Number field search results

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

Results (48 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
14.10.51074220604765625.1	$x^{14} - x^{13} - 6 x^{12} + 5 x^{11} + 14 x^{10} - 19 x^{9} - 2 x^{8} + 42 x^{7} - 35 x^{6} - 44 x^{5} + 40 x^{4} + 19 x^{3} - 12 x^{2} - 2 x + 1$	$14$	[10,2]	$5^{7}\cdot 859\cdot 761059399$	$3$	$15.6114406379$	$1807968.5060047368$			?	$S_7\wr C_2$ (as 14T61)	trivial	$2$	$11$	$1657.98192982$
14.10.61162027905113369.1	$x^{14} - x^{13} - 9 x^{12} + 4 x^{11} + 15 x^{10} - 6 x^{9} + 17 x^{8} - 16 x^{7} - 41 x^{6} + 54 x^{5} - 6 x^{4} - 27 x^{3} + 23 x^{2} - 8 x + 1$	$14$	[10,2]	$13^{2}\cdot 53^{2}\cdot 2729\cdot 6871^{2}$	$4$	$15.8137336512$	$113663.58586196373$			?	$C_2^7.S_7$ (as 14T57)	trivial	$2$	$11$	$1824.02007334$
14.10.81799439172384353.1	$x^{14} - 4 x^{13} - 2 x^{12} + 26 x^{11} - 21 x^{10} - 59 x^{9} + 86 x^{8} + 63 x^{7} - 114 x^{6} - 49 x^{5} + 61 x^{4} + 30 x^{3} - 9 x^{2} - 7 x - 1$	$14$	[10,2]	$7^{2}\cdot 17^{7}\cdot 2017^{2}$	$3$	$16.1455779131$	$489.9214222709597$			?	$S_7\times C_2$ (as 14T49)	trivial	$2$	$11$	$2168.86963137$
14.10.87169416344387584.1	$x^{14} - 8 x^{12} + 22 x^{10} - 23 x^{8} + 7 x^{6} - 5 x^{4} + 6 x^{2} - 1$	$14$	[10,2]	$2^{14}\cdot 107^{2}\cdot 21557^{2}$	$3$	$16.2190723036$				✓	$C_2^6.S_7$ (as 14T55)	trivial	$2$	$11$	$2219.07505184$
14.10.91965715396182016.1	$x^{14} - 7 x^{12} + 20 x^{10} - 35 x^{8} + 44 x^{6} - 33 x^{4} + 10 x^{2} - 1$	$14$	[10,2]	$2^{14}\cdot 23^{2}\cdot 239^{2}\cdot 431^{2}$	$4$	$16.2812433694$				✓	$C_2^6.S_7$ (as 14T55)	trivial	$2$	$11$	$2311.68589642$
14.10.150...125.1	$x^{14} - 2 x^{13} - 10 x^{12} + 23 x^{11} + 31 x^{10} - 96 x^{9} - 18 x^{8} + 176 x^{7} - 64 x^{6} - 133 x^{5} + 99 x^{4} + 21 x^{3} - 37 x^{2} + 11 x - 1$	$14$	[10,2]	$5^{7}\cdot 44959\cdot 42769271$	$3$	$16.8620314257$	$3100696.417652815$			?	$S_7\wr C_2$ (as 14T61)	trivial	$2$	$11$	$3153.16859959$
14.10.185...369.1	$x^{14} - 7 x^{13} + 15 x^{12} - 42 x^{10} + 54 x^{9} - 10 x^{8} - 34 x^{7} + 33 x^{6} - 9 x^{5} - 6 x^{4} + 12 x^{3} - 2 x^{2} - 5 x - 1$	$14$	[10,2]	$17^{4}\cdot 23^{2}\cdot 64879^{2}$	$3$	$17.1211460625$	$5036.634689949233$			✓	$C_2^6.S_7$ (as 14T55)	trivial	$2$	$11$	$3640.02732209$
14.10.214...125.1	$x^{14} - 3 x^{13} - 4 x^{12} + 21 x^{11} - 6 x^{10} - 50 x^{9} + 45 x^{8} + 46 x^{7} - 70 x^{6} - 10 x^{5} + 46 x^{4} - 4 x^{3} - 13 x^{2} + x + 1$	$14$	[10,2]	$5^{7}\cdot 2747585586881$	$2$	$17.297427483$	$3706471.089109559$			?	$S_7\wr C_2$ (as 14T61)	trivial	$2$	$11$	$3715.13344868$
14.10.298...125.1	$x^{14} - 12 x^{12} - x^{11} + 54 x^{10} + 8 x^{9} - 116 x^{8} - 22 x^{7} + 127 x^{6} + 25 x^{5} - 69 x^{4} - 11 x^{3} + 15 x^{2} + x - 1$	$14$	[10,2]	$5^{7}\cdot 31\cdot 79\cdot 1561300249$	$4$	$17.7105982575$	$4372427.420667495$			?	$S_7\wr C_2$ (as 14T61)	trivial	$2$	$11$	$4735.25806339$
14.10.340...409.1	$x^{14} - 7 x^{13} + 14 x^{12} - 16 x^{10} - 14 x^{9} + 9 x^{8} + 71 x^{7} - 64 x^{6} - 9 x^{5} + 14 x^{4} - 5 x^{3} + 10 x^{2} - 6 x + 1$	$14$	[10,2]	$17^{2}\cdot 23^{4}\cdot 64879^{2}$	$3$	$17.8766839846$	$11029.921240869915$			?	$C_2^6.S_7$ (as 14T55)	trivial	$2$	$11$	$5068.09703458$
14.10.415...125.1	$x^{14} - 9 x^{12} - 4 x^{11} + 16 x^{10} + 36 x^{9} + 8 x^{8} - 64 x^{7} - 11 x^{6} + 40 x^{5} - 13 x^{4} - 7 x^{3} + 10 x^{2} - x - 1$	$14$	[10,2]	$5^{7}\cdot 107^{2}\cdot 21557^{2}$	$3$	$18.1334741014$	$3396.0263544324857$			?	$S_7\times C_2$ (as 14T49)	trivial	$2$	$11$	$5317.39856346$
14.10.890...453.1	$x^{14} - 6 x^{13} + 10 x^{12} + 3 x^{11} - 24 x^{10} + 42 x^{9} - 94 x^{8} + 136 x^{7} - 52 x^{6} - 88 x^{5} + 109 x^{4} - 23 x^{3} - 24 x^{2} + 10 x - 1$	$14$	[10,2]	$13^{3}\cdot 71^{2}\cdot 283583^{2}$	$3$	$19.1479347349$	$16178.600341191446$			?	$C_2^7.S_7$ (as 14T57)	trivial	$2$	$11$	$7877.14724707$
14.10.107...581.1	$x^{14} - 6 x^{13} + 6 x^{12} + 26 x^{11} - 61 x^{10} + 22 x^{9} + 47 x^{8} - 69 x^{7} + 47 x^{6} + 22 x^{5} - 61 x^{4} + 26 x^{3} + 6 x^{2} - 6 x + 1$	$14$	[10,2]	$29\cdot 577^{6}$	$2$	$19.4007295979$	$129.3560976529518$			?	$C_2\wr D_7$ (as 14T38)	trivial	$2$	$11$	$9498.46276968$
14.10.136...293.1	$x^{14} - 2 x^{13} - x^{12} + 9 x^{11} - 4 x^{10} - 14 x^{9} - 46 x^{8} - 10 x^{7} + 174 x^{6} + 31 x^{5} - 191 x^{4} + 6 x^{3} + 68 x^{2} - 17 x + 1$	$14$	[10,2]	$37\cdot 577^{6}$	$2$	$19.7412874222$	$146.11296999240005$			?	$C_2\wr D_7$ (as 14T38)	trivial	$2$	$11$	$13836.3964042$
14.10.156...673.1	$x^{14} - x^{13} - 3 x^{12} + 4 x^{11} - 9 x^{10} - 3 x^{9} + 31 x^{8} - 8 x^{7} + 20 x^{6} + 24 x^{5} - 121 x^{4} - 28 x^{3} + 106 x^{2} + 13 x - 25$	$14$	[10,2]	$2621\cdot 5261\cdot 113813822033$	$3$	$19.9386166561$	$1252752174.5870657$			?	$S_{14}$ (as 14T63)	trivial	$2$	$11$	$13520.1140622$
14.10.206...169.1	$x^{14} - 2 x^{13} - 10 x^{12} + 19 x^{11} + 37 x^{10} - 64 x^{9} - 68 x^{8} + 95 x^{7} + 68 x^{6} - 64 x^{5} - 37 x^{4} + 19 x^{3} + 10 x^{2} - 2 x - 1$	$14$	[10,2]	$7^{2}\cdot 17^{5}\cdot 2017^{2}\cdot 7297$	$4$	$20.3335898559$	$41850.30263928805$			✓	$C_2^7.S_7$ (as 14T57)	trivial	$2$	$11$	$12955.1775582$
14.10.316...273.1	$x^{14} - 4 x^{13} - 6 x^{12} + 28 x^{11} + 29 x^{10} - 61 x^{9} - 215 x^{8} + 237 x^{7} + 347 x^{6} - 324 x^{5} - 202 x^{4} + 139 x^{3} + 47 x^{2} - 14 x - 1$	$14$	[10,2]	$17^{5}\cdot 23^{2}\cdot 64879^{2}$	$3$	$20.9614847257$	$5036.634689949233$			?	$C_2^7.S_7$ (as 14T57)	trivial	$2$	$11$	$18052.2756731$
14.10.623...041.1	$x^{14} - 5 x^{13} + 5 x^{12} + 8 x^{11} - 26 x^{10} + 54 x^{9} - 23 x^{8} - 117 x^{7} + 142 x^{6} + 5 x^{5} - 162 x^{4} + 73 x^{3} + 85 x^{2} - 8 x - 7$	$14$	[10,2]	$13^{2}\cdot 577^{6}$	$2$	$22.0037056887$	$86.6083136886985$			?	$C_2^6:D_7$ (as 14T28)	trivial	$2$	$11$	$37240.0711606$
14.10.623...041.2	$x^{14} - 4 x^{13} - 7 x^{12} + 40 x^{11} + 18 x^{10} - 161 x^{9} - 34 x^{8} + 320 x^{7} + 85 x^{6} - 295 x^{5} - 122 x^{4} + 81 x^{3} + 40 x^{2} - 2 x - 1$	$14$	[10,2]	$13^{2}\cdot 577^{6}$	$2$	$22.0037056887$	$86.6083136886985$			?	$C_2^6:D_7$ (as 14T28)	trivial	$2$	$11$	$24693.4312796$
14.10.664...153.1	$x^{14} - 5 x^{13} - 2 x^{12} + 42 x^{11} - 27 x^{10} - 134 x^{9} + 127 x^{8} + 207 x^{7} - 211 x^{6} - 163 x^{5} + 150 x^{4} + 62 x^{3} - 40 x^{2} - 9 x + 1$	$14$	[10,2]	$126173\cdot 52647394660261$	$2$	$22.1030951795$	$2577339660.6712728$			✓	$S_{14}$ (as 14T63)	trivial	$2$	$11$	$27307.0357953$
14.10.952...608.1	$x^{14} - 2 x^{13} - 8 x^{12} + 8 x^{11} + 39 x^{10} + 6 x^{9} - 139 x^{8} - 72 x^{7} + 279 x^{6} + 186 x^{5} - 223 x^{4} - 208 x^{3} - 10 x^{2} + 20 x + 1$	$14$	[10,2]	$2^{15}\cdot 4129^{4}$	$2$	$22.679353804$	$272.312931678814$			?	$C_2^7.\GL(3,2)$ (as 14T51)	trivial	$2$	$11$	$63318.0457285$
14.10.130...144.1	$x^{14} - x^{13} - 10 x^{12} + 5 x^{11} + 77 x^{10} - 56 x^{9} - 309 x^{8} + 293 x^{7} + 550 x^{6} - 549 x^{5} - 389 x^{4} + 352 x^{3} + 60 x^{2} - 36 x - 4$	$14$	[10,2]	$2^{20}\cdot 29\cdot 809^{4}$	$3$	$23.1922180501$	$687.7093310587969$			?	$C_2^7.\GL(3,2)$ (as 14T51)	trivial	$2$	$11$	$134389.922333$
14.10.149...625.1	$x^{14} - 5 x^{13} - 4 x^{12} + 47 x^{11} - 20 x^{10} - 119 x^{9} + 17 x^{8} + 191 x^{7} + 17 x^{6} - 119 x^{5} - 20 x^{4} + 47 x^{3} - 4 x^{2} - 5 x + 1$	$14$	[10,2]	$5^{4}\cdot 12437^{4}$	$2$	$23.4220265098$	$249.3692041933005$			?	$C_2^6:\GL(3,2)$ (as 14T50)	trivial	$2$	$11$	$38584.6677781$
14.10.162...656.1	$x^{14} - 9 x^{12} + 20 x^{10} + 17 x^{8} - 71 x^{6} + x^{4} + 26 x^{2} - 1$	$14$	[10,2]	$2^{16}\cdot 3967^{4}$	$2$	$23.5595145816$	$286.902422807492$			?	$C_2^6:\GL(3,2)$ (as 14T50)	trivial	$2$	$11$	$70065.0297958$
14.10.212...353.1	$x^{14} - 2 x^{13} - 6 x^{12} + 12 x^{11} - 2 x^{10} + 20 x^{9} - x^{8} - 120 x^{7} + 92 x^{6} + 130 x^{5} - 146 x^{4} - 68 x^{3} + 50 x^{2} + 16 x - 1$	$14$	[10,2]	$577^{7}$	$1$	$24.0208242989$	$117.7285675631952$			?	$C_2^6:D_7$ (as 14T27)	trivial	$2$	$11$	$63434.8317809$
14.10.957...504.1	$x^{14} - 7 x^{13} + 12 x^{12} + 17 x^{11} - 85 x^{10} + 166 x^{9} - 263 x^{8} + 151 x^{7} + 355 x^{6} - 756 x^{5} + 679 x^{4} - 165 x^{3} - 386 x^{2} + 205 x + 101$	$14$	[10,2]	$2^{12}\cdot 29\cdot 73^{8}$	$3$	$26.7447554107$	$170.388370505294$			?	$C_2\wr C_7:C_3$ (as 14T44)	trivial	$2$	$11$	$181094.112008$
14.10.137...949.1	$x^{14} - 7 x^{13} + 20 x^{12} - 29 x^{11} + 8 x^{10} + 59 x^{9} - 121 x^{8} + 97 x^{7} + 9 x^{6} - 100 x^{5} + 77 x^{4} - 23 x^{2} + 9 x - 1$	$14$	[10,2]	$29^{12}\cdot 389$	$2$	$27.4460846389$	$353.5564779151597$			?	$C_2 \wr C_7$ (as 14T29)	trivial	$2$	$11$	$135053.230603$
14.10.171...352.1	$x^{14} - 19 x^{12} + 93 x^{10} - 75 x^{8} - 181 x^{6} + 59 x^{4} + 59 x^{2} - 13$	$14$	[10,2]	$2^{14}\cdot 13\cdot 73^{8}$	$3$	$27.8838859701$				?	$C_2\wr C_7:C_3$ (as 14T44)	trivial	$2$	$11$	$356658.90245$
14.10.226...125.1	$x^{14} - x^{13} - 12 x^{12} + 2 x^{11} + 35 x^{10} + 35 x^{9} + 75 x^{8} - 32 x^{7} - 391 x^{6} - 320 x^{5} + 297 x^{4} + 433 x^{3} + 51 x^{2} - 95 x - 29$	$14$	[10,2]	$5^{3}\cdot 7^{2}\cdot 577^{6}$	$3$	$28.436008858872004$	$142.10911300827965$			?	$C_2\wr D_7$ (as 14T38)	trivial	$2$	$11$	$175818.3516956645$
14.10.532...825.1	$x^{14} - 2 x^{13} - 18 x^{12} + 32 x^{11} + 124 x^{10} - 200 x^{9} - 403 x^{8} + 592 x^{7} + 654 x^{6} - 503 x^{5} - 407 x^{4} - 1451 x^{3} - 1189 x^{2} + 1642 x + 1055$	$14$	[10,2]	$5^{2}\cdot 577^{7}$	$2$	$30.2301821738$	$263.24907996498126$			?	$C_2^6:D_7$ (as 14T27)	trivial	$2$	$11$	$299181.703904$
14.10.532...825.2	$x^{14} - 6 x^{13} + 5 x^{12} + 40 x^{11} - 123 x^{10} + 158 x^{9} - 289 x^{8} + 1111 x^{7} - 2671 x^{6} + 3400 x^{5} - 2202 x^{4} + 557 x^{3} + 67 x^{2} - 52 x + 5$	$14$	[10,2]	$5^{2}\cdot 577^{7}$	$2$	$30.23018217375337$	$263.24907996498126$			?	$C_2^6:D_7$ (as 14T27)	trivial	$2$	$11$	$320149.31527863635$
14.10.532...825.3	$x^{14} - 5 x^{13} - 8 x^{12} + 48 x^{11} + 49 x^{10} - 208 x^{9} - 172 x^{8} + 472 x^{7} + 229 x^{6} - 437 x^{5} - 125 x^{4} + 98 x^{3} + 33 x^{2} + 13 x - 1$	$14$	[10,2]	$5^{2}\cdot 577^{7}$	$2$	$30.23018217375337$	$263.24907996498126$			?	$C_2^6:D_7$ (as 14T27)	trivial	$2$	$11$	$263265.6374881187$
14.10.772...445.1	$x^{14} - 7 x^{13} + 6 x^{12} + 55 x^{11} - 168 x^{10} + 169 x^{9} + 182 x^{8} - 851 x^{7} + 1059 x^{6} - 394 x^{5} - 318 x^{4} + 416 x^{3} - 185 x^{2} + 35 x - 2$	$14$	[10,2]	$5\cdot 7^{8}\cdot 173^{6}$	$3$	$31.0457538803$	$107.62340968249805$			?	$C_2\wr F_7$ (as 14T48)	trivial	$2$	$11$	$1491513.19697$
14.10.824...804.1	$x^{14} - 2 x^{13} + 8 x^{12} - 42 x^{11} - 7 x^{10} + 267 x^{9} - 253 x^{8} - 293 x^{7} + 433 x^{6} + 58 x^{5} - 257 x^{4} + 38 x^{3} + 65 x^{2} - 6 x - 2$	$14$	[10,2]	$2^{2}\cdot 149^{4}\cdot 211^{5}$	$3$	$31.1900107463$	$4860.969401923454$				$C_2^7.A_7$ (as 14T56)	trivial	$2$	$11$	$2075442.47964$
14.10.824...804.2	$x^{14} - 3 x^{13} - 19 x^{12} + 52 x^{11} + 138 x^{10} - 313 x^{9} - 494 x^{8} + 820 x^{7} + 854 x^{6} - 1067 x^{5} - 385 x^{4} + 559 x^{3} - 127 x^{2} - 138 x + 16$	$14$	[10,2]	$2^{2}\cdot 149^{4}\cdot 211^{5}$	$3$	$31.1900107463$	$4860.969401923454$				$C_2^7.A_7$ (as 14T56)	trivial	$2$	$11$	$1913846.55856$
14.10.100...184.1	$x^{14} - 5 x^{12} - 24 x^{10} + 127 x^{8} - 147 x^{6} + 51 x^{4} + 5 x^{2} - 4$	$14$	[10,2]	$2^{10}\cdot 149^{4}\cdot 211^{4}$	$3$	$31.623686019$	$3653.791190437373$			?	$C_2^6:A_7$ (as 14T53)	trivial	$2$	$11$	$1594024.52113$
14.10.100...184.2	$x^{14} - 4 x^{13} - x^{12} + 4 x^{11} + 94 x^{10} - 214 x^{9} - 117 x^{8} + 592 x^{7} - 97 x^{6} - 564 x^{5} + 171 x^{4} + 204 x^{3} - 71 x^{2} - 22 x + 8$	$14$	[10,2]	$2^{10}\cdot 149^{4}\cdot 211^{4}$	$3$	$31.623686019$	$3653.791190437373$				$C_2^6:A_7$ (as 14T53)	trivial	$2$	$11$	$4091199.51601$
14.10.173...433.1	$x^{14} - 3 x^{13} - 19 x^{12} + 72 x^{11} + 44 x^{10} - 382 x^{9} + 244 x^{8} + 594 x^{7} - 937 x^{6} - 59 x^{5} + 1020 x^{4} - 424 x^{3} - 328 x^{2} + 193 x - 17$	$14$	[10,2]	$17^{3}\cdot 29^{12}$	$2$	$32.8966462115$	$73.91089459661771$			?	$C_2 \wr C_7$ (as 14T29)	trivial	$2$	$11$	$540805.717516$
14.10.185...468.1	$x^{14} - 13 x^{12} + 45 x^{10} - 49 x^{8} - 5 x^{6} + 24 x^{4} - 2 x^{2} - 3$	$14$	[10,2]	$2^{2}\cdot 3\cdot 7^{8}\cdot 173^{6}$	$4$	$33.0491394861$	$166.72946934494922$			?	$C_2\wr F_7$ (as 14T48)	trivial	$2$	$11$	$1837714.54031$
14.10.338...624.1	$x^{14} - 2 x^{12} - 44 x^{10} + 164 x^{8} - 4 x^{6} - 356 x^{4} + 232 x^{2} - 4$	$14$	[10,2]	$2^{22}\cdot 73^{8}$	$2$	$34.4987259015$				?	$C_2^3:F_8:C_3$ (as 14T35)	trivial	$2$	$11$	$1260748.74442$
14.10.338...624.2	$x^{14} - 11 x^{12} - 15 x^{10} + 109 x^{8} + 19 x^{6} - 97 x^{4} + 27 x^{2} - 1$	$14$	[10,2]	$2^{22}\cdot 73^{8}$	$2$	$34.4987259015$				?	$C_2^3:F_8:C_3$ (as 14T35)	trivial	$2$	$11$	$1375060.27173$
14.10.816...457.1	$x^{14} - 6 x^{13} - 2 x^{12} + 53 x^{11} - 52 x^{10} + 134 x^{9} - 408 x^{8} - 966 x^{7} + 2454 x^{6} - 2033 x^{5} + 6188 x^{4} - 2867 x^{3} - 4228 x^{2} + 1130 x - 59$	$14$	[10,2]	$71^{3}\cdot 283583^{3}$	$2$	$36.7391993362$	$4487.136391954227$			?	$C_2^6.S_7$ (as 14T54)	trivial	$2$	$11$	$1240939.11143$
14.10.816...457.2	$x^{14} - 3 x^{13} - 2 x^{12} - 17 x^{11} + 49 x^{10} + 63 x^{9} - 626 x^{8} + 2779 x^{7} + 427 x^{6} - 12220 x^{5} + 6108 x^{4} + 6963 x^{3} - 4068 x^{2} - 286 x + 173$	$14$	[10,2]	$71^{3}\cdot 283583^{3}$	$2$	$36.7391993362$	$4487.136391954227$			?	$C_2^6.S_7$ (as 14T54)	trivial	$2$	$11$	$865699.923535$
14.10.243...761.1	$x^{14} - 6 x^{13} + 4 x^{12} + 32 x^{11} - 92 x^{10} + 64 x^{9} + 207 x^{8} - 564 x^{7} + 42 x^{6} + 879 x^{5} - 231 x^{4} - 305 x^{3} - 7 x^{2} + 16 x + 1$	$14$	[10,2]	$29^{12}\cdot 41^{3}$	$2$	$39.7265214569999$	$114.78256527348866$			?	$C_2 \wr C_7$ (as 14T29)	trivial	$2$	$11$	$1995140.547996269$
14.10.295...361.1	$x^{14} - 6 x^{13} + 3 x^{12} + 62 x^{11} - 194 x^{10} - 85 x^{9} + 1031 x^{8} - 550 x^{7} - 841 x^{6} + 754 x^{5} - 2204 x^{4} + 1276 x^{3} + 2494 x^{2} - 1479 x - 29$	$14$	[10,2]	$17^{4}\cdot 29^{12}$	$2$	$40.2754900035$	$73.91089459661771$			?	$C_2^3:F_8$ (as 14T21)	trivial	$2$	$11$	$1888920.97172$
14.10.295...361.2	$x^{14} - x^{13} - 19 x^{12} + 42 x^{11} + 51 x^{10} - 260 x^{9} + 332 x^{8} - 56 x^{7} - 390 x^{6} + 494 x^{5} - 428 x^{4} + 245 x^{3} + 367 x^{2} - 378 x - 1$	$14$	[10,2]	$17^{4}\cdot 29^{12}$	$2$	$40.2754900035$	$73.91089459661771$			?	$C_2^3:F_8$ (as 14T21)	trivial	$2$	$11$	$2535858.56749$
14.10.112...681.1	$x^{14} - 17 x^{12} - 19 x^{11} + 48 x^{10} + 289 x^{9} + 318 x^{8} - 1066 x^{7} - 1710 x^{6} + 16 x^{5} + 2662 x^{4} + 1302 x^{3} - 491 x^{2} - 252 x - 9$	$14$	[10,2]	$3^{6}\cdot 7^{8}\cdot 173^{6}$	$3$	$44.3155678965$	$83.36473467247461$			?	$C_2^6:F_7$ (as 14T41)	trivial	$2$	$11$	$12761165.1007$
14.10.633...744.1	$x^{14} - 19 x^{12} + 105 x^{10} - 27 x^{8} - 1109 x^{6} + 1903 x^{4} + 171 x^{2} - 1$	$14$	[10,2]	$2^{12}\cdot 7^{8}\cdot 173^{6}$	$3$	$50.1304371652$	$184.36028104505417$			?	$C_2^6:F_7$ (as 14T41)	trivial	$2$	$11$	$30484216.9853$
14.10.127...088.1	$x^{14} - 4 x^{13} - 17 x^{12} + 78 x^{11} + 149 x^{10} - 812 x^{9} - 2150 x^{8} + 84 x^{7} + 4571 x^{6} + 3596 x^{5} - 1113 x^{4} - 1794 x^{3} - 193 x^{2} + 100 x + 16$	$14$	[10,2]	$2^{16}\cdot 13^{7}\cdot 17597207^{2}$	$3$	$86.3116360364$	$71946.72633450147$				$\GL(3,2)\wr C_2$ (as 14T52)	trivial	$2$	$11$	$915328456.218$
14.10.127...088.2	$x^{14} - 4 x^{13} - 16 x^{12} + 64 x^{11} + 123 x^{10} - 384 x^{9} - 618 x^{8} + 968 x^{7} + 1799 x^{6} - 700 x^{5} - 2296 x^{4} - 512 x^{3} + 800 x^{2} + 448 x + 64$	$14$	[10,2]	$2^{16}\cdot 13^{7}\cdot 17597207^{2}$	$3$	$86.3116360364$	$71946.72633450147$				$\GL(3,2)\wr C_2$ (as 14T52)	trivial	$2$	$11$	$915328456.218$