12$	[2,5]	$-\,5^{2}\cdot 23^{5}\cdot 53^{2}$	$3$	$9.35967805722$	$170.96956786104076$			?	$C_2\wr S_4$ (as 12T223)	trivial	$2$	$6$	$6.4136566416$
12.2.458342033107.1	$x^{12} - 3 x^{11} + 2 x^{10} + 3 x^{9} - 6 x^{8} + 3 x^{7} + 4 x^{6} - 10 x^{5} + 8 x^{4} - x^{3} - 2 x^{2} + x - 1$	$12$	[2,5]	$-\,7^{8}\cdot 43^{3}$	$2$	$9.37056564065$	$23.99567223510292$			?	$C_2^3.(C_2\times A_4)$ (as 12T104)	trivial	$2$	$6$	$6.54549766683$
12.2.458342033107.2	$x^{12} - 4 x^{11} + 6 x^{10} - 4 x^{9} + x^{8} - 3 x^{7} + 5 x^{6} - 3 x^{5} + x^{4} - 4 x^{3} + 6 x^{2} - 4 x + 1$	$12$	[2,5]	$-\,7^{8}\cdot 43^{3}$	$2$	$9.37056564065$	$23.99567223510292$			✓	$C_2^3.(C_2\times A_4)$ (as 12T104)	trivial	$2$	$6$	$6.54549766683$
12.2.530569362483.1	$x^{12} - x^{11} + x^{10} - 3 x^{9} + 6 x^{8} - 7 x^{7} + 4 x^{6} - 6 x^{5} + 10 x^{4} - 11 x^{3} + 5 x^{2} + x - 1$	$12$	[2,5]	$-\,3^{4}\cdot 17^{2}\cdot 283^{3}$	$3$	$9.48553536042$	$192.64295262991146$			?	$C_3^3:(S_3\times S_4)$ (as 12T258)	trivial	$2$	$6$	$7.20273603042$
12.2.533806460928.1	$x^{12} - 5 x^{11} + 13 x^{10} - 23 x^{9} + 31 x^{8} - 32 x^{7} + 27 x^{6} - 17 x^{5} + 8 x^{4} - 2 x^{3} + x - 1$	$12$	[2,5]	$-\,2^{12}\cdot 3^{3}\cdot 13^{6}$	$3$	$9.49034467201$	$17.663521732655695$			?	$S_3\times D_4$ (as 12T28)	trivial	$2$	$6$	$7.11195238102$
12.2.562523516779.1	$x^{12} - 2 x^{11} - x^{10} + 7 x^{9} - 5 x^{8} - 6 x^{7} + 11 x^{6} - 3 x^{5} - 5 x^{4} + 6 x^{3} - 2 x^{2} - x + 1$	$12$	[2,5]	$-\,7^{8}\cdot 97579$	$2$	$9.53187613796$	$1143.0806547161178$			✓	$S_4\wr C_3$ (as 12T292)	trivial	$2$	$6$	$7.7037339724$
12.2.566636000000.1	$x^{12} - 4 x^{10} - x^{9} + 7 x^{8} + 4 x^{7} - 5 x^{6} - 8 x^{5} + x^{4} + 7 x^{3} - x^{2} - 3 x + 1$	$12$	[2,5]	$-\,2^{8}\cdot 5^{6}\cdot 7^{4}\cdot 59$	$4$	$9.53766388736$	$72.13510890035327$			?	$C_2\wr D_6$ (as 12T193)	trivial	$2$	$6$	$7.30104222822$
12.2.620200350784.1	$x^{12} + 3 x^{10} + 5 x^{8} + 5 x^{6} + x^{4} - x^{2} - 1$	$12$	[2,5]	$-\,2^{6}\cdot 7^{8}\cdot 41^{2}$	$3$	$9.609725905426268$	$78.8121389064205$			?	$D_4\wr C_3$ (as 12T222)	trivial	$2$	$6$	$8.168059297232562$
12.2.644204000000.1	$x^{12} - 3 x^{11} + 3 x^{10} - x^{9} - 3 x^{8} + 4 x^{7} - x^{6} + 8 x^{5} - 7 x^{4} - 3 x^{3} - 2 x^{2} + 4 x - 1$	$12$	[2,5]	$-\,2^{8}\cdot 5^{6}\cdot 11^{5}$	$3$	$9.64018314536$	$11.772481280020624$			?	$(C_6\times C_2):C_2$ (as 12T13)	trivial	$2$	$6$	$8.09867909721$
12.2.644204000000.2	$x^{12} - 3 x^{11} + 2 x^{10} + 4 x^{9} - 7 x^{8} + 2 x^{7} + 3 x^{6} + 2 x^{5} - 7 x^{4} + 4 x^{3} + 2 x^{2} - 3 x + 1$	$12$	[2,5]	$-\,2^{8}\cdot 5^{6}\cdot 11^{5}$	$3$	$9.64018314536$	$32.98695556602207$			?	$D_6:D_6$ (as 12T81)	trivial	$2$	$6$	$8.15346214121$
12.2.659081523200.1	$x^{12} - 2 x^{11} + 5 x^{10} - 2 x^{9} + 6 x^{8} - 2 x^{7} + 11 x^{6} + 2 x^{5} - x^{4} + 2 x^{3} + 4 x - 1$	$12$	[2,5]	$-\,2^{12}\cdot 5^{2}\cdot 23^{5}$	$3$	$9.65854249046$	$30.331501776206203$			?	$C_2^3:S_4$ (as 12T100)	trivial	$2$	$6$	$7.95702343355$
12.2.713607421387.1	$x^{12} - 4 x^{10} - 2 x^{9} + 6 x^{8} + 10 x^{7} - x^{6} - 13 x^{5} - 9 x^{4} + 4 x^{3} + 9 x^{2} + 5 x + 1$	$12$	[2,5]	$-\,7^{8}\cdot 123787$	$2$	$9.72273121475$	$1287.4673146347911$			✓	$S_4\wr C_3$ (as 12T292)	trivial	$2$	$6$	$8.88769174833$