Number field search results

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

Results (1-50 of 217 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
9.3.422...147.2	$x^{9} - 3 x^{7} - x^{6} + 5184 x^{5} + 3456 x^{4} - 2985408 x^{3} - 2985984 x^{2} - 995328 x - 110592$	$9$	[3,3]	$-\,3^{13}\cdot 11^{6}\cdot 157^{6}$	$3$	$703.671622760414$	$747.9572458851015$			?	$S_3\times C_3$ (as 9T4)	$[2, 2, 32520]$	$2$	$5$	$36443.850246116446$
9.3.631...128.1	$x^{9} - 3 x^{8} - 357 x^{7} + 7050 x^{6} - 67920 x^{5} + 393639 x^{4} - 1427271 x^{3} + 3165981 x^{2} - 3928704 x + 2089711$	$9$	[3,3]	$-\,2^{6}\cdot 3^{15}\cdot 7^{7}\cdot 11^{3}\cdot 13^{7}$	$5$	$735.730077253$	$1498.3950426376266$			?	$S_3\times C_3$ (as 9T4)	$[6, 6, 12, 756]$	$2$	$5$	$24183.29772953544$
9.3.167...392.2	$x^{9} - 3 x^{8} - 357 x^{7} - 1320 x^{6} + 46410 x^{5} + 450471 x^{4} - 785715 x^{3} - 31150623 x^{2} - 168595476 x - 306304831$	$9$	[3,3]	$-\,2^{6}\cdot 3^{15}\cdot 7^{3}\cdot 127^{7}$	$4$	$820.124686236$	$1578.0264517537692$			?	$S_3\times C_3$ (as 9T4)	$[2, 6, 10386]$	$2$	$5$	$63646.517425689955$
9.3.573...187.2	$x^{9} - 1911 x^{6} - 1527036 x^{3} - 258474853$	$9$	[3,3]	$-\,3^{19}\cdot 7^{6}\cdot 127^{6}$	$3$	$940.1355807964674$	$999.3030797698304$			?	$S_3\times C_3$ (as 9T4)	$[2, 2, 6, 18, 252]$	$2$	$5$	$71295.14290242414$
9.3.712...875.2	$x^{9} - 705 x^{6} - 207600 x^{3} - 12977875$	$9$	[3,3]	$-\,3^{13}\cdot 5^{6}\cdot 7^{6}\cdot 79^{6}$	$4$	$963.0272351208954$	$1023.6354219709918$			?	$S_3\times C_3$ (as 9T4)	$[3, 45, 1170]$	$2$	$5$	$89341.3259803927$
9.3.100...368.1	$x^{9} - 2 x^{8} - 385 x^{7} + 7453 x^{6} - 71581 x^{5} + 415126 x^{4} - 1507540 x^{3} + 3349405 x^{2} - 4162063 x + 2216299$	$9$	[3,3]	$-\,2^{9}\cdot 17^{3}\cdot 877^{7}$	$3$	$1000.41298447$	$3305.7432157525864$			?	$S_3\times C_3$ (as 9T4)	$[2, 83174]$	$2$	$5$	$72058.79915149519$
9.3.148...312.2	$x^{9} - 3 x^{8} - 525 x^{7} - 9498 x^{6} - 90516 x^{5} - 528051 x^{4} - 1934295 x^{3} - 4332405 x^{2} - 5419578 x - 2901079$	$9$	[3,3]	$-\,2^{6}\cdot 3^{15}\cdot 7^{7}\cdot 13^{3}\cdot 19^{7}$	$5$	$1044.93148551$	$2234.8250720366755$			?	$S_3\times C_3$ (as 9T4)	$[3, 3, 12, 5292]$	$2$	$5$	$31806.21092861704$
9.3.161...248.1	$x^{9} - 471 x^{7} - 507 x^{6} + 238797 x^{5} - 5652 x^{4} - 153114 x^{3} + 18369 x^{2} - 86193 x + 4395$	$9$	[3,3]	$-\,2^{6}\cdot 3^{15}\cdot 7^{6}\cdot 157^{6}$	$4$	$1054.9224869115737$	$1121.3141079035581$			?	$S_3\times C_3$ (as 9T4)	$[6, 6, 6, 2322]$	$2$	$5$	$39976.98188611483$
9.3.174...000.1	$x^{9} - x^{8} - 413 x^{7} + 7858 x^{6} - 75284 x^{5} + 436979 x^{4} - 1589503 x^{3} + 3537221 x^{2} - 4401470 x + 2346343$	$9$	[3,3]	$-\,2^{6}\cdot 5^{3}\cdot 7^{3}\cdot 937^{7}$	$4$	$1063.4792657$	$2813.003969596346$			?	$S_3\times C_3$ (as 9T4)	$[2, 2, 81342]$	$2$	$5$	$26694.41190332723$
9.3.197...432.1	$x^{9} - 4 x^{8} - 558 x^{7} + 1489 x^{6} + 41181 x^{5} + 425593 x^{4} + 2005619 x^{3} + 6956364 x^{2} + 13241673 x + 17915283$	$9$	[3,3]	$-\,2^{6}\cdot 11^{3}\cdot 1567^{7}$	$3$	$1078.62683975$	$3049.8876075000057$			?	$S_3\times C_3$ (as 9T4)	$[5, 23170]$	$2$	$5$	$106487.27202808057$
9.3.235...448.2	$x^{9} - 3 x^{7} - x^{6} + 10125 x^{5} + 6750 x^{4} - 11389500 x^{3} - 11390625 x^{2} - 3796875 x - 421875$	$9$	[3,3]	$-\,2^{6}\cdot 3^{13}\cdot 7^{6}\cdot 241^{6}$	$4$	$1099.6940228374726$	$1168.9033435953645$			?	$S_3\times C_3$ (as 9T4)	$[2, 2, 6, 24, 792]$	$2$	$5$	$49677.756968813395$
9.1.345...000.1	$x^{9} - 144 x^{7} - 771 x^{6} - 6948 x^{5} - 92304 x^{4} - 690915 x^{3} - 3564324 x^{2} - 9455616 x - 16678913$	$9$	[1,4]	$2^{6}\cdot 3^{16}\cdot 5^{7}\cdot 7^{7}\cdot 11^{7}$	$5$	$1147.66761923$	$1698.085572243616$			?	$S_3^2$ (as 9T8)	$[3, 3, 6, 6678]$	$2$	$4$	$287853.02074033$
9.3.497...264.1	$x^{9} - x^{8} - 469 x^{7} - 8674 x^{6} - 82816 x^{5} - 481783 x^{4} - 1758511 x^{3} - 3926029 x^{2} - 4898428 x - 2616799$	$9$	[3,3]	$-\,2^{6}\cdot 37^{3}\cdot 1063^{7}$	$3$	$1195.06324245$	$3212.9101428501913$			?	$S_3\times C_3$ (as 9T4)	$[2, 2, 2, 104, 936]$	$2$	$5$	$29237.00726195313$
9.3.524...227.2	$x^{9} - 399 x^{7} - 2826 x^{6} - 39501 x^{5} - 1111215 x^{4} - 11901807 x^{3} - 93380364 x^{2} - 641574444 x - 2428189912$	$9$	[3,3]	$-\,3^{13}\cdot 7^{6}\cdot 19^{6}\cdot 29^{6}$	$4$	$1202.2872410072198$	$1277.9532731743216$			?	$S_3\times C_3$ (as 9T4)	$[3, 15, 10710]$	$2$	$5$	$117049.84749906331$
9.3.567...027.2	$x^{9} - 375 x^{6} - 58614 x^{3} - 1953125$	$9$	[3,3]	$-\,3^{13}\cdot 3907^{6}$	$2$	$1212.655441376726$	$1288.9739969641184$			?	$S_3\times C_3$ (as 9T4)	$[3, 6, 6, 7182]$	$2$	$5$	$84890.27088402963$
9.3.611...643.1	$x^{9} + 1131 x^{7} - 546 x^{6} + 319410 x^{5} - 304707 x^{4} - 198744 x^{3} + 276822 x^{2} - 85683 x - 2197$	$9$	[3,3]	$-\,3^{15}\cdot 13^{6}\cdot 211^{6}$	$3$	$1222.7921150709683$	$1299.7486229310416$			?	$S_3\times C_3$ (as 9T4)	$[2, 6, 6, 9462]$	$2$	$5$	$45230.52010114186$
9.3.821...272.1	$x^{9} - 2 x^{8} - 497 x^{7} - 9085 x^{6} - 86645 x^{5} - 504734 x^{4} - 1845556 x^{3} - 4127021 x^{2} - 5155979 x - 2757211$	$9$	[3,3]	$-\,2^{9}\cdot 19^{3}\cdot 1129^{7}$	$3$	$1263.56825473$	$4313.53585409569$			?	$S_3\times C_3$ (as 9T4)	$[2, 2, 2, 2, 17486]$	$2$	$5$	$120471.70312851721$
9.3.104...048.2	$x^{9} - 372 x^{6} - 57696 x^{3} - 1906624$	$9$	[3,3]	$-\,2^{6}\cdot 3^{19}\cdot 7^{6}\cdot 103^{6}$	$4$	$1297.8748667732661$	$1379.5567128983794$			?	$S_3\times C_3$ (as 9T4)	$[3, 6, 6, 2736]$	$2$	$5$	$189576.97217134613$
9.3.141...875.2	$x^{9} - 75 x^{6} - 10646250 x^{3} - 15625$	$9$	[3,3]	$-\,3^{15}\cdot 5^{6}\cdot 631^{6}$	$3$	$1342.3579325961282$	$1426.8393236009028$			?	$S_3\times C_3$ (as 9T4)	$[2, 42, 2394]$	$2$	$5$	$176945.4442290262$
9.3.145...176.2	$x^{9} - 3 x^{8} - 1677 x^{7} - 12090 x^{6} + 194712 x^{5} - 2410023 x^{4} + 13118637 x^{3} - 56776125 x^{2} + 128903838 x - 222062239$	$9$	[3,3]	$-\,2^{6}\cdot 3^{15}\cdot 7^{7}\cdot 79^{7}$	$4$	$1346.23045974$	$2032.35592261253$			?	$S_3\times C_3$ (as 9T4)	$[3, 18, 18, 774]$	$2$	$5$	$79730.41093997915$
9.3.157...000.2	$x^{9} - 6450 x^{6} - 17385000 x^{3} - 9938375000$	$9$	[3,3]	$-\,2^{6}\cdot 3^{13}\cdot 5^{6}\cdot 463^{6}$	$4$	$1357.9876063599875$	$1443.4526519835924$			?	$S_3\times C_3$ (as 9T4)	$[2, 6, 52668]$	$2$	$5$	$76683.06820198614$
9.3.188...000.1	$x^{9} - 6300 x^{6} - 16560000 x^{3} - 9261000000$	$9$	[3,3]	$-\,2^{6}\cdot 3^{15}\cdot 5^{6}\cdot 331^{6}$	$4$	$1385.9708207721046$	$1664.4635774608369$			?	$S_3\times C_3$ (as 9T4)	$[3, 58590]$	$2$	$5$	$121481.57717774453$
9.3.270...875.2	$x^{9} - 795 x^{6} - 263850 x^{3} - 18609625$	$9$	[3,3]	$-\,3^{15}\cdot 5^{6}\cdot 19^{6}\cdot 37^{6}$	$4$	$1442.6212023467997$	$1533.4126692929754$			?	$S_3\times C_3$ (as 9T4)	$[3, 3, 3, 3, 6966]$	$2$	$5$	$99200.20696547638$
9.3.314...875.2	$x^{9} - 75 x^{6} - 12165000 x^{3} - 15625$	$9$	[3,3]	$-\,3^{15}\cdot 5^{6}\cdot 7^{6}\cdot 103^{6}$	$4$	$1467.1424077946158$	$1559.4771185322136$			?	$S_3\times C_3$ (as 9T4)	$[6, 6, 6, 1638]$	$2$	$5$	$186200.86721224207$
9.3.334...787.2	$x^{9} - 7623 x^{6} - 24245496 x^{3} - 16406426421$	$9$	[3,3]	$-\,3^{15}\cdot 11^{6}\cdot 331^{6}$	$3$	$1476.89360670801$	$1773.6561111588226$			?	$S_3\times C_3$ (as 9T4)	$[13, 19110]$	$2$	$5$	$125042.33802757609$
9.3.506...064.1	$x^{9} - 3 x^{8} - 174 x^{7} + 467 x^{6} + 77319 x^{5} - 161625 x^{4} - 2738803 x^{3} + 7924692 x^{2} - 2095714128 x + 964112287$	$9$	[3,3]	$-\,2^{9}\cdot 3^{9}\cdot 7^{3}\cdot 547^{7}$	$4$	$1546.66513344$	$5156.934111740847$			?	$S_3\times C_3$ (as 9T4)	$[6, 6, 13902]$	$2$	$5$	$377350.4867609202$
9.3.627...187.1	$x^{9} - 972 x^{7} - 5833 x^{6} + 314928 x^{5} + 3779784 x^{4} - 22667039 x^{3} - 612325008 x^{2} - 3675839940 x - 7359239448$	$9$	[3,3]	$-\,3^{13}\cdot 19^{6}\cdot 307^{6}$	$3$	$1584.05332218$	$1683.7458295472666$			?	$S_3\times C_3$ (as 9T4)	$[3, 3, 3, 3, 2457]$	$2$	$5$	$981335.7403615314$
9.3.861...927.1	$x^{9} - x^{8} - 1342 x^{7} + 31269 x^{6} - 353885 x^{5} + 2987747 x^{4} - 16016553 x^{3} + 66301140 x^{2} - 159070096 x + 205759651$	$9$	[3,3]	$-\,7^{7}\cdot 17^{3}\cdot 577^{7}$	$3$	$1640.70047579$	$4173.041192189819$				$S_3\times C_3$ (as 9T4)	$[6, 43134]$	$2$	$5$	$814914.4376300009$
9.3.872...232.2	$x^{9} - 1332 x^{6} - 739584 x^{3} - 87528384$	$9$	[3,3]	$-\,2^{6}\cdot 3^{19}\cdot 13^{6}\cdot 79^{6}$	$4$	$1643.0707902328738$	$1746.4775661065264$			?	$S_3\times C_3$ (as 9T4)	$[3, 3, 6, 6, 1134]$	$2$	$5$	$223385.93396977303$
9.3.985...000.2	$x^{9} - 3 x^{8} - 780 x^{7} - 4407 x^{6} + 214440 x^{5} + 2926290 x^{4} - 8788200 x^{3} - 421505400 x^{2} - 3123636000 x - 7788259000$	$9$	[3,3]	$-\,2^{9}\cdot 3^{15}\cdot 5^{3}\cdot 271^{7}$	$4$	$1665.44976184$	$4469.0296117244325$			?	$S_3\times C_3$ (as 9T4)	$[3, 15, 2910]$	$2$	$5$	$845760.946118365$
9.3.999...987.2	$x^{9} - 1156 x^{7} - 3 x^{6} - 306 x^{5} + 2312 x^{4} - 24 x^{3} + 306 x^{2} - 1156 x - 1$	$9$	[3,3]	$-\,3^{3}\cdot 37^{6}\cdot 1063^{6}$	$3$	$1668.0039597724144$	$2003.167596670599$			?	$S_3\times C_3$ (as 9T4)	$[3, 9, 25974]$	$2$	$5$	$217087.60509943974$
9.3.103...875.3	$x^{9} - 1995 x^{6} - 4659900 x^{3} - 294079625$	$9$	[3,3]	$-\,3^{13}\cdot 5^{6}\cdot 7^{6}\cdot 181^{6}$	$4$	$1673.6817935049799$	$1779.0150750249156$			?	$S_3\times C_3$ (as 9T4)	$[9, 9, 1647]$	$2$	$5$	$997100.089020082$
9.3.128...347.1	$x^{9} - 1287 x^{6} - 690174 x^{3} - 78953589$	$9$	[3,3]	$-\,3^{19}\cdot 7^{6}\cdot 313^{6}$	$3$	$1715.3427075993263$	$1823.2979216811787$			?	$S_3\times C_3$ (as 9T4)	$[6, 6, 6, 2268]$	$2$	$5$	$248764.63208247855$
9.3.165...704.1	$x^{9} - x^{8} - 959 x^{7} + 270 x^{6} + 130894 x^{5} + 1765845 x^{4} + 11378151 x^{3} + 46627247 x^{2} + 110528996 x + 147434209$	$9$	[3,3]	$-\,2^{9}\cdot 7^{3}\cdot 2659^{7}$	$3$	$1763.59622385$	$5345.963155697544$			?	$S_3\times C_3$ (as 9T4)	$[19, 27949]$	$2$	$5$	$328977.09053380624$
9.3.169...000.1	$x^{9} - 1893 x^{7} - 18299 x^{6} + 1220985 x^{5} + 23870730 x^{4} - 151440000 x^{3} - 7973174025 x^{2} - 79283809125 x - 264229593625$	$9$	[3,3]	$-\,2^{6}\cdot 3^{12}\cdot 5^{3}\cdot 631^{7}$	$4$	$1768.63799646$	$3308.9571123638725$			?	$S_3\times C_3$ (as 9T4)	$[30, 23310]$	$2$	$5$	$157683.5563071513$
9.1.174...424.1	$x^{9} + 108 x^{7} - 5181 x^{6} + 3888 x^{5} + 187164 x^{4} + 9087609 x^{3} - 6714576 x^{2} - 645345360 x - 5231495807$	$9$	[1,4]	$2^{6}\cdot 3^{10}\cdot 7^{7}\cdot 13^{7}\cdot 19^{7}$	$5$	$1774.62414463$	$2854.240879731732$			?	$S_3^2$ (as 9T8)	$[3, 3, 9, 54, 54]$	$2$	$4$	$3012686.824087748$
9.3.182...712.1	$x^{9} - 6231 x^{7} - 143313 x^{6} - 6374313 x^{5} - 536987580 x^{4} - 33959764184 x^{3} - 1281819293415 x^{2} - 22598935517613 x - 162634049131679$	$9$	[3,3]	$-\,2^{6}\cdot 3^{12}\cdot 31^{6}\cdot 67^{7}$	$4$	$1783.89738167$	$2253.29715420393$			?	$S_3\times C_3$ (as 9T4)	$[6, 6, 6, 4218]$	$2$	$5$	$141096.20123416214$
9.3.197...043.2	$x^{9} - 1287 x^{6} - 1925586 x^{3} - 78953589$	$9$	[3,3]	$-\,3^{19}\cdot 13^{6}\cdot 181^{6}$	$3$	$1798.8872085353914$	$1912.1003016661111$			?	$S_3\times C_3$ (as 9T4)	$[3, 9, 4914]$	$2$	$5$	$995203.1384473754$
9.3.287...336.1	$x^{9} - x^{8} - 765 x^{7} - 17688 x^{6} - 209034 x^{5} - 1507947 x^{4} - 6871473 x^{3} - 19300827 x^{2} - 30508758 x - 20768489$	$9$	[3,3]	$-\,2^{9}\cdot 7^{7}\cdot 13^{7}\cdot 19^{7}\cdot 23^{3}$	$5$	$1875.96300283$	$6769.7309043987025$			?	$S_3\times C_3$ (as 9T4)	$[3, 3, 3, 6789]$	$2$	$5$	$960727.9900671571$
9.3.417...987.1	$x^{9} - 3 x^{8} - 2109 x^{7} - 53679 x^{6} - 646248 x^{5} - 6139749 x^{4} - 35586555 x^{3} - 167565045 x^{2} - 437806425 x - 650068687$	$9$	[3,3]	$-\,3^{15}\cdot 7^{3}\cdot 19^{7}\cdot 37^{7}$	$4$	$1955.23977766$	$4137.334345409384$			?	$S_3\times C_3$ (as 9T4)	$[3, 3, 3, 6, 1806]$	$2$	$5$	$736058.4974870336$
9.3.451...664.1	$x^{9} - 2757 x^{7} - 32165 x^{6} + 2580552 x^{5} + 60775308 x^{4} - 461422548 x^{3} - 29279240748 x^{2} - 349709062392 x - 1398653824392$	$9$	[3,3]	$-\,2^{9}\cdot 3^{13}\cdot 919^{7}$	$3$	$1972.4504163$	$4331.681022112491$			?	$S_3\times C_3$ (as 9T4)	$[3, 78, 3042]$	$2$	$5$	$738095.809181994$
9.3.454...152.1	$x^{9} - 1369 x^{7} - 3 x^{6} + 333 x^{5} + 2738 x^{4} - 24 x^{3} - 333 x^{2} - 1369 x - 1$	$9$	[3,3]	$-\,2^{6}\cdot 3^{3}\cdot 17^{6}\cdot 1489^{6}$	$4$	$1973.7379644769014$	$2370.3348613741714$			?	$S_3\times C_3$ (as 9T4)	$[2, 2, 6, 4446]$	$2$	$5$	$2686524.79123112$
9.3.577...747.2	$x^{9} - 10972 x^{6} + 14480427 x^{3} + 10604499373$	$9$	[3,3]	$-\,3^{9}\cdot 7^{6}\cdot 13^{6}\cdot 193^{6}$	$4$	$2026.99987669$	$2434.299060048573$			?	$S_3\times C_3$ (as 9T4)	$[3, 3, 6, 36, 252]$	$2$	$5$	$714658.7785415845$
9.3.640...827.1	$x^{9} - 168 x^{6} - 365785 x^{3} - 175616$	$9$	[3,3]	$-\,3^{3}\cdot 7^{6}\cdot 13^{6}\cdot 19^{6}\cdot 31^{6}$	$5$	$2050.272294030852$	$2462.2477660751297$				$S_3\times C_3$ (as 9T4)	$[3, 3, 3, 3, 9, 9, 27]$	$2$	$5$	$37910308.74403324$
9.1.816...000.1	$x^{9} + 228 x^{7} - 76 x^{6} + 17328 x^{5} - 11552 x^{4} + 455228 x^{3} - 438976 x^{2} + 1235152 x - 1245168$	$9$	[1,4]	$2^{6}\cdot 3^{3}\cdot 5^{6}\cdot 7^{6}\cdot 307^{7}$	$5$	$2106.4285718180954$	$3477.2931119165$			?	$S_3^2$ (as 9T8)	$[9, 9, 9, 540]$	$2$	$4$	$1945775.459894887$
9.1.937...976.1	$x^{9} + 270 x^{7} - 2955 x^{6} + 24300 x^{5} + 280530 x^{4} + 4127133 x^{3} - 23935500 x^{2} - 538282800 x - 1686858625$	$9$	[1,4]	$2^{6}\cdot 3^{15}\cdot 17^{7}\cdot 59^{7}$	$4$	$2139.11397546$	$3337.9482723174997$			?	$S_3^2$ (as 9T8)	$[6, 6, 4212]$	$2$	$4$	$3993151.1525716246$
9.3.112...168.1	$x^{9} + 69 x^{7} - 335 x^{6} + 1587 x^{5} - 721466 x^{4} - 203039588 x^{3} + 203872969 x^{2} + 6018523 x - 84397585$	$9$	[3,3]	$-\,2^{6}\cdot 3^{3}\cdot 13^{6}\cdot 31^{6}\cdot 73^{6}$	$5$	$2181.7870157738785$	$2620.188655566019$			?	$S_3\times C_3$ (as 9T4)	$[6, 6, 18, 378]$	$2$	$5$	$2213171.8712121504$
9.1.120...504.1	$x^{9} - 1947 x^{6} - 35046 x^{5} - 420552 x^{4} - 2525259 x^{3} - 22744854 x^{2} - 421201$	$9$	[1,4]	$2^{6}\cdot 3^{18}\cdot 11^{7}\cdot 59^{7}$	$4$	$2199.02721434$	$3349.4473609613633$			?	$S_3^2$ (as 9T8)	$[3, 6, 6, 6, 180]$	$2$	$4$	$7647304.204036074$
9.3.132...027.2	$x^{9} - 1029 x^{6} - 6564334 x^{3} - 40353607$	$9$	[3,3]	$-\,3^{9}\cdot 7^{6}\cdot 43^{6}\cdot 67^{6}$	$4$	$2222.70650364$	$2669.3303807295124$			?	$S_3\times C_3$ (as 9T4)	$[6, 6, 6, 18, 36]$	$2$	$5$	$5126704.017103707$
9.3.144...112.2	$x^{9} - 1095 x^{7} - 2744 x^{6} - 190845 x^{5} + 1609440 x^{4} - 36547575 x^{3} + 112348278 x^{2} - 600693534 x - 712835718$	$9$	[3,3]	$-\,2^{6}\cdot 3^{13}\cdot 7^{6}\cdot 19^{6}\cdot 37^{6}$	$5$	$2245.07430565$	$2386.3682151588246$				$S_3\times C_3$ (as 9T4)	$[3, 3, 3, 3, 9, 180]$	$2$	$5$	$64605081.286768556$