Number field search results

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

Results (1-50 of 344 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
14.0.9095120158391.1	$x^{14} - 7 x^{13} + 25 x^{12} - 59 x^{11} + 103 x^{10} - 141 x^{9} + 159 x^{8} - 153 x^{7} + 129 x^{6} - 95 x^{5} + 58 x^{4} - 27 x^{3} + 10 x^{2} - 3 x + 1$	$14$	[0,7]	$-\,71^{7}$	$1$	$8.42614977318$	$8.426149773176359$		✓	?	$D_{7}$ (as 14T2)	trivial	$2$	$6$	$2.56161916129$
14.0.9669040949311.1	$x^{14} - x^{13} + 3 x^{12} - 6 x^{11} + 5 x^{10} - 9 x^{9} + 11 x^{8} - 7 x^{7} + 11 x^{6} - 9 x^{5} + 5 x^{4} - 6 x^{3} + 3 x^{2} - x + 1$	$14$	[0,7]	$-\,19^{2}\cdot 79\cdot 18413^{2}$	$3$	$8.46305933364$	$5257.1772844369625$			✓	$C_2^7.S_7$ (as 14T57)	trivial	$2$	$6$	$2.65828702774$
14.0.9745585291264.1	$x^{14} - 4 x^{13} + 7 x^{12} - 4 x^{11} - 8 x^{10} + 24 x^{9} - 30 x^{8} + 16 x^{7} + 13 x^{6} - 38 x^{5} + 46 x^{4} - 36 x^{3} + 19 x^{2} - 6 x + 1$	$14$	[0,7]	$-\,2^{14}\cdot 29^{6}$	$2$	$8.467827352511435$	$35.8520500359704$			✓	$C_7 \wr C_2$ (as 14T8)	trivial	$4$	$6$	$5.342840135225723$
14.0.9866941650479.1	$x^{14} - 3 x^{13} + 6 x^{12} - 11 x^{11} + 16 x^{10} - 21 x^{9} + 25 x^{8} - 25 x^{7} + 25 x^{6} - 21 x^{5} + 16 x^{4} - 11 x^{3} + 6 x^{2} - 3 x + 1$	$14$	[0,7]	$-\,167^{2}\cdot 191\cdot 1361^{2}$	$3$	$8.47531594932$	$6588.764451701093$			✓	$C_2^7.S_7$ (as 14T57)	trivial	$2$	$6$	$2.68866215877$
14.0.11856232199187.1	$x^{14} - x^{13} + x^{12} - x^{10} - x^{9} + x^{8} - x^{7} - x^{6} + 3 x^{5} - 2 x^{4} + x^{3} + x^{2} - x + 1$	$14$	[0,7]	$-\,3^{7}\cdot 5421231001$	$2$	$8.58723475068$	$127529.18490682829$			✓	$S_7\wr C_2$ (as 14T61)	trivial	$6$	$6$	$9.0466002324$
14.0.12985240103739.1	$x^{14} - x^{13} + x^{12} - 4 x^{11} + 4 x^{10} - 2 x^{9} + 5 x^{8} - 6 x^{7} + 2 x^{6} - 2 x^{5} + 5 x^{4} - 2 x^{3} - x + 1$	$14$	[0,7]	$-\,3^{7}\cdot 5937466897$	$2$	$8.64320868463$	$133463.10610427137$			✓	$S_7\wr C_2$ (as 14T61)	trivial	$6$	$6$	$9.5585171283$
14.0.13048447346663.1	$x^{14} - x^{13} + 2 x^{12} - 2 x^{11} + 2 x^{10} - 2 x^{9} + x^{8} - x^{7} + x^{6} - 2 x^{5} + 2 x^{4} - 2 x^{3} + 2 x^{2} - x + 1$	$14$	[0,7]	$-\,23\cdot 37^{2}\cdot 20357^{2}$	$3$	$8.64620704819$	$4162.1877660672635$			✓	$C_2^7.S_7$ (as 14T57)	trivial	$2$	$6$	$3.18798462168$
14.0.13824820988163.1	$x^{14} - 3 x^{13} + 8 x^{12} - 18 x^{11} + 32 x^{10} - 52 x^{9} + 70 x^{8} - 81 x^{7} + 82 x^{6} - 70 x^{5} + 52 x^{4} - 31 x^{3} + 16 x^{2} - 6 x + 1$	$14$	[0,7]	$-\,3^{7}\cdot 43^{6}$	$2$	$8.681975119007818$	$43.518753397811835$			?	$C_7 \wr C_2$ (as 14T8)	trivial	$6$	$6$	$9.923787361493524$
14.0.16973485041483.1	$x^{14} - 2 x^{13} + 2 x^{12} - 6 x^{11} + 8 x^{10} - 4 x^{9} + 9 x^{8} - 11 x^{7} + 6 x^{6} - 6 x^{5} + 5 x^{4} - 4 x^{3} + 2 x^{2} + 1$	$14$	[0,7]	$-\,3^{7}\cdot 37^{2}\cdot 2381^{2}$	$3$	$8.81015693246$	$514.0924041454026$			?	$S_7\times C_2$ (as 14T49)	trivial	$6$	$6$	$11.1445691239$
14.0.22139206005899.1	$x^{14} - 3 x^{13} + 4 x^{12} - 2 x^{11} + x^{10} - 4 x^{9} + 9 x^{8} - 11 x^{7} + 9 x^{6} - 4 x^{5} + x^{4} - 2 x^{3} + 4 x^{2} - 3 x + 1$	$14$	[0,7]	$-\,59\cdot 593^{2}\cdot 1033^{2}$	$3$	$8.97895634588$	$6011.786007502263$			✓	$C_2^7.S_7$ (as 14T57)	trivial	$2$	$6$	$4.38657959616$
14.0.28466647927227.1	$x^{14} - x^{13} + 2 x^{12} + 3 x^{11} - x^{10} + 4 x^{9} + 3 x^{8} + 2 x^{7} + 2 x^{4} - 2 x^{3} - x^{2} + 1$	$14$	[0,7]	$-\,3^{7}\cdot 114089^{2}$	$2$	$9.14163808258$	$585.0358963345753$			?	$S_7\times C_2$ (as 14T49)	trivial	$6$	$6$	$15.4833298742$
14.0.30270895108587.1	$x^{14} - 4 x^{13} + 6 x^{12} - 3 x^{11} - 6 x^{10} + 14 x^{9} - 12 x^{8} + 2 x^{7} + 10 x^{6} - 8 x^{5} - 3 x^{4} + x^{3} + 7 x^{2} - 5 x + 1$	$14$	[0,7]	$-\,3^{7}\cdot 7^{12}$	$2$	$9.181853855048184$	$48.67434595281677$			?	$C_7 \wr C_2$ (as 14T8)	trivial	$6$	$6$	$16.520791850817314$
14.0.51902598731283.1	$x^{14} - 2 x^{13} + 3 x^{12} - 6 x^{11} + 6 x^{10} - 4 x^{9} + 3 x^{8} + x^{7} - x^{5} + 3 x^{4} + 3 x^{2} + x + 1$	$14$	[0,7]	$-\,3^{11}\cdot 17117^{2}$	$2$	$9.54237247067$	$471.36278284837806$			?	$S_7\times C_2$ (as 14T49)	trivial	$6$	$6$	$27.6082700412$
14.0.56316949686099.1	$x^{14} - 2 x^{13} + 6 x^{12} - 11 x^{11} + 19 x^{10} - 26 x^{9} + 33 x^{8} - 35 x^{7} + 33 x^{6} - 26 x^{5} + 19 x^{4} - 10 x^{3} + 6 x^{2} - x + 1$	$14$	[0,7]	$-\,3^{7}\cdot 2953^{3}$	$2$	$9.59817157113$	$94.12226091632095$			✓	$D_7 \wr C_2$ (as 14T20)	trivial	$6$	$6$	$24.3506832156$
14.0.74532401109963.1	$x^{14} - x^{13} + 2 x^{12} - x^{11} + 2 x^{10} - 2 x^{9} + 2 x^{8} - 2 x^{7} - 3 x^{5} - x^{3} + 2 x^{2} + x + 1$	$14$	[0,7]	$-\,3^{7}\cdot 184607^{2}$	$2$	$9.79223424158$	$744.1915076107762$			?	$S_7\times C_2$ (as 14T49)	trivial	$6$	$6$	$26.6828967522$
14.0.76600746490099.1	$x^{14} - 2 x^{13} + 6 x^{12} - 8 x^{11} + 16 x^{10} - 17 x^{9} + 24 x^{8} - 21 x^{7} + 24 x^{6} - 17 x^{5} + 16 x^{4} - 8 x^{3} + 6 x^{2} - 2 x + 1$	$14$	[0,7]	$-\,13^{4}\cdot 19\cdot 109^{4}$	$3$	$9.811398801$	$164.0822964246905$			?	$C_2^7.\GL(3,2)$ (as 14T51)	trivial	$2$	$6$	$9.51678072789$
14.0.118236562059083.1	$x^{14} - 3 x^{13} + 2 x^{12} + 3 x^{11} - 5 x^{10} - x^{9} + x^{8} + 2 x^{7} + 11 x^{6} - 13 x^{5} + 6 x^{4} - 8 x^{3} + 4 x^{2} + 1$	$14$	[0,7]	$-\,13\cdot 71^{7}$	$2$	$10.1203738706$	$88.18920705302763$			?	$C_2\wr D_7$ (as 14T38)	trivial	$2$	$6$	$12.9746502268$
14.0.172575877556547.1	$x^{14} - x^{13} - x^{12} + 2 x^{10} + x^{9} - x^{8} - x^{7} - x^{6} + x^{5} + 2 x^{4} - x^{2} - x + 1$	$14$	[0,7]	$-\,3^{7}\cdot 280909^{2}$	$2$	$10.3974573916$	$918.0016339854739$			✓	$S_7\times C_2$ (as 14T49)	trivial	$6$	$6$	$55.4764206676$
14.0.263657868936003.1	$x^{14} + x^{12} - 2 x^{11} - x^{10} + 3 x^{7} - x^{4} - 2 x^{3} + x^{2} + 1$	$14$	[0,7]	$-\,3^{7}\cdot 103^{2}\cdot 3371^{2}$	$3$	$10.717027334$	$1020.6071722264154$			✓	$S_7\times C_2$ (as 14T49)	trivial	$6$	$6$	$73.5044803741$
14.0.280155320935227.1	$x^{14} - x^{13} + 2 x^{12} - x^{11} + 3 x^{10} - 4 x^{9} + 3 x^{8} - 4 x^{7} + 2 x^{6} - 4 x^{5} + 2 x^{4} + 5 x^{2} + 2 x + 1$	$14$	[0,7]	$-\,3^{7}\cdot 71^{6}$	$2$	$10.763587918$	$14.594519519326424$			?	$D_{14}$ (as 14T3)	trivial	$6$	$6$	$64.9438034848$
14.0.318497840669359.1	$x^{14} - 4 x^{13} + 8 x^{12} - 10 x^{11} + 15 x^{10} - 28 x^{9} + 42 x^{8} - 41 x^{7} + 32 x^{6} - 31 x^{5} + 37 x^{4} - 35 x^{3} + 21 x^{2} - 7 x + 1$	$14$	[0,7]	$-\,13^{4}\cdot 79\cdot 109^{4}$	$3$	$10.8626597908$	$334.57883973736296$			?	$C_2^7.\GL(3,2)$ (as 14T51)	trivial	$2$	$6$	$22.560872956$
14.0.407483719072587.1	$x^{14} - x^{13} + 4 x^{12} - x^{11} + 4 x^{10} + 2 x^{9} - 6 x^{8} + 3 x^{7} - 6 x^{6} + 2 x^{5} + 4 x^{4} - x^{3} + 4 x^{2} - x + 1$	$14$	[0,7]	$-\,3^{15}\cdot 73^{4}$	$2$	$11.0555233042$	$80.3310880644573$			?	$A_7\times C_2$ (as 14T47)	trivial	$6$	$6$	$96.5294199023$
14.0.445660887761159.1	$x^{14} - x^{13} + 6 x^{12} - 4 x^{11} + 12 x^{10} - 2 x^{9} + 11 x^{8} + 3 x^{7} + 11 x^{6} - 2 x^{5} + 12 x^{4} - 4 x^{3} + 6 x^{2} - x + 1$	$14$	[0,7]	$-\,7^{2}\cdot 71^{7}$	$2$	$11.1264716525$	$64.71318596135296$			?	$C_2^6:D_7$ (as 14T27)	trivial	$2$	$6$	$25.684570553$
14.0.489862582246303.1	$x^{14} - 5 x^{13} + 18 x^{12} - 44 x^{11} + 89 x^{10} - 140 x^{9} + 190 x^{8} - 209 x^{7} + 201 x^{6} - 156 x^{5} + 104 x^{4} - 55 x^{3} + 23 x^{2} - 7 x + 1$	$14$	[0,7]	$-\,7^{7}\cdot 29^{6}$	$2$	$11.201882659887865$	$47.427804193511$			?	$C_7 \wr C_2$ (as 14T8)	trivial	$2$	$6$	$30.78649932175806$
14.0.818418501973163.1	$x^{14} - x^{13} + x^{12} + x^{11} - 3 x^{10} + 7 x^{9} - 9 x^{8} + x^{7} + 13 x^{6} - 15 x^{5} + 4 x^{4} + 2 x^{3} - 2 x^{2} + 1$	$14$	[0,7]	$-\,7\cdot 13^{4}\cdot 29\cdot 109^{4}$	$4$	$11.6201713281$	$536.3310544803461$			?	$C_2^7.\GL(3,2)$ (as 14T51)	trivial	$2$	$6$	$39.7279937779$
14.0.951316069511168.1	$x^{14} - x^{13} + x^{12} + 3 x^{11} - 3 x^{10} - x^{9} + 5 x^{8} - 5 x^{7} + 2 x^{5} + 2 x^{3} + 2 x^{2} + 2$	$14$	[0,7]	$-\,2^{12}\cdot 23\cdot 317^{4}$	$3$	$11.7457389722$	$154.67469192665862$			?	$C_2^7.\GL(3,2)$ (as 14T51)	trivial	$2$	$6$	$114.877857314$
14.0.1044189123207139.1	$x^{14} - 3 x^{13} + 7 x^{12} - 14 x^{11} + 22 x^{10} - 29 x^{9} + 35 x^{8} - 37 x^{7} + 35 x^{6} - 29 x^{5} + 22 x^{4} - 14 x^{3} + 7 x^{2} - 3 x + 1$	$14$	[0,7]	$-\,7\cdot 13^{4}\cdot 37\cdot 109^{4}$	$4$	$11.8241502684$	$605.8077252726314$			✓	$C_2^7.\GL(3,2)$ (as 14T51)	trivial	$2$	$6$	$42.6568965409$
14.0.1044189123207139.2	$x^{14} - x^{13} + 5 x^{12} - 5 x^{11} + 7 x^{10} - 3 x^{9} - 2 x^{8} + 3 x^{7} - 2 x^{6} - 3 x^{5} + 7 x^{4} - 5 x^{3} + 5 x^{2} - x + 1$	$14$	[0,7]	$-\,7\cdot 13^{4}\cdot 37\cdot 109^{4}$	$4$	$11.8241502684$	$605.8077252726314$			✓	$C_2^7.\GL(3,2)$ (as 14T51)	trivial	$2$	$6$	$41.1800485196$
14.0.1092568542042991.1	$x^{14} - 6 x^{13} + 16 x^{12} - 27 x^{11} + 36 x^{10} - 40 x^{9} + 37 x^{8} - 32 x^{7} + 20 x^{6} - 3 x^{5} + x^{4} - 4 x^{3} + x + 1$	$14$	[0,7]	$-\,13^{4}\cdot 109^{4}\cdot 271$	$3$	$11.8624639758$	$619.6829834681602$			?	$C_2^7.\GL(3,2)$ (as 14T51)	trivial	$2$	$6$	$35.5450250635$
14.0.1100509539165311.1	$x^{14} + x^{12} - x^{11} + 9 x^{10} - 14 x^{9} + 29 x^{8} - 26 x^{7} + 33 x^{6} - 37 x^{5} + 34 x^{4} - 35 x^{3} + 24 x^{2} - 8 x + 1$	$14$	[0,7]	$-\,11^{2}\cdot 71^{7}$	$2$	$11.868601766$	$81.12227174365087$			?	$C_2^6:D_7$ (as 14T27)	trivial	$2$	$6$	$42.7570424883$
14.0.1341540892314911.1	$x^{14} - 4 x^{13} + 9 x^{12} - 14 x^{11} + 20 x^{10} - 26 x^{9} + 30 x^{8} - 31 x^{7} + 30 x^{6} - 26 x^{5} + 20 x^{4} - 14 x^{3} + 9 x^{2} - 4 x + 1$	$14$	[0,7]	$-\,23^{2}\cdot 239^{3}\cdot 431^{2}$	$3$	$12.0376894959$	$6052.028698996012$			✓	$C_2^7.S_7$ (as 14T57)	trivial	$2$	$6$	$40.7960239576$
14.0.1667731600838171.1	$x^{14} - 3 x^{13} + 5 x^{12} - 5 x^{11} + 3 x^{10} - 6 x^{9} + 12 x^{8} - 21 x^{7} + 25 x^{6} - 19 x^{5} + 14 x^{4} - 5 x^{3} + 4 x^{2} - x + 1$	$14$	[0,7]	$-\,11^{9}\cdot 29^{4}$	$2$	$12.2262909234$	$69.62404259846498$			?	$A_7\times C_2$ (as 14T47)	trivial	$2$	$6$	$84.1958965155$
14.0.1789940649848551.1	$x^{14} - 4 x^{13} + 6 x^{12} - 2 x^{11} - 9 x^{10} + 19 x^{9} - 16 x^{8} - 5 x^{7} + 25 x^{6} - 22 x^{5} + 41 x^{4} - 60 x^{3} + 23 x^{2} + 3 x + 9$	$14$	[0,7]	$-\,151^{7}$	$1$	$12.2882057274$	$12.288205727444508$		✓		$D_{7}$ (as 14T2)	trivial	$2$	$6$	$70.4788147496$
14.0.2098795051761664.1	$x^{14} + 3 x^{12} + x^{10} - 3 x^{8} + x^{6} + 7 x^{4} + 6 x^{2} + 1$	$14$	[0,7]	$-\,2^{14}\cdot 71^{6}$	$2$	$12.4287207638$	$16.852299546352718$			?	$D_{14}$ (as 14T3)	trivial	$4$	$6$	$104.988217999$
14.0.2098795051761664.2	$x^{14} - x^{12} - x^{10} + x^{8} - x^{6} - x^{4} + 2 x^{2} + 1$	$14$	[0,7]	$-\,2^{14}\cdot 71^{6}$	$2$	$12.4287207638$				✓	$C_2\wr D_7$ (as 14T38)	trivial	$2$	$6$	$56.1829028407$
14.0.2098795051761664.3	$x^{14} - x^{12} + 2 x^{10} - 2 x^{8} + x^{6} + 2 x^{4} - 3 x^{2} + 1$	$14$	[0,7]	$-\,2^{14}\cdot 71^{6}$	$2$	$12.428720763812146$				✓	$C_2\wr D_7$ (as 14T38)	trivial	$2$	$6$	$66.76587341351095$
14.0.3332000199986667.1	$x^{14} - 2 x^{13} - 3 x^{12} + 8 x^{11} + 3 x^{10} - 11 x^{9} - x^{8} + 7 x^{7} + 5 x^{6} + x^{5} - 5 x^{4} - 3 x^{3} + 4 x^{2} + 4 x + 1$	$14$	[0,7]	$-\,3^{7}\cdot 11^{4}\cdot 101^{4}$	$3$	$12.8459031741$	$57.73214009544424$			?	$\PGL(2,7)$ (as 14T16)	trivial	$6$	$6$	$358.769387668$
14.0.3911915096945863.1	$x^{14} - 5 x^{12} - 6 x^{11} + 8 x^{10} + 21 x^{9} + 14 x^{8} - 6 x^{7} - 13 x^{6} + x^{5} + 10 x^{4} + x^{3} - 2 x + 1$	$14$	[0,7]	$-\,7^{7}\cdot 41^{6}$	$2$	$12.9939772319$	$16.941074346097416$			?	$D_{14}$ (as 14T3)	trivial	$2$	$6$	$90.8322177609$
14.0.4247165798546875.1	$x^{14} - 2 x^{13} + 3 x^{12} - 7 x^{11} + 4 x^{10} + 9 x^{9} - 25 x^{7} + 13 x^{6} + 15 x^{5} + x^{4} - 16 x^{3} + x^{2} + 3 x + 1$	$14$	[0,7]	$-\,5^{6}\cdot 43^{7}$	$2$	$13.0705180468$	$14.66287829861518$			?	$D_{14}$ (as 14T3)	trivial	$2$	$6$	$83.0268971918$
14.0.5205914289462607.1	$x^{14} - 2 x^{13} + 2 x^{12} - 5 x^{11} + 8 x^{10} + 2 x^{9} - 6 x^{8} + 11 x^{7} - 3 x^{6} + 9 x^{5} + 18 x^{4} - 8 x^{3} + x^{2} + 14 x + 7$	$14$	[0,7]	$-\,7^{7}\cdot 43^{6}$	$2$	$13.261936054858854$	$66.47599386519646$			?	$C_7 \wr C_2$ (as 14T8)	trivial	$2$	$6$	$154.6496312968527$
14.0.6291359383496543.1	$x^{14} - 2 x^{13} + 3 x^{12} + 5 x^{11} - 21 x^{10} + 42 x^{9} - 29 x^{8} - 37 x^{7} + 177 x^{6} - 308 x^{5} + 385 x^{4} - 333 x^{3} + 217 x^{2} - 94 x + 23$	$14$	[0,7]	$-\,184607^{3}$	$1$	$13.4425527568$	$429.65916724771506$			?	$C_2^6.S_7$ (as 14T54)	trivial	$2$	$6$	$99.720339762$
14.0.8817149082834027.1	$x^{14} - x^{13} + 4 x^{12} + x^{11} + 6 x^{10} + 4 x^{9} + 10 x^{8} + 12 x^{6} - 5 x^{5} + 4 x^{4} - 7 x^{3} + 2 x^{2} - x + 1$	$14$	[0,7]	$-\,3^{7}\cdot 13^{4}\cdot 109^{4}$	$3$	$13.7705730417$	$65.19969325081216$			?	$\GL(3,2) \times C_2$ (as 14T19)	trivial	$6$	$6$	$415.648287609$
14.0.8817149082834027.2	$x^{14} - 2 x^{13} + 5 x^{12} - 6 x^{11} + 9 x^{10} - 7 x^{9} + 8 x^{8} - 3 x^{7} + 7 x^{6} + 7 x^{5} + 5 x^{4} + 3 x^{3} + 4 x^{2} - x + 1$	$14$	[0,7]	$-\,3^{7}\cdot 13^{4}\cdot 109^{4}$	$3$	$13.7705730417$	$65.19969325081216$			?	$\GL(3,2) \times C_2$ (as 14T19)	trivial	$6$	$6$	$415.648287609$
14.0.9176374064424843.1	$x^{14} - 4 x^{13} + 2 x^{12} + 11 x^{11} - 12 x^{10} - 27 x^{9} + 59 x^{8} + 9 x^{7} - 110 x^{6} + 92 x^{5} + 26 x^{4} - 80 x^{3} + 55 x^{2} - 22 x + 7$	$14$	[0,7]	$-\,3^{7}\cdot 127^{6}$	$2$	$13.809908258039735$	$110.10852872333544$			?	$C_7 \wr C_2$ (as 14T8)	trivial	$6$	$6$	$620.9879838596519$
14.0.11398895185373143.1	$x^{14} - 7 x^{13} + 21 x^{12} - 35 x^{11} + 42 x^{10} - 56 x^{9} + 77 x^{8} - 71 x^{7} + 49 x^{6} - 49 x^{5} + 35 x^{4} + 14 x^{2} - 21 x + 9$	$14$	[0,7]	$-\,7^{19}$	$1$	$14.0255134369$	$14.025513436926797$		✓		$D_{7}$ (as 14T2)	trivial	$2$	$6$	$226.193433966$
14.0.13256859160936448.1	$x^{14} - 2 x^{13} + 5 x^{12} - 6 x^{11} + 5 x^{10} - 6 x^{9} + 6 x^{8} - 12 x^{7} + 22 x^{6} + 2 x^{5} + 7 x^{4} + 28 x^{3} + 2 x^{2} - 4 x + 1$	$14$	[0,7]	$-\,2^{21}\cdot 43^{6}$	$2$	$14.17760600073894$	$71.06582671110044$			?	$C_7 \wr C_2$ (as 14T8)	trivial	$2$	$6$	$135.44305525773999$
14.0.15896284050080291.1	$x^{14} - 7 x^{13} + 16 x^{12} - 5 x^{11} - 33 x^{10} + 44 x^{9} + 6 x^{8} - 57 x^{7} + 39 x^{6} + 22 x^{5} - 36 x^{4} + 5 x^{3} + 11 x^{2} - 6 x + 1$	$14$	[0,7]	$-\,11^{7}\cdot 13^{8}$	$2$	$14.3626772393$	$18.336871607339905$			?	$F_7$ (as 14T4)	trivial	$2$	$6$	$386.477325881$
14.0.17391946147446784.1	$x^{14} - 2 x^{13} + 8 x^{12} - 18 x^{11} + 33 x^{10} - 66 x^{9} + 99 x^{8} - 136 x^{7} + 188 x^{6} - 192 x^{5} + 181 x^{4} - 150 x^{3} + 86 x^{2} - 28 x + 4$	$14$	[0,7]	$-\,2^{14}\cdot 101^{6}$	$2$	$14.4552254712$	$20.09975124224178$				$D_{14}$ (as 14T3)	trivial	$4$	$6$	$1052.31961458$
14.0.17976985715755339.1	$x^{14} - x^{13} + x^{12} - 3 x^{11} - 11 x^{10} - 11 x^{9} + 20 x^{7} + 60 x^{6} + 92 x^{5} + 96 x^{4} + 66 x^{3} + 30 x^{2} + 8 x + 1$	$14$	[0,7]	$-\,7^{3}\cdot 13^{5}\cdot 109^{4}$	$3$	$14.4894268022$	$99.5941765365827$			?	$C_2^4:\GL(3,2)$ (as 14T43)	trivial	$2$	$6$	$221.587337429$
14.0.19446011944726528.1	$x^{14} - 7 x^{13} + 21 x^{12} - 35 x^{11} + 35 x^{10} - 21 x^{9} + 7 x^{8} + x^{7} - 14 x^{6} + 28 x^{5} - 14 x^{4} - 14 x^{3} + 14 x^{2} + 2$	$14$	[0,7]	$-\,2^{12}\cdot 7^{15}$	$2$	$14.5709509521$	$15.985663254345006$			?	$F_7$ (as 14T4)	trivial	$2$	$6$	$717.383898726$