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 |
$2$ |
$11$ |
$1375060.27173$ |
14.10.359...657.1 |
$x^{14} - 18 x^{12} - 13 x^{11} + 46 x^{10} + 211 x^{9} + 206 x^{8} - 328 x^{7} - 386 x^{6} - 752 x^{5} + 299 x^{4} + 213 x^{3} - 38 x^{2} - 7 x + 1$ |
$14$ |
[10,2] |
$13^{2}\cdot 577^{7}$ |
$2$ |
$34.6515504280893$ |
$86.6083136886985$ |
|
|
? |
$C_2^6:D_7$ (as 14T27) |
$[2]$ |
$2$ |
$11$ |
$510717.70251821855$ |
14.10.359...657.2 |
$x^{14} - 18 x^{12} - 13 x^{11} + 46 x^{10} + 211 x^{9} + 206 x^{8} - 328 x^{7} - 386 x^{6} - 752 x^{5} + 299 x^{4} + 213 x^{3} - 38 x^{2} - 7 x + 1$ |
$14$ |
[10,2] |
$13^{2}\cdot 577^{7}$ |
$2$ |
$34.6515504280893$ |
$86.6083136886985$ |
|
|
? |
$C_2^6:D_7$ (as 14T27) |
$[2]$ |
$2$ |
$11$ |
$510717.70251821855$ |
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 |
$2$ |
$11$ |
$865699.923535$ |
14.10.179...873.1 |
$x^{14} - 6 x^{13} - 2 x^{12} + 102 x^{11} - 267 x^{10} - 108 x^{9} + 1565 x^{8} - 2162 x^{7} - 1283 x^{6} + 5958 x^{5} - 3422 x^{4} - 4744 x^{3} + 5254 x^{2} + 820 x - 1681$ |
$14$ |
[10,2] |
$29^{2}\cdot 577^{7}$ |
$2$ |
$38.859920365503605$ |
$129.3560976529518$ |
|
|
? |
$C_2^6:D_7$ (as 14T27) |
$[2]$ |
$2$ |
$11$ |
$1095197.5630907647$ |
14.10.179...873.2 |
$x^{14} - 6 x^{13} - 2 x^{12} + 102 x^{11} - 267 x^{10} - 108 x^{9} + 1565 x^{8} - 2162 x^{7} - 1283 x^{6} + 5958 x^{5} - 3422 x^{4} - 4744 x^{3} + 5254 x^{2} + 820 x - 1681$ |
$14$ |
[10,2] |
$29^{2}\cdot 577^{7}$ |
$2$ |
$38.859920365503605$ |
$129.3560976529518$ |
|
|
? |
$C_2^6:D_7$ (as 14T27) |
$[2]$ |
$2$ |
$11$ |
$1095197.5630907647$ |
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 |
$2$ |
$11$ |
$2535858.56749$ |