Number field search results

Note: Search results may be incomplete. Given $p$-adic completions contain an unramified field and completions are only searched for ramified primes.

Results (1-50 of 75 matches)

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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	Unit group torsion	Unit group rank	Regulator
11.3.193...005.1	$x^{11} + 2541 x^{5} - 14641 x^{4} + 41503$	$11$	[3,4]	$5\cdot 7^{8}\cdot 11^{20}$	$3$	$372.90716659$	$1111.1415449565272$			?	$S_{11}$ (as 11T8)	trivial	$2$	$6$	$13728758739.8$
13.1.3518110599125.1	$x^{13} + x^{11} - 2 x^{10} + x^{9} - x^{8} - 4 x^{7} + 4 x^{6} - 5 x^{5} + x^{4} + 2 x^{3} - 4 x^{2} + 2 x - 1$	$13$	[1,6]	$5^{3}\cdot 5351\cdot 5259743$	$3$	$9.22785432352$	$560953.9892720619$			?	$S_{13}$ (as 13T9)	trivial	$2$	$6$	$6.17827465513$
13.1.10905397816000.1	$x^{13} - 3 x^{12} + 8 x^{11} - 12 x^{10} + 15 x^{9} - 12 x^{8} + 6 x^{7} + x^{6} - 6 x^{5} + 8 x^{4} - 6 x^{3} + 5 x^{2} - x + 1$	$13$	[1,6]	$2^{6}\cdot 5^{3}\cdot 26141\cdot 52147$	$4$	$10.0668941223$	$246906.919902287$			✓	$S_{13}$ (as 13T9)	trivial	$2$	$6$	$12.5128995808$
13.1.29747917088000.1	$x^{13} - 4 x^{12} + 10 x^{11} - 20 x^{10} + 30 x^{9} - 40 x^{8} + 44 x^{7} - 43 x^{6} + 38 x^{5} - 31 x^{4} + 24 x^{3} - 16 x^{2} + 8 x - 2$	$13$	[1,6]	$2^{8}\cdot 5^{3}\cdot 139\cdot 6687931$	$4$	$10.8747613641$	$407793.9577709422$			✓	$S_{13}$ (as 13T9)	trivial	$2$	$6$	$36.4190725607$
13.1.48103150106125.1	$x^{13} - 2 x^{12} + 4 x^{10} - 3 x^{9} - 5 x^{8} + 7 x^{7} + x^{6} - 8 x^{5} + 3 x^{4} + 5 x^{3} - 3 x^{2} - x + 2$	$13$	[1,6]	$5^{3}\cdot 83\cdot 4636448203$	$3$	$11.2843068169$	$2074241.1968637758$			✓	$S_{13}$ (as 13T9)	trivial	$2$	$6$	$47.5944591354$
13.3.53877019237375.1	$x^{13} - 2 x^{12} - 4 x^{11} + 7 x^{10} + 6 x^{9} - 6 x^{8} - 6 x^{7} - 8 x^{6} + 8 x^{5} + 15 x^{4} - 7 x^{3} - 7 x^{2} + x + 1$	$13$	[3,5]	$-\,5^{3}\cdot 204793\cdot 2104643$	$3$	$11.3831330569$	$2195200.9241965474$			?	$S_{13}$ (as 13T9)	trivial	$2$	$7$	$39.9707034173$
13.3.69188908404875.1	$x^{13} - 3 x^{12} + 3 x^{11} - 3 x^{10} + 5 x^{9} + 2 x^{8} - 17 x^{7} + 10 x^{6} + 16 x^{5} - 16 x^{4} - 5 x^{3} + 7 x^{2} - 1$	$13$	[3,5]	$-\,5^{3}\cdot 7^{5}\cdot 31\cdot 1062367$	$4$	$11.6042797679$	$97116.7192341759$			?	$S_{13}$ (as 13T9)	trivial	$2$	$7$	$49.3240960032$
13.3.134713017952000.1	$x^{13} - 5 x^{12} + 15 x^{11} - 34 x^{10} + 56 x^{9} - 79 x^{8} + 85 x^{7} - 78 x^{6} + 53 x^{5} - 25 x^{4} + 6 x^{3} + 4 x^{2} - 2 x + 1$	$13$	[3,5]	$-\,2^{8}\cdot 5^{3}\cdot 4209781811$	$3$	$12.214555267$	$867795.2892169062$			?	$S_{13}$ (as 13T9)	trivial	$2$	$7$	$115.220069967$
13.3.156408138976000.1	$x^{13} - 3 x^{12} + 3 x^{11} - 4 x^{10} + 4 x^{9} + 7 x^{8} - 20 x^{7} + 27 x^{6} - 35 x^{5} + 41 x^{4} - 36 x^{3} + 24 x^{2} - 12 x + 4$	$13$	[3,5]	$-\,2^{8}\cdot 5^{3}\cdot 137\cdot 599\cdot 59561$	$5$	$12.3556644027$	$935065.8145079553$			?	$S_{13}$ (as 13T9)	trivial	$2$	$7$	$127.407170199$
13.3.1990387975424000.1	$x^{13} - x^{12} - 4 x^{11} - 2 x^{10} + 6 x^{9} + 3 x^{8} - x^{7} - 6 x^{6} + x^{4} + x^{3} - 12 x^{2} - 3 x + 1$	$13$	[3,5]	$-\,2^{11}\cdot 5^{3}\cdot 84089\cdot 92461$	$4$	$15.0259301129$	$1179332.8112017198$			?	$S_{13}$ (as 13T9)	trivial	$2$	$7$	$942.961496704$
13.3.71106764206294000.1	$x^{13} - 2 x^{12} - x^{11} + 4 x^{10} + 4 x^{9} + 5 x^{8} - 27 x^{7} - 6 x^{6} - 16 x^{5} + 80 x^{4} + 27 x^{3} - 13 x^{2} - 84 x - 36$	$13$	[3,5]	$-\,2^{4}\cdot 5^{3}\cdot 241\cdot 147524407067$	$4$	$19.783395792$	$39874748.70457772$				$S_{13}$ (as 13T9)	trivial	$2$	$7$	$12644.711746$
14.0.860...920.1	$x^{14} - 2 x + 2$	$14$	[0,7]	$-\,2^{14}\cdot 5\cdot 23\cdot 4363\cdot 93703\cdot 111733$	$6$	$26.5409825386$				✓	$S_{14}$ (as 14T63)	trivial	$2$	$6$	$45781.1935337$
14.2.110...680.1	$x^{14} - 10 x^{6} - 10 x^{3} - 4 x - 2$	$14$	[2,6]	$2^{16}\cdot 3\cdot 5\cdot 24967\cdot 4517632501$	$5$	$27.0255716682$				?	$S_{14}$ (as 14T63)	trivial	$2$	$7$	$72965.8508871$
14.0.177...915.1	$x^{14} - x + 3$	$14$	[0,7]	$-\,5\cdot 30931193\cdot 114551855502431$	$3$	$38.8301618044$	$133101944971.77351$			✓	$S_{14}$ (as 14T63)	trivial	$2$	$6$	$668154.940798$
14.2.813...440.1	$x^{14} - 4 x - 2$	$14$	[2,6]	$2^{27}\cdot 3\cdot 5\cdot 17\cdot 31\cdot 76714539691$	$6$	$43.2982829655$				✓	$S_{14}$ (as 14T63)	trivial	$2$	$7$	$2957011.70752$
14.0.932...440.1	$x^{14} - 4 x + 8$	$14$	[0,7]	$-\,2^{12}\cdot 5\cdot 11\cdot 18313\cdot 84551\cdot 267224171$	$6$	$43.719672639$	$9045491670.484062$			?	$S_{14}$ (as 14T63)	trivial	$2$	$6$	$2710415.55319$
14.2.237...120.1	$x^{14} - 6 x + 3$	$14$	[2,6]	$2^{15}\cdot 3^{13}\cdot 5\cdot 90794709670391$	$4$	$64.9387697529$	$281108468.8506213$			✓	$S_{14}$ (as 14T63)	trivial	$2$	$7$	$57684199.0706$
14.2.237...360.1	$x^{14} - 6 x - 2$	$14$	[2,6]	$2^{14}\cdot 5\cdot 12739\cdot 22743508936429147$	$4$	$64.9422512215$				✓	$S_{14}$ (as 14T63)	trivial	$2$	$7$	$36875727.1745$
14.2.169...760.1	$x^{14} - 2 x - 8$	$14$	[2,6]	$2^{12}\cdot 5\cdot 17\cdot 31\cdot 3761\cdot 4180381614614671$	$6$	$74.7389738375$	$385943546341.8692$			?	$S_{14}$ (as 14T63)	trivial	$2$	$7$	$280773703.422$
14.2.205...965.1	$x^{14} - 7 x - 3$	$14$	[2,6]	$5\cdot 7^{14}\cdot 11\cdot 33623\cdot 163795469$	$5$	$75.7664057275$	$166283540.95220524$			✓	$S_{14}$ (as 14T63)	trivial	$2$	$7$	$147942156.473$
14.0.871...715.1	$x^{14} - 7 x + 7$	$14$	[0,7]	$-\,3\cdot 5\cdot 7^{14}\cdot 67\cdot 283\cdot 3727\cdot 1211827$	$7$	$84.0029713529$	$293105960.93526363$			✓	$S_{14}$ (as 14T63)	$[2]$	$2$	$6$	$72940786.0692$
14.0.107...355.1	$x^{14} - 3 x + 7$	$14$	[0,7]	$-\,5\cdot 2129\cdot 204931\cdot 493529492239158229$	$4$	$85.2828859298$	$32812038893093.797$			✓	$S_{14}$ (as 14T63)	trivial	$2$	$6$	$152674140.366$
14.0.107...360.1	$x^{14} - 2 x + 7$	$14$	[0,7]	$-\,2^{15}\cdot 3\cdot 5\cdot 229\cdot 5659\cdot 1690248843237413$	$6$	$85.2828940983$	$862235761920.1626$			✓	$S_{14}$ (as 14T63)	trivial	$2$	$6$	$327117591.886$
14.2.107...765.1	$x^{14} - x - 7$	$14$	[2,6]	$5\cdot 167\cdot 1657\cdot 778140528814030493687$	$4$	$85.2828941263$	$32812060967949.703$			✓	$S_{14}$ (as 14T63)	trivial	$2$	$7$	$264583269.722$
14.2.107...880.1	$x^{14} - 4 x - 7$	$14$	[2,6]	$2^{14}\cdot 5\cdot 101929\cdot 89344753\cdot 1443254947$	$5$	$85.2833541235$	$512707810236.12537$			✓	$S_{14}$ (as 14T63)	trivial	$2$	$7$	$292983219.734$
14.2.133...240.1	$x^{14} - 8 x + 2$	$14$	[2,6]	$2^{27}\cdot 5\cdot 11\cdot 59\cdot 307\cdot 28081\cdot 354770777$	$7$	$86.5896441514$				✓	$S_{14}$ (as 14T63)	trivial	$2$	$7$	$249718463.726$
14.2.133...480.1	$x^{14} - 8 x - 3$	$14$	[2,6]	$2^{14}\cdot 5\cdot 167\cdot 36209029\cdot 2689093360333$	$5$	$86.5897268325$	$570275367364.8695$			✓	$S_{14}$ (as 14T63)	trivial	$2$	$7$	$686321190.478$
14.0.152...480.1	$x^{14} - 6 x + 8$	$14$	[0,7]	$-\,2^{12}\cdot 5\cdot 293\cdot 1039\cdot 244004924113840013$	$5$	$87.4151185284$	$1155579219962.0247$			?	$S_{14}$ (as 14T63)	trivial	$2$	$6$	$951832038.935$
14.0.610...955.1	$x^{14} - x + 8$	$14$	[0,7]	$-\,5\cdot 19\cdot 28279\cdot 1181153\cdot 1925167492831147$	$5$	$96.5409559797$	$78159390710991.06$			✓	$S_{14}$ (as 14T63)	trivial	$2$	$6$	$784593033.47$
14.2.610...365.1	$x^{14} - 3 x - 8$	$14$	[2,6]	$5\cdot 43\cdot 337\cdot 18959\cdot 165297779\cdot 26903676223$	$6$	$96.5409576149$	$78159399978223.38$			✓	$S_{14}$ (as 14T63)	trivial	$2$	$7$	$851024891.79$
14.2.692...965.1	$x^{14} - 9 x + 3$	$14$	[2,6]	$3^{13}\cdot 5\cdot 19\cdot 31\cdot 255053\cdot 5785828481723$	$6$	$97.4133323547$	$182844461715.1342$			✓	$S_{14}$ (as 14T63)	trivial	$2$	$7$	$586657278.452$
14.2.692...205.1	$x^{14} - 9 x - 2$	$14$	[2,6]	$5\cdot 149\cdot 5653\cdot 110325469\cdot 14912404564037$	$5$	$97.4133502372$	$83239480081958.23$			✓	$S_{14}$ (as 14T63)	trivial	$2$	$7$	$1038828467.87$
14.2.800...645.1	$x^{14} - 9 x - 7$	$14$	[2,6]	$5\cdot 9017005487003\cdot 177563212305643$	$3$	$98.4235334285$	$89473137299690.72$			✓	$S_{14}$ (as 14T63)	trivial	$2$	$7$	$866921283.739$
15.15.596...600.1	$x^{15} - 90 x^{13} - 47 x^{12} + 2943 x^{11} + 3150 x^{10} - 41059 x^{9} - 67689 x^{8} + 208050 x^{7} + 505457 x^{6} - 128169 x^{5} - 1147200 x^{4} - 1017822 x^{3} - 210555 x^{2} + 90450 x + 31060$	$15$	[15,0]	$2^{6}\cdot 3^{20}\cdot 5^{2}\cdot 11^{6}\cdot 29\cdot 113^{6}$	$6$	$153.126840994$	$25772.82373673234$				$S_3\wr A_5$ (as 15T90)	trivial	$2$	$14$	$2965720678830$
18.0.629...000.1	$x^{18} - 18 x^{16} - 6 x^{15} + 135 x^{14} + 90 x^{13} - 522 x^{12} - 540 x^{11} + 999 x^{10} + 1652 x^{9} - 486 x^{8} - 2718 x^{7} - 1407 x^{6} + 2322 x^{5} + 2610 x^{4} - 864 x^{3} - 1728 x^{2} + 512$	$18$	[0,9]	$-\,2^{26}\cdot 3^{36}\cdot 5^{4}$	$3$	$35.0259789164$					$D_9^2:S_3$ (as 18T353)	trivial	$4$	$8$	$209810939.038$
18.8.845...375.1	$x^{18} - 45 x^{16} - 30 x^{15} + 549 x^{14} + 540 x^{13} - 2112 x^{12} + 180 x^{11} + 9837 x^{10} + 16372 x^{9} + 10152 x^{8} - 90828 x^{7} + 17655 x^{6} + 537678 x^{5} + 45054 x^{4} - 995568 x^{3} - 739215 x^{2} - 161190 x - 2593$	$18$	[8,5]	$-\,3^{36}\cdot 5^{3}\cdot 19^{7}\cdot 71^{2}$	$4$	$59.391726364$				?	$C_3^6.C_2\wr C_6$ (as 18T858)	trivial	$2$	$12$	$1514168250.72$
18.6.130...000.1	$x^{18} - 30 x^{16} - 24 x^{15} + 477 x^{14} + 1536 x^{13} - 4154 x^{12} - 15372 x^{11} + 17367 x^{10} + 55832 x^{9} - 82530 x^{8} - 73584 x^{7} + 325255 x^{6} - 55440 x^{5} - 446838 x^{4} + 398356 x^{3} - 16380 x^{2} - 598920 x + 59248$	$18$	[6,6]	$2^{12}\cdot 3^{27}\cdot 5^{3}\cdot 7^{14}\cdot 17^{3}$	$5$	$78.5663979433$					$C_3^5:\SOPlus(4,2)$ (as 18T600)	$[3]$	$2$	$11$	$57653159644.9$
18.6.130...000.2	$x^{18} - 30 x^{16} - 20 x^{15} + 369 x^{14} + 492 x^{13} - 2752 x^{12} - 5832 x^{11} + 12636 x^{10} + 43200 x^{9} - 10368 x^{8} - 161856 x^{7} - 157008 x^{6} + 165312 x^{5} + 490560 x^{4} + 476672 x^{3} + 241920 x^{2} + 64512 x + 7168$	$18$	[6,6]	$2^{12}\cdot 3^{27}\cdot 5^{3}\cdot 7^{14}\cdot 17^{3}$	$5$	$78.5663979433$					$C_3^5:\SOPlus(4,2)$ (as 18T600)	$[3]$	$2$	$11$	$24567917072.0$
18.6.950...000.1	$x^{18} - 36 x^{16} - 24 x^{15} + 432 x^{14} + 576 x^{13} - 2088 x^{12} - 3888 x^{11} + 4284 x^{10} + 10240 x^{9} - 5040 x^{7} - 13530 x^{6} - 32832 x^{5} + 9576 x^{4} + 63360 x^{3} + 7128 x^{2} - 1152 x - 1088$	$18$	[6,6]	$2^{49}\cdot 3^{38}\cdot 5^{3}$	$3$	$87.7448279329$					$C_3^6:(C_2^3:S_4)$ (as 18T822)	trivial	$2$	$11$	$484266827745$
18.4.146...375.1	$x^{18} - 9 x^{17} - 23 x^{16} + 300 x^{15} + 515 x^{14} - 4561 x^{13} - 10821 x^{12} + 31931 x^{11} + 128094 x^{10} - 8849 x^{9} - 656070 x^{8} - 1052332 x^{7} + 297296 x^{6} + 3208702 x^{5} + 5247365 x^{4} + 4745832 x^{3} + 2696725 x^{2} + 963650 x + 201125$	$18$	[4,7]	$-\,5^{3}\cdot 7^{12}\cdot 41^{4}\cdot 419^{3}\cdot 449^{4}$	$5$	$116.068361301$	$116773.46634277423$			?	$C_3^6.C_2\wr C_6$ (as 18T858)	trivial	$2$	$10$	$625949725971$
18.6.182...125.1	$x^{18} - 6 x^{17} + 83 x^{16} - 303 x^{15} + 1868 x^{14} - 5112 x^{13} + 3450 x^{12} - 16365 x^{11} - 158036 x^{10} + 756829 x^{9} - 2172674 x^{8} + 7909208 x^{7} - 17310950 x^{6} + 32536153 x^{5} - 56610364 x^{4} + 55766189 x^{3} - 33036927 x^{2} + 22791770 x - 9485596$	$18$	[6,6]	$5^{3}\cdot 23^{6}\cdot 53^{2}\cdot 79^{6}\cdot 229^{6}$	$5$	$151.755583299$	$10500.697357794863$			?	$C_3^6.C_2^4:S_4$ (as 18T863)	trivial	$2$	$11$	$15611149043400$
18.10.457...000.1	$x^{18} + 6 x^{16} - 2 x^{15} - 2169 x^{14} + 1446 x^{13} - 32533 x^{12} + 32292 x^{11} - 57096 x^{10} + 62972 x^{9} + 133380 x^{8} - 266916 x^{7} + 305149 x^{6} - 307242 x^{5} + 215475 x^{4} - 91936 x^{3} + 22815 x^{2} - 3042 x + 169$	$18$	[10,4]	$2^{18}\cdot 3^{21}\cdot 5^{3}\cdot 7^{13}\cdot 13^{10}$	$5$	$159.724840319$				?	$C_3^6:(C_2^3:A_4)$ (as 18T748)	trivial	$2$	$13$	$35096271656200$
18.2.713...625.1	$x^{18} - 18 x^{16} + 135 x^{14} - 546 x^{12} + 1287 x^{10} - 236 x^{9} - 1782 x^{8} + 2124 x^{7} + 1386 x^{6} - 6372 x^{5} - 540 x^{4} + 7080 x^{3} + 81 x^{2} - 2124 x + 548$	$18$	[2,8]	$3^{36}\cdot 5^{4}\cdot 11^{9}\cdot 19^{9}$	$4$	$186.055417475$					$D_9^2:C_6$ (as 18T338)	trivial	$2$	$9$	$511860458032000$
18.0.190...875.1	$x^{18} - 2 x^{17} - 27 x^{16} - 81 x^{15} + 357 x^{14} + 2314 x^{13} + 4922 x^{12} - 14851 x^{11} - 100104 x^{10} - 182734 x^{9} + 306874 x^{8} + 2105046 x^{7} + 4428199 x^{6} + 527321 x^{5} - 14345283 x^{4} - 19562857 x^{3} + 44005986 x^{2} + 71077904 x + 253965368$	$18$	[0,9]	$-\,5^{3}\cdot 7^{12}\cdot 71^{3}\cdot 67559689^{3}$	$4$	$196.51001666$	$566704.5384761484$				$C_3^6.C_2\wr C_6$ (as 18T858)	$[3462]$	$2$	$8$	$5191867755.7$
18.6.237...500.1	$x^{18} - 6 x^{17} + 9 x^{16} + 245 x^{15} - 1205 x^{14} + 1169 x^{13} + 14264 x^{12} - 51011 x^{11} + 21131 x^{10} + 92545 x^{9} - 39144 x^{8} - 96153 x^{7} - 120363 x^{6} + 273587 x^{5} + 142900 x^{4} - 81721 x^{3} - 251820 x^{2} - 138655 x - 21773$	$18$	[6,6]	$2^{2}\cdot 5^{3}\cdot 7^{6}\cdot 229^{6}\cdot 2557^{6}$	$5$	$226.029016231$	$7186.274315459749$			?	$C_3^6.C_2^4:S_4$ (as 18T863)	trivial	$2$	$11$	$433284734643000$
18.14.156...125.1	$x^{18} - 7 x^{17} - 186 x^{16} + 1723 x^{15} + 10520 x^{14} - 148030 x^{13} - 128075 x^{12} + 6238341 x^{11} - 9179842 x^{10} - 142052502 x^{9} + 428436693 x^{8} + 1751325803 x^{7} - 7808889969 x^{6} - 10234577601 x^{5} + 66678180397 x^{4} + 7459499703 x^{3} - 231410834259 x^{2} + 121782095080 x + 118405688339$	$18$	[14,2]	$5^{3}\cdot 7^{12}\cdot 181^{4}\cdot 290767856989^{2}$	$4$	$285.316850474$	$17721761618.775257$			?	$C_3^6:(C_4^3:C_6)$ (as 18T860)	$[3]$	$2$	$15$	$2330668655530000$
18.12.382...875.1	$x^{18} - 114 x^{16} - 81 x^{15} + 4869 x^{14} + 7695 x^{13} - 92125 x^{12} - 262926 x^{11} + 484818 x^{10} + 3805434 x^{9} + 9953298 x^{8} - 15182397 x^{7} - 193683687 x^{6} - 190026729 x^{5} + 1266123081 x^{4} + 2204790435 x^{3} - 1632273930 x^{2} - 2801275974 x + 1408281553$	$18$	[12,3]	$-\,5^{3}\cdot 7^{12}\cdot 41^{3}\cdot 419^{3}\cdot 1399^{3}\cdot 5419^{3}$	$6$	$340.682232817$	$2952915.8307289123$			?	$C_3^6.C_2\wr C_6$ (as 18T858)	$[2]$	$2$	$14$	$23357713403800000$
18.14.150...000.1	$x^{18} - 5 x^{17} - 203 x^{16} + 1142 x^{15} + 15452 x^{14} - 108199 x^{13} - 508578 x^{12} + 5241173 x^{11} + 2954394 x^{10} - 130752878 x^{9} + 257095451 x^{8} + 1345783175 x^{7} - 6394199290 x^{6} + 3317779364 x^{5} + 38092864911 x^{4} - 116310576690 x^{3} + 154126280400 x^{2} - 100322269664 x + 26004969766$	$18$	[14,2]	$2^{14}\cdot 5^{3}\cdot 7^{4}\cdot 229^{6}\cdot 145484985721^{2}$	$5$	$367.581769711$	$27098019144.64852$			?	$C_3^6.C_4^3:D_6$ (as 18T902)	trivial	$2$	$15$	$368524659136000000$
18.0.200...875.1	$x^{18} - 8 x^{17} - 1215 x^{16} + 28106 x^{15} + 1194915 x^{14} - 30499845 x^{13} - 559237788 x^{12} + 15070577733 x^{11} + 163470682269 x^{10} - 5968544550177 x^{9} - 20716220311425 x^{8} + 1668206162688246 x^{7} - 7495223397405660 x^{6} - 132445158025191507 x^{5} + 827409919361759100 x^{4} - 504481565375122563 x^{3} + 313145319790037256786 x^{2} - 4844841601915193463162 x + 24897356983928700240273$	$18$	[0,9]	$-\,3^{14}\cdot 5^{3}\cdot 31^{9}\cdot 37^{8}\cdot 77509^{4}$	$5$	$1039.3729196151507$				?	$C_3^5:D_6.\GL(2,\mathbb{Z}/4)$ (as 18T873)	not computed	$2$	$8$
18.18.132...000.1	$x^{18} - 798 x^{16} - 20 x^{15} + 224928 x^{14} + 7902 x^{13} - 27382043 x^{12} - 1718964 x^{11} + 1535006094 x^{10} + 323802374 x^{9} - 38438680059 x^{8} - 16252336464 x^{7} + 342450830059 x^{6} + 214284927690 x^{5} - 378671303319 x^{4} - 225075013068 x^{3} + 103749064524 x^{2} + 59285179728 x + 6587242192$	$18$	[18,0]	$2^{26}\cdot 3^{24}\cdot 5^{3}\cdot 229^{7}\cdot 691^{2}\cdot 595807^{2}$	$6$	$1154.42982458$					$C_3^6:(C_2^3:S_4)$ (as 18T817)	trivial	$2$	$17$	$8408996780400000000000$

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