Number field search results

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

Results (1-50 of 183 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
14.0.807...643.1	$x^{14} - 2 x^{13} + 11 x^{12} - 6 x^{11} + 56 x^{10} - 28 x^{9} + 169 x^{8} - 7 x^{7} + 258 x^{6} - 117 x^{5} + 103 x^{4} - 16 x^{3} + 11 x^{2} - x + 1$	$14$	[0,7]	$-\,3^{7}\cdot 577^{6}$	$2$	$26.4193233404$	$41.60528812542944$	✓		?	$D_{14}$ (as 14T3)	$[13]$	$6$	$6$	$3819.15568006$
14.0.139...875.1	$x^{14} - 2 x^{13} + 11 x^{12} - 2 x^{11} + 55 x^{10} + 30 x^{9} + 249 x^{8} + 150 x^{7} + 899 x^{6} + 461 x^{5} + 1261 x^{4} - 355 x^{3} + 4985 x^{2} - 633 x + 1449$	$14$	[0,7]	$-\,5^{7}\cdot 151^{7}$	$2$	$27.477263328068172$	$27.477263328068172$				$D_{14}$ (as 14T3)	$[12]$	$2$	$6$	$6040.383945254705$
14.0.179...688.1	$x^{14} + 15 x^{12} + 90 x^{10} + 276 x^{8} + 457 x^{6} + 394 x^{4} + 153 x^{2} + 17$	$14$	[0,7]	$-\,2^{14}\cdot 17^{3}\cdot 23^{2}\cdot 64879^{2}$	$4$	$27.9687862124$		✓		✓	$C_2^7.S_7$ (as 14T57)	$[16]$	$2$	$6$	$1024.37524295$
14.0.459...464.1	$x^{14} + 19 x^{12} + 120 x^{10} + 344 x^{8} + 472 x^{6} + 284 x^{4} + 60 x^{2} + 4$	$14$	[0,7]	$-\,2^{30}\cdot 809^{4}$	$2$	$29.9162195082$	$241.07383726415875$	✓			$C_2^4:\GL(3,2)$ (as 14T43)	$[18]$	$2$	$6$	$9645.65360218$
14.2.524...152.1	$x^{14} - 4 x^{13} + 12 x^{12} - 22 x^{11} - 9 x^{10} + 140 x^{9} - 357 x^{8} + 590 x^{7} - 372 x^{6} - 316 x^{5} - 87 x^{4} + 620 x^{3} + 20 x^{2} - 144 x - 144$	$14$	[2,6]	$2^{21}\cdot 251^{6}$	$2$	$30.197889277591624$	$44.81071300481616$				$D_{14}$ (as 14T3)	$[13]$	$2$	$7$	$25500.957326558662$
14.0.302...880.1	$x^{14} + 18 x^{12} + 108 x^{10} + 300 x^{8} + 421 x^{6} + 290 x^{4} + 82 x^{2} + 5$	$14$	[0,7]	$-\,2^{14}\cdot 5\cdot 577^{6}$	$3$	$34.222953511$		✓		?	$C_2\wr D_7$ (as 14T38)	$[22]$	$2$	$6$	$3819.15568006$
14.0.400...736.1	$x^{14} + 16 x^{12} + 101 x^{10} + 319 x^{8} + 528 x^{6} + 438 x^{4} + 157 x^{2} + 16$	$14$	[0,7]	$-\,2^{12}\cdot 149^{4}\cdot 211^{4}$	$3$	$34.9153801173$		✓			$C_2^7.A_7$ (as 14T56)	$[2, 22]$	$2$	$6$	$12384.8322495$
14.0.423...232.1	$x^{14} + 22 x^{12} + 182 x^{10} + 736 x^{8} + 1564 x^{6} + 1740 x^{4} + 927 x^{2} + 175$	$14$	[0,7]	$-\,2^{14}\cdot 7\cdot 577^{6}$	$3$	$35.055422372$		✓		?	$C_2\wr D_7$ (as 14T38)	$[36]$	$2$	$6$	$3819.15568006$
14.0.579...744.1	$x^{14} + 25 x^{12} + 214 x^{10} + 767 x^{8} + 1194 x^{6} + 686 x^{4} + 53 x^{2} + 1$	$14$	[0,7]	$-\,2^{14}\cdot 29^{12}$	$2$	$35.852050036$	$35.8520500359704$	✓	✓	?	$C_{14}$ (as 14T1)	$[2, 2, 14]$	$4$	$6$	$6020.98510015$
14.0.579...744.3	$x^{14} + 16 x^{12} + 89 x^{10} + 212 x^{8} + 236 x^{6} + 119 x^{4} + 23 x^{2} + 1$	$14$	[0,7]	$-\,2^{14}\cdot 29^{12}$	$2$	$35.852050036$	$65.75294968032208$	✓		?	$C_2\times F_8$ (as 14T9)	$[2, 2, 8]$	$2$	$6$	$3010.49255007$
14.2.589...344.1	$x^{14} + 15 x^{12} + 80 x^{10} + 177 x^{8} + 133 x^{6} - 7 x^{4} - 14 x^{2} - 1$	$14$	[2,6]	$2^{6}\cdot 313^{8}$	$2$	$35.8953498941$	$130.38907924530898$				$C_2^3:F_8:C_3$ (as 14T35)	$[2, 6]$	$2$	$7$	$146720.997209$
14.0.735...424.1	$x^{14} + 18 x^{12} + 114 x^{10} + 316 x^{8} + 415 x^{6} + 254 x^{4} + 64 x^{2} + 4$	$14$	[0,7]	$-\,2^{34}\cdot 809^{4}$	$2$	$36.4682800627$	$331.2242780158087$	✓		?	$C_2^7.\GL(3,2)$ (as 14T51)	$[2, 24]$	$2$	$6$	$9645.65360218$
14.0.948...443.1	$x^{14} - 6 x^{13} + 31 x^{12} - 114 x^{11} + 456 x^{10} - 1302 x^{9} + 2224 x^{8} - 2286 x^{7} - 167 x^{6} + 2742 x^{5} + 2661 x^{4} - 5355 x^{3} + 3546 x^{2} - 1377 x + 243$	$14$	[0,7]	$-\,3^{7}\cdot 1277^{6}$	$2$	$37.13515984310902$	$61.89507250177513$			?	$D_{14}$ (as 14T3)	$[13]$	$6$	$6$	$67126.19412353905$
14.0.147...848.1	$x^{14} + 18 x^{12} + 110 x^{10} + 304 x^{8} + 407 x^{6} + 262 x^{4} + 76 x^{2} + 8$	$14$	[0,7]	$-\,2^{35}\cdot 809^{4}$	$2$	$38.3192873761$	$340.92989019229776$	✓		?	$C_2^7.\GL(3,2)$ (as 14T51)	$[2, 10]$	$2$	$6$	$19291.3072044$
14.0.160...936.1	$x^{14} - 4 x^{13} + 10 x^{12} + 8 x^{11} - 92 x^{10} + 358 x^{9} + 77 x^{8} - 1708 x^{7} + 3073 x^{6} + 2948 x^{5} - 8388 x^{4} + 5220 x^{3} + 12202 x^{2} - 12582 x + 10685$	$14$	[0,7]	$-\,2^{14}\cdot 997^{6}$	$2$	$38.5642654434825$	$63.150613615387776$				$D_{14}$ (as 14T3)	$[13]$	$4$	$6$	$326510.07883809815$
14.0.164...144.1	$x^{14} - 3 x^{13} + 9 x^{12} - 22 x^{11} + 6 x^{10} - 28 x^{9} + 260 x^{8} - 644 x^{7} + 2790 x^{6} - 9926 x^{5} + 21718 x^{4} - 38692 x^{3} + 57091 x^{2} - 51553 x + 19325$	$14$	[0,7]	$-\,2^{18}\cdot 251^{7}$	$2$	$38.62561671085002$	$44.81071300481616$				$D_{14}$ (as 14T3)	$[91]$	$2$	$6$	$28933.198931899944$
14.0.169...120.1	$x^{14} + 25 x^{12} + 159 x^{10} + 423 x^{8} + 527 x^{6} + 299 x^{4} + 69 x^{2} + 5$	$14$	[0,7]	$-\,2^{22}\cdot 5\cdot 73^{8}$	$3$	$38.7016503509$		✓		?	$C_2\wr C_7:C_3$ (as 14T44)	$[20]$	$2$	$6$	$22194.7968555$
14.0.174...007.1	$x^{14} - 3 x^{13} + 15 x^{12} - 2 x^{11} + 9 x^{10} + 7 x^{9} + 286 x^{8} - 387 x^{7} - 107 x^{6} + 294 x^{5} - 113 x^{4} - 819 x^{3} - 3 x^{2} + 686 x + 392$	$14$	[0,7]	$-\,13^{6}\cdot 167^{7}$	$2$	$38.793818485352254$	$46.593991028886975$				$D_{14}$ (as 14T3)	$[11]$	$2$	$6$	$385291.93258645927$
14.0.175...307.1	$x^{14} - 6 x^{13} + 23 x^{12} - 61 x^{11} + 81 x^{10} - 2 x^{9} - 151 x^{8} - 39 x^{7} + 1573 x^{6} - 4136 x^{5} + 5898 x^{4} - 6625 x^{3} + 5157 x^{2} - 2613 x + 1629$	$14$	[0,7]	$-\,3^{6}\cdot 587^{7}$	$2$	$38.797128956103116$	$41.96427051671457$	✓			$D_{14}$ (as 14T3)	$[49]$	$2$	$6$	$65193.82492517629$
14.0.224...343.1	$x^{14} - x^{13} + 16 x^{12} - 17 x^{11} + 66 x^{10} - 84 x^{9} + 38 x^{8} - 315 x^{7} + 65 x^{6} - 503 x^{5} + 1556 x^{4} + 665 x^{3} + 2377 x^{2} - 3516 x + 1681$	$14$	[0,7]	$-\,3^{7}\cdot 29^{13}$	$2$	$39.4913177365$	$39.49131773649383$	✓	✓	?	$C_{14}$ (as 14T1)	$[2, 2, 2, 6]$	$2$	$6$	$6020.98510015$
14.0.226...584.1	$x^{14} - 2 x^{13} + 22 x^{12} - 54 x^{11} + 240 x^{10} - 648 x^{9} + 1498 x^{8} - 4160 x^{7} + 6684 x^{6} - 13264 x^{5} + 20352 x^{4} - 22164 x^{3} + 30700 x^{2} - 15156 x + 14300$	$14$	[0,7]	$-\,2^{12}\cdot 19^{3}\cdot 73^{8}$	$3$	$39.5184824981$	$137.91698393393153$	✓		?	$F_8:C_6$ (as 14T18)	$[18]$	$2$	$6$	$22194.7968555$
14.2.243...761.1	$x^{14} - 7 x^{13} + 47 x^{12} - 191 x^{11} + 665 x^{10} - 1741 x^{9} + 3682 x^{8} - 6097 x^{7} + 7180 x^{6} - 5712 x^{5} - 237 x^{4} + 5464 x^{3} - 8890 x^{2} + 5836 x - 2477$	$14$	[2,6]	$29^{12}\cdot 41^{3}$	$2$	$39.726521457$	$114.78256527348866$			?	$C_2 \wr C_7$ (as 14T29)	$[2, 6]$	$2$	$7$	$22485.4239303$
14.0.530...127.1	$x^{14} - x^{12} - 3 x^{11} + 24 x^{10} - 39 x^{9} + 106 x^{8} + 69 x^{7} + 225 x^{6} - 123 x^{5} + 585 x^{4} - 290 x^{3} - 421 x^{2} + 89 x + 382$	$14$	[0,7]	$-\,7^{11}\cdot 173^{6}$	$2$	$41.9921603836$	$66.56890576566373$	✓		?	$F_7 \times C_2$ (as 14T7)	$[14]$	$2$	$6$	$93324.5652468$
14.0.541...984.1	$x^{14} + 22 x^{12} + 188 x^{10} + 780 x^{8} + 1584 x^{6} + 1352 x^{4} + 288 x^{2} + 16$	$14$	[0,7]	$-\,2^{26}\cdot 73^{8}$	$2$	$42.0544179266$	$111.8267197053445$	✓		?	$F_8:C_6$ (as 14T18)	$[48]$	$2$	$6$	$11097.3984277$
14.0.930...344.1	$x^{14} - 2 x^{13} + 10 x^{12} - 24 x^{11} + 62 x^{10} - 92 x^{9} + 242 x^{8} - 328 x^{7} + 526 x^{6} - 84 x^{5} + 640 x^{4} - 104 x^{3} + 688 x^{2} + 232 x + 356$	$14$	[0,7]	$-\,2^{28}\cdot 809^{5}$	$2$	$43.7132437668$	$143.34336125777284$	✓		?	$C_2\times \GL(3,2)$ (as 14T17)	$[2, 32]$	$2$	$6$	$19291.3072044$
14.0.930...344.2	$x^{14} - 6 x^{13} + 32 x^{12} - 144 x^{11} + 567 x^{10} - 1958 x^{9} + 5542 x^{8} - 13788 x^{7} + 29425 x^{6} - 51950 x^{5} + 73504 x^{4} - 79680 x^{3} + 67601 x^{2} - 35622 x + 17902$	$14$	[0,7]	$-\,2^{28}\cdot 809^{5}$	$2$	$43.7132437668$	$143.34336125777284$	✓		?	$C_2\times \GL(3,2)$ (as 14T17)	$[2, 32]$	$2$	$6$	$19291.3072044$
14.0.104...832.1	$x^{14} - 7 x^{13} + 33 x^{12} - 107 x^{11} + 267 x^{10} - 521 x^{9} + 867 x^{8} - 1233 x^{7} + 1044 x^{6} - 128 x^{5} - 3268 x^{4} + 5916 x^{3} + 20848 x^{2} - 23712 x + 45952$	$14$	[0,7]	$-\,2^{18}\cdot 3^{7}\cdot 109^{7}$	$3$	$44.08719236003954$	$51.146847410177685$				$D_{14}$ (as 14T3)	$[12]$	$2$	$6$	$12550796.56413745$
14.0.140...751.1	$x^{14} - 2 x^{13} + 41 x^{12} - 82 x^{11} + 889 x^{10} - 2165 x^{9} + 13716 x^{8} - 34620 x^{7} + 136444 x^{6} - 290952 x^{5} + 750275 x^{4} - 1167525 x^{3} + 1937335 x^{2} - 1728557 x + 1560373$	$14$	[0,7]	$-\,107^{5}\cdot 21557^{3}$	$2$	$45.0200517149$	$4884.6336180096205$			?	$C_2^6.S_7$ (as 14T54)	$[14]$	$2$	$6$	$23545.172771$
14.0.168...576.1	$x^{14} + 29 x^{12} + 290 x^{10} + 1247 x^{8} + 2262 x^{6} + 1566 x^{4} + 377 x^{2} + 29$	$14$	[0,7]	$-\,2^{14}\cdot 29^{13}$	$2$	$45.6006458516$	$45.60064585163551$	✓	✓	?	$C_{14}$ (as 14T1)	$[2, 2, 2, 6]$	$2$	$6$	$6020.98510015$
14.0.168...576.2	$x^{14} + 29 x^{12} + 348 x^{10} + 2233 x^{8} + 8236 x^{6} + 17342 x^{4} + 19111 x^{2} + 8381$	$14$	[0,7]	$-\,2^{14}\cdot 29^{13}$	$2$	$45.6006458516$	$83.63195323738817$	✓		?	$C_2\times F_8$ (as 14T9)	$[2, 2, 2, 12]$	$2$	$6$	$6020.98510015$
14.0.168...576.3	$x^{14} - 2 x^{13} + 6 x^{12} + 38 x^{11} - 46 x^{10} + 96 x^{9} + 286 x^{8} - 242 x^{7} + 574 x^{6} + 390 x^{5} + 722 x^{4} + 80 x^{3} + 1269 x^{2} + 1120 x + 784$	$14$	[0,7]	$-\,2^{14}\cdot 29^{13}$	$2$	$45.60064585163551$	$45.60064585163551$				$D_{14}$ (as 14T3)	$[42]$	$2$	$6$	$233765.9853686361$
14.0.291...263.1	$x^{14} - 5 x^{13} - x^{12} + 41 x^{11} - 266 x^{9} + 682 x^{8} - 1271 x^{7} + 3346 x^{6} - 5784 x^{5} + 12267 x^{4} - 10251 x^{3} + 20954 x^{2} - 13581 x + 22271$	$14$	[0,7]	$-\,7^{7}\cdot 29^{12}$	$2$	$47.4278041935$	$47.427804193511$	✓	✓	?	$C_{14}$ (as 14T1)	$[2, 2, 14]$	$2$	$6$	$6020.98510015$
14.0.420...503.1	$x^{14} - x^{13} + 32 x^{12} - 18 x^{11} + 409 x^{10} - 205 x^{9} + 2904 x^{8} - 1684 x^{7} + 12433 x^{6} - 10515 x^{5} + 29432 x^{4} - 30472 x^{3} + 24968 x^{2} - 27872 x + 21632$	$14$	[0,7]	$-\,13^{6}\cdot 263^{7}$	$2$	$48.68354200339477$	$58.47221562417487$				$D_{14}$ (as 14T3)	$[13]$	$2$	$6$	$1814651.3396694546$
14.0.654...984.1	$x^{14} + 37 x^{12} + 470 x^{10} + 2787 x^{8} + 8570 x^{6} + 13714 x^{4} + 10241 x^{2} + 2401$	$14$	[0,7]	$-\,2^{14}\cdot 43^{12}$	$2$	$50.251127978$	$50.25112797804721$	✓	✓	?	$C_{14}$ (as 14T1)	$[43]$	$4$	$6$	$35991.6418506$
14.0.734...823.1	$x^{14} - 2 x^{13} + 35 x^{12} - 2 x^{11} + 511 x^{10} + 804 x^{9} + 3006 x^{8} + 10062 x^{7} + 10229 x^{6} - 16084 x^{5} - 36101 x^{4} + 294620 x^{3} + 1592435 x^{2} - 1840794 x + 4841037$	$14$	[0,7]	$-\,17^{7}\cdot 151^{7}$	$2$	$50.665570163573605$	$50.665570163573605$				$D_{14}$ (as 14T3)	$[44]$	$2$	$6$	$117550.94251156892$
14.0.774...847.1	$x^{14} - 6 x^{13} + 25 x^{12} - 65 x^{11} + 245 x^{10} - 425 x^{9} + 1507 x^{8} - 1505 x^{7} + 6795 x^{6} - 2867 x^{5} + 19823 x^{4} - 24139 x^{3} + 15856 x^{2} - 35101 x + 25264$	$14$	[0,7]	$-\,7^{7}\cdot 13^{6}\cdot 41^{7}$	$3$	$50.856356429917035$	$61.08191221630181$				$D_{14}$ (as 14T3)	$[14]$	$2$	$6$	$2610900.0620850464$
14.0.934...472.1	$x^{14} - 6 x^{13} + 18 x^{12} - 46 x^{11} + 200 x^{10} - 898 x^{9} + 2738 x^{8} - 5002 x^{7} + 3675 x^{6} + 5640 x^{5} - 17236 x^{4} + 13720 x^{3} + 10252 x^{2} - 27744 x + 16992$	$14$	[0,7]	$-\,2^{18}\cdot 3^{7}\cdot 149^{7}$	$3$	$51.54568642453861$	$59.799665550904216$				$D_{14}$ (as 14T3)	$[14]$	$2$	$6$	$35828155.15654164$
14.0.116...111.1	$x^{14} - x^{13} + 3 x^{12} - 11 x^{11} + 44 x^{10} + 156 x^{9} - 250 x^{8} - 749 x^{7} + 1560 x^{6} + 4490 x^{5} + 3202 x^{4} + 755 x^{3} + 4050 x^{2} + 1750 x + 625$	$14$	[0,7]	$-\,71^{13}$	$1$	$52.3631313224$	$52.36313132243401$	✓	✓		$C_{14}$ (as 14T1)	$[49]$	$2$	$6$	$315114.696625$
14.0.189...232.1	$x^{14} + 26 x^{12} + 256 x^{10} + 1188 x^{8} + 2658 x^{6} + 2741 x^{4} + 1081 x^{2} + 48$	$14$	[0,7]	$-\,2^{12}\cdot 3\cdot 7^{8}\cdot 173^{6}$	$4$	$54.2227552122$	$235.79107679489636$	✓		?	$C_2\wr F_7$ (as 14T48)	$[30]$	$2$	$6$	$93324.5652468$
14.0.195...375.1	$x^{14} - 6 x^{13} - x^{12} + 105 x^{11} - 215 x^{10} - 555 x^{9} + 2321 x^{8} - 201 x^{7} - 9326 x^{6} + 10605 x^{5} + 11540 x^{4} - 27660 x^{3} + 9504 x^{2} - 3024 x + 20736$	$14$	[0,7]	$-\,5^{6}\cdot 743^{7}$	$2$	$54.33166073724768$	$60.95079983068311$				$D_{14}$ (as 14T3)	$[21]$	$2$	$6$	$5896322.766514423$
14.0.257...976.1	$x^{14} + 32 x^{12} + 392 x^{10} + 2428 x^{8} + 8228 x^{6} + 15052 x^{4} + 13232 x^{2} + 3844$	$14$	[0,7]	$-\,2^{20}\cdot 199^{8}$	$2$	$55.42084974121413$	$118.9865348040865$	✓		?	$F_8:C_6$ (as 14T18)	$[80]$	$2$	$6$	$113339.86168168049$
14.0.313...984.1	$x^{14} + 42 x^{12} + 623 x^{10} + 4431 x^{8} + 16513 x^{6} + 31906 x^{4} + 28784 x^{2} + 9409$	$14$	[0,7]	$-\,2^{14}\cdot 7^{24}$	$2$	$56.204293477$	$56.204293476975465$	✓	✓	?	$C_{14}$ (as 14T1)	$[71]$	$4$	$6$	$35256.6897369$
14.0.324...375.1	$x^{14} - 2 x^{13} + x^{12} - 31 x^{11} + 72 x^{10} - 115 x^{9} + 1961 x^{8} - 6474 x^{7} + 8955 x^{6} - 1973 x^{5} - 18552 x^{4} + 32415 x^{3} - 4598 x^{2} - 5420 x + 33760$	$14$	[0,7]	$-\,5^{6}\cdot 17^{7}\cdot 47^{7}$	$3$	$56.341961554279415$	$63.20601237224193$				$D_{14}$ (as 14T3)	$[16]$	$2$	$6$	$11684824.877954872$
14.2.401...048.1	$x^{14} - 4 x^{13} - 9 x^{12} + 26 x^{11} - 13 x^{10} - 12 x^{9} + 954 x^{8} + 1344 x^{7} + 1088 x^{6} + 10168 x^{5} + 17064 x^{4} - 4640 x^{3} - 14576 x^{2} + 2976 x - 576$	$14$	[2,6]	$2^{12}\cdot 997^{7}$	$2$	$57.19700516424317$	$63.150613615387776$				$D_{14}$ (as 14T3)	$[13]$	$2$	$7$	$3931980.3917854074$
14.2.403...237.1	$x^{14} - 4 x^{13} + 26 x^{12} - 52 x^{11} + 184 x^{10} - 60 x^{9} + 481 x^{8} + 1295 x^{7} - 1747 x^{6} + 7874 x^{5} - 16853 x^{4} + 6810 x^{3} - 4731 x^{2} - 18558 x + 43047$	$14$	[2,6]	$3^{6}\cdot 1277^{7}$	$2$	$57.223706739814574$	$61.89507250177513$				$D_{14}$ (as 14T3)	$[13]$	$2$	$7$	$590474.9107991656$
14.2.471...241.1	$x^{14} - 5 x^{13} + 67 x^{12} - 227 x^{11} + 1616 x^{10} - 3926 x^{9} + 18994 x^{8} - 35611 x^{7} + 117192 x^{6} - 204216 x^{5} + 329208 x^{4} - 841056 x^{3} + 191744 x^{2} - 1853568 x + 318848$	$14$	[2,6]	$17^{5}\cdot 23^{3}\cdot 64879^{3}$	$3$	$57.8642115396$	$5036.634689949233$			?	$C_2^6.S_7$ (as 14T54)	$[4, 16]$	$2$	$7$	$54512.7529812$
14.0.599...552.1	$x^{14} - 2 x^{13} + 7 x^{12} + 14 x^{11} + 8 x^{10} + 110 x^{9} + 531 x^{8} - 846 x^{7} + 3036 x^{6} + 6098 x^{5} + 17435 x^{4} + 1034 x^{3} + 70183 x^{2} + 131992 x + 295096$	$14$	[0,7]	$-\,2^{21}\cdot 3^{13}\cdot 13^{11}$	$3$	$58.86096311407491$	$66.50775457802317$	✓		?	$F_7 \times C_2$ (as 14T7)	$[2, 14]$	$2$	$6$	$344206.3604135871$
14.0.797...344.1	$x^{14} - 7 x^{13} - 7 x^{12} + 119 x^{11} - 147 x^{10} - 147 x^{9} + 3619 x^{8} - 3525 x^{7} - 46746 x^{6} - 89096 x^{5} + 122850 x^{4} + 1088304 x^{3} + 2562392 x^{2} + 3225306 x + 1986282$	$14$	[0,7]	$-\,2^{12}\cdot 7^{15}\cdot 17^{7}$	$3$	$60.0775698413$	$65.91057809321941$			?	$F_7 \times C_2$ (as 14T7)	$[70]$	$2$	$6$	$586054.4598201141$
14.0.845...627.2	$x^{14} - x^{13} + 16 x^{12} - 46 x^{11} + 182 x^{10} - 548 x^{9} + 386 x^{8} - 2519 x^{7} + 3052 x^{6} + 2252 x^{5} + 18289 x^{4} + 12584 x^{3} + 18153 x^{2} + 2835 x + 5103$	$14$	[0,7]	$-\,7^{7}\cdot 29^{13}$	$2$	$60.32398427367838$	$60.32398427367838$				$D_{14}$ (as 14T3)	$[28]$	$2$	$6$	$1716733.585832932$
14.0.103...304.1	$x^{14} - 6 x^{12} - 12 x^{11} + 25 x^{10} + 194 x^{9} - 148 x^{8} - 1002 x^{7} + 701 x^{6} + 1638 x^{5} - 1132 x^{4} + 1068 x^{3} + 493 x^{2} - 478 x + 6352$	$14$	[0,7]	$-\,2^{14}\cdot 11^{5}\cdot 89^{8}$	$3$	$61.219968429931946$	$148.4196290986698$	✓			$C_2\times \GL(3,2)$ (as 14T17)	$[34]$	$2$	$6$	$1183415.1040100076$