| 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 |
| 18.0.104...432.1 |
$x^{18} - 4 x^{17} + 11 x^{16} - 20 x^{15} + 31 x^{14} - 41 x^{13} + 56 x^{12} - 69 x^{11} + 64 x^{10} - 59 x^{9} + 49 x^{8} - 48 x^{7} + 28 x^{6} - 5 x^{5} + 17 x^{4} - 5 x^{3} - 2 x^{2} - x + 1$ |
$18$ |
[0,9] |
$-\,2^{8}\cdot 3^{9}\cdot 113^{6}$ |
$3$ |
$11.3949183527$ |
$29.22715298876584$ |
|
|
|
$C_3^2:D_6$ (as 18T52) |
trivial |
$6$ |
$8$ |
$327.87771807$ |
| 18.0.167...912.1 |
$x^{18} - 7 x^{15} + 12 x^{12} + 13 x^{9} + 12 x^{6} - 7 x^{3} + 1$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{9}\cdot 113^{6}$ |
$3$ |
$13.292503162$ |
$29.22715298876584$ |
|
|
? |
$C_3^2:D_6$ (as 18T52) |
trivial |
$6$ |
$8$ |
$917.329251673$ |
| 18.6.399...125.1 |
$x^{18} - x^{17} - 6 x^{16} + 9 x^{15} + 11 x^{14} - 29 x^{13} - 2 x^{12} + 66 x^{11} - 31 x^{10} - 123 x^{9} + 77 x^{8} + 156 x^{7} - 78 x^{6} - 117 x^{5} + 29 x^{4} + 41 x^{3} - 3 x - 1$ |
$18$ |
[6,6] |
$5^{13}\cdot 83^{6}$ |
$2$ |
$13.9477568341$ |
$34.83485842311318$ |
|
|
? |
$C_3^2:D_6$ (as 18T52) |
trivial |
$2$ |
$11$ |
$1543.67483693$ |
| 18.6.597...000.1 |
$x^{18} - 3 x^{17} + x^{16} + 4 x^{15} - 10 x^{14} + 22 x^{13} - 6 x^{12} - 28 x^{11} - 37 x^{10} + 135 x^{9} - 89 x^{8} + 32 x^{7} - 54 x^{6} - 26 x^{5} + 130 x^{4} - 76 x^{3} - 7 x^{2} + 9 x + 1$ |
$18$ |
[6,6] |
$2^{12}\cdot 3^{14}\cdot 5^{15}$ |
$3$ |
$14.264481057144765$ |
$21.86770120822431$ |
|
|
? |
$C_3^2:D_6$ (as 18T52) |
trivial |
$2$ |
$11$ |
$2031.8952271815667$ |
| 18.6.193...000.1 |
$x^{18} - 6 x^{17} + 15 x^{16} - 34 x^{15} + 93 x^{14} - 168 x^{13} + 166 x^{12} - 132 x^{11} + 102 x^{10} + 62 x^{9} - 201 x^{8} + 138 x^{7} - 83 x^{6} + 24 x^{5} + 51 x^{4} - 4 x^{3} - 30 x^{2} + 6 x + 1$ |
$18$ |
[6,6] |
$2^{12}\cdot 3^{18}\cdot 5^{13}$ |
$3$ |
$15.2271837427$ |
$21.86770120822431$ |
|
|
? |
$C_3^2:D_6$ (as 18T52) |
trivial |
$2$ |
$11$ |
$3813.681121584128$ |
| 18.0.253...000.1 |
$x^{18} + 3 x^{16} - 3 x^{14} - 16 x^{12} - 24 x^{10} + 15 x^{8} + 51 x^{6} + 63 x^{4} + 18 x^{2} + 1$ |
$18$ |
[0,9] |
$-\,2^{24}\cdot 3^{18}\cdot 5^{8}$ |
$3$ |
$15.4578083156$ |
$26.545737424498032$ |
|
|
? |
$C_3^2:D_6$ (as 18T52) |
trivial |
$4$ |
$8$ |
$2485.9722765595816$ |
| 18.6.302...000.1 |
$x^{18} - 3 x^{17} - 3 x^{16} + 17 x^{15} - 48 x^{13} + 29 x^{12} + 54 x^{11} - 66 x^{10} - 5 x^{9} + 72 x^{8} + 9 x^{7} - 201 x^{6} + 174 x^{5} - 78 x^{3} + 84 x^{2} - 36 x + 4$ |
$18$ |
[6,6] |
$2^{8}\cdot 3^{18}\cdot 5^{15}$ |
$3$ |
$15.6094416104$ |
$21.86770120822431$ |
|
|
|
$C_3^2:D_6$ (as 18T52) |
trivial |
$2$ |
$11$ |
$6962.4828706277485$ |
| 18.6.997...125.1 |
$x^{18} - 5 x^{17} + 11 x^{16} - 16 x^{15} + 10 x^{14} + 25 x^{13} - 125 x^{12} + 390 x^{11} - 830 x^{10} + 1150 x^{9} - 969 x^{8} + 245 x^{7} + 536 x^{6} - 741 x^{5} + 395 x^{4} - 71 x^{3} - 5 x^{2} - x + 1$ |
$18$ |
[6,6] |
$5^{15}\cdot 83^{6}$ |
$2$ |
$16.6789113769$ |
$34.83485842311318$ |
|
|
? |
$C_3^2:D_6$ (as 18T52) |
trivial |
$2$ |
$11$ |
$10567.9051342$ |
| 18.0.523...000.1 |
$x^{18} + 9 x^{16} - x^{15} + 27 x^{14} - 6 x^{13} + 46 x^{12} - 27 x^{11} + 123 x^{10} - 83 x^{9} + 234 x^{8} - 54 x^{7} + 118 x^{6} + 48 x^{5} + 132 x^{4} + 108 x^{3} + 336 x^{2} + 264 x + 184$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{21}\cdot 5^{13}$ |
$3$ |
$18.2868876799$ |
$21.86770120822431$ |
|
|
? |
$C_3^2:D_6$ (as 18T52) |
$[2]$ |
$2$ |
$8$ |
$4522.356871832279$ |
| 18.6.685...000.1 |
$x^{18} - 18 x^{15} - 15 x^{14} - 12 x^{13} + 45 x^{12} + 138 x^{11} + 123 x^{10} - 34 x^{9} - 126 x^{8} - 90 x^{7} - 144 x^{6} - 132 x^{5} - 57 x^{4} - 18 x^{3} - 15 x^{2} + 6 x + 1$ |
$18$ |
[6,6] |
$2^{24}\cdot 3^{21}\cdot 5^{8}$ |
$3$ |
$18.5638532523$ |
$26.545737424498032$ |
|
|
? |
$C_3^2:D_6$ (as 18T52) |
trivial |
$2$ |
$11$ |
$29545.241293507042$ |
| 18.0.817...000.1 |
$x^{18} - 6 x^{17} + 18 x^{16} - 34 x^{15} + 45 x^{14} - 66 x^{13} + 176 x^{12} - 498 x^{11} + 1104 x^{10} - 1890 x^{9} + 2523 x^{8} - 2628 x^{7} + 2139 x^{6} - 1362 x^{5} + 675 x^{4} - 254 x^{3} + 69 x^{2} - 12 x + 1$ |
$18$ |
[0,9] |
$-\,2^{8}\cdot 3^{21}\cdot 5^{15}$ |
$3$ |
$18.7459552796$ |
$21.86770120822431$ |
|
|
|
$C_3^2:D_6$ (as 18T52) |
$[2]$ |
$2$ |
$8$ |
$8256.28343093324$ |
| 18.0.396...000.1 |
$x^{18} + 3 x^{16} - 3 x^{14} - 13 x^{12} + 27 x^{10} + 108 x^{8} + 78 x^{6} - 15 x^{4} - 6 x^{2} + 1$ |
$18$ |
[0,9] |
$-\,2^{22}\cdot 3^{18}\cdot 5^{12}$ |
$3$ |
$20.4657096232$ |
$26.545737424498032$ |
|
|
? |
$C_3^2:D_6$ (as 18T52) |
trivial |
$4$ |
$8$ |
$57871.339769535465$ |
| 18.0.129...000.1 |
$x^{18} - 12 x^{14} + 4 x^{12} + 12 x^{10} + 144 x^{8} - 300 x^{6} + 72 x^{4} + 96 x^{2} + 8$ |
$18$ |
[0,9] |
$-\,2^{33}\cdot 3^{18}\cdot 5^{8}$ |
$3$ |
$21.8606421645$ |
$37.54134188892015$ |
|
|
? |
$C_3^2:D_6$ (as 18T52) |
trivial |
$2$ |
$8$ |
$27667.58274347$ |
| 18.6.129...000.1 |
$x^{18} - 12 x^{14} - 4 x^{12} + 12 x^{10} - 144 x^{8} - 300 x^{6} - 72 x^{4} + 96 x^{2} - 8$ |
$18$ |
[6,6] |
$2^{33}\cdot 3^{18}\cdot 5^{8}$ |
$3$ |
$21.8606421645$ |
$37.54134188892015$ |
|
|
? |
$C_3^2:D_6$ (as 18T52) |
trivial |
$2$ |
$11$ |
$154608.4433850972$ |
| 18.0.139...744.1 |
$x^{18} + 3 x^{16} - 15 x^{14} - 24 x^{12} + 180 x^{10} + 219 x^{8} - 649 x^{6} - 561 x^{4} + 750 x^{2} + 625$ |
$18$ |
[0,9] |
$-\,2^{24}\cdot 3^{18}\cdot 11^{8}$ |
$3$ |
$21.9450096257$ |
$44.903126554674984$ |
|
|
|
$C_3^2:D_6$ (as 18T52) |
trivial |
$4$ |
$8$ |
$221911.67753464932$ |
| 18.0.244...000.1 |
$x^{18} - 4 x^{17} + 4 x^{16} + 8 x^{15} - 15 x^{14} - 14 x^{13} + 51 x^{12} - 6 x^{11} - 97 x^{10} + 130 x^{9} - 46 x^{8} - 136 x^{7} + 146 x^{6} - 18 x^{5} + 105 x^{4} + 168 x^{3} + 183 x^{2} + 132 x + 69$ |
$18$ |
[0,9] |
$-\,2^{24}\cdot 3^{14}\cdot 5^{15}$ |
$3$ |
$22.643452235892056$ |
$34.71281190206154$ |
|
|
? |
$C_3^2:D_6$ (as 18T52) |
$[2]$ |
$2$ |
$8$ |
$57823.40162347577$ |
| 18.6.392...000.1 |
$x^{18} - 9 x^{17} + 38 x^{16} - 99 x^{15} + 160 x^{14} - 134 x^{13} - 4 x^{12} + 223 x^{11} - 549 x^{10} + 805 x^{9} - 832 x^{8} + 713 x^{7} - 536 x^{6} + 413 x^{5} - 195 x^{4} + 151 x^{3} - 59 x^{2} - 7 x + 1$ |
$18$ |
[6,6] |
$2^{12}\cdot 3^{22}\cdot 5^{15}$ |
$3$ |
$23.2439465235$ |
$45.48665153055997$ |
|
|
|
$C_3^2:D_6$ (as 18T52) |
trivial |
$2$ |
$11$ |
$278228.3684845452$ |
| 18.6.392...000.2 |
$x^{18} - 3 x^{16} - 6 x^{15} - 20 x^{14} + 10 x^{13} + 55 x^{12} - 63 x^{8} + 720 x^{7} + 189 x^{6} - 1062 x^{5} + 180 x^{4} + 504 x^{3} - 180 x^{2} - 72 x + 36$ |
$18$ |
[6,6] |
$2^{12}\cdot 3^{22}\cdot 5^{15}$ |
$3$ |
$23.2439465235$ |
$45.48665153055997$ |
|
|
|
$C_3^2:D_6$ (as 18T52) |
trivial |
$2$ |
$11$ |
$385463.69192704296$ |
| 18.6.392...000.3 |
$x^{18} - 3 x^{16} - 18 x^{15} - 20 x^{14} + 65 x^{13} + 160 x^{12} + 60 x^{11} - 420 x^{10} - 795 x^{9} + 507 x^{8} + 2490 x^{7} + 39 x^{6} - 3771 x^{5} - 1035 x^{4} + 2277 x^{3} + 900 x^{2} - 171 x + 9$ |
$18$ |
[6,6] |
$2^{12}\cdot 3^{22}\cdot 5^{15}$ |
$3$ |
$23.2439465235$ |
$45.48665153055997$ |
|
|
? |
$C_3^2:D_6$ (as 18T52) |
trivial |
$2$ |
$11$ |
$485986.166592576$ |
| 18.0.793...000.1 |
$x^{18} - 28 x^{15} + 12 x^{14} + 48 x^{13} + 224 x^{12} - 264 x^{11} - 252 x^{10} - 620 x^{9} + 1128 x^{8} + 240 x^{7} + 2020 x^{6} - 3264 x^{5} - 264 x^{4} - 616 x^{3} + 1512 x^{2} + 288 x + 344$ |
$18$ |
[0,9] |
$-\,2^{24}\cdot 3^{18}\cdot 5^{13}$ |
$3$ |
$24.1716474917$ |
$34.71281190206154$ |
|
|
? |
$C_3^2:D_6$ (as 18T52) |
$[2]$ |
$2$ |
$8$ |
$56479.65794539926$ |
| 18.6.107...000.1 |
$x^{18} - 9 x^{16} + 33 x^{14} - 117 x^{12} - 45 x^{10} + 72 x^{8} + 18 x^{6} - 27 x^{4} + 54 x^{2} - 27$ |
$18$ |
[6,6] |
$2^{22}\cdot 3^{21}\cdot 5^{12}$ |
$3$ |
$24.5780270004$ |
$26.545737424498032$ |
|
|
? |
$C_3^2:D_6$ (as 18T52) |
trivial |
$2$ |
$11$ |
$687788.320727267$ |
| 18.6.195...000.1 |
$x^{18} - 4 x^{17} + 6 x^{16} + x^{15} - 50 x^{14} + 156 x^{13} - 204 x^{12} - 24 x^{11} + 836 x^{10} - 1955 x^{9} + 1926 x^{8} + 136 x^{7} - 3924 x^{6} + 7046 x^{5} - 6140 x^{4} + 3221 x^{3} - 504 x^{2} - 584 x - 449$ |
$18$ |
[6,6] |
$2^{12}\cdot 3^{6}\cdot 5^{15}\cdot 11^{8}$ |
$4$ |
$25.4122593539$ |
$51.99769411216358$ |
|
|
? |
$C_3^2:D_6$ (as 18T52) |
trivial |
$2$ |
$11$ |
$834349.6588433163$ |
| 18.0.226...224.2 |
$x^{18} + 18 x^{16} + 135 x^{14} + 555 x^{12} + 1395 x^{10} + 2268 x^{8} + 2424 x^{6} + 1665 x^{4} + 675 x^{2} + 121$ |
$18$ |
[0,9] |
$-\,2^{24}\cdot 3^{38}$ |
$2$ |
$25.6229606566$ |
$37.71423533939018$ |
|
|
? |
$C_3^2:D_6$ (as 18T52) |
trivial |
$4$ |
$8$ |
$282462.56824992574$ |
| 18.0.226...224.3 |
$x^{18} + 18 x^{16} + 135 x^{14} + 543 x^{12} + 1251 x^{10} + 1620 x^{8} + 1068 x^{6} + 333 x^{4} + 135 x^{2} + 1$ |
$18$ |
[0,9] |
$-\,2^{24}\cdot 3^{38}$ |
$2$ |
$25.6229606566$ |
$37.71423533939018$ |
|
|
|
$C_3^2:D_6$ (as 18T52) |
trivial |
$4$ |
$8$ |
$1105637.035919796$ |
| 18.0.226...224.4 |
$x^{18} + 18 x^{16} + 135 x^{14} + 540 x^{12} + 1215 x^{10} + 1458 x^{8} + 729 x^{6} + 16$ |
$18$ |
[0,9] |
$-\,2^{24}\cdot 3^{38}$ |
$2$ |
$25.6229606566$ |
$37.71423533939018$ |
|
|
|
$C_3^2:D_6$ (as 18T52) |
trivial |
$4$ |
$8$ |
$1331938.3319399403$ |
| 18.0.250...000.1 |
$x^{18} - 3 x^{17} + 9 x^{16} - 8 x^{15} + 9 x^{13} + 23 x^{12} - 129 x^{11} + 456 x^{10} - 635 x^{9} + 894 x^{8} - 804 x^{7} + 2800 x^{6} - 3456 x^{5} + 9120 x^{4} - 6592 x^{3} + 5760 x^{2} - 1536 x + 512$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{18}\cdot 5^{8}\cdot 7^{9}$ |
$4$ |
$25.7638210373$ |
$44.2442818763163$ |
|
|
? |
$C_3^2:D_6$ (as 18T52) |
trivial |
$2$ |
$8$ |
$148711.30288280427$ |
| 18.0.350...000.1 |
$x^{18} + 12 x^{16} + 24 x^{14} + 54 x^{12} + 36 x^{10} - 144 x^{8} + 72 x^{6} - 216 x^{4} + 864 x^{2} + 216$ |
$18$ |
[0,9] |
$-\,2^{33}\cdot 3^{21}\cdot 5^{8}$ |
$3$ |
$26.2532530393$ |
$37.54134188892015$ |
|
|
? |
$C_3^2:D_6$ (as 18T52) |
$[2]$ |
$2$ |
$8$ |
$75474.28932683537$ |
| 18.6.350...000.1 |
$x^{18} - 12 x^{16} + 24 x^{14} - 54 x^{12} + 36 x^{10} + 144 x^{8} + 72 x^{6} + 216 x^{4} + 864 x^{2} - 216$ |
$18$ |
[6,6] |
$2^{33}\cdot 3^{21}\cdot 5^{8}$ |
$3$ |
$26.2532530393$ |
$37.54134188892015$ |
|
|
? |
$C_3^2:D_6$ (as 18T52) |
trivial |
$2$ |
$11$ |
$772382.1571255965$ |
| 18.6.376...088.1 |
$x^{18} - 6 x^{16} + 3 x^{14} + 3 x^{12} + 99 x^{10} - 252 x^{8} + 648 x^{6} - 891 x^{4} + 891 x^{2} - 675$ |
$18$ |
[6,6] |
$2^{24}\cdot 3^{21}\cdot 11^{8}$ |
$3$ |
$26.3545730412$ |
$44.903126554674984$ |
|
|
? |
$C_3^2:D_6$ (as 18T52) |
trivial |
$2$ |
$11$ |
$864378.3537744544$ |
| 18.0.453...184.1 |
$x^{18} + 3 x^{16} - 9 x^{14} - 51 x^{12} + 204 x^{10} - 496 x^{6} + 2496 x^{4} + 3840 x^{2} + 1024$ |
$18$ |
[0,9] |
$-\,2^{24}\cdot 3^{18}\cdot 17^{8}$ |
$3$ |
$26.6293624929$ |
$60.022498897768344$ |
|
|
|
$C_3^2:D_6$ (as 18T52) |
trivial |
$4$ |
$8$ |
$2892785.7073630523$ |
| 18.0.495...000.1 |
$x^{18} + 15 x^{16} + 105 x^{14} + 475 x^{12} + 1575 x^{10} + 3600 x^{8} + 4650 x^{6} + 2625 x^{4} + 750 x^{2} + 125$ |
$18$ |
[0,9] |
$-\,2^{22}\cdot 3^{18}\cdot 5^{15}$ |
$3$ |
$26.7621997924$ |
$34.71281190206154$ |
|
|
? |
$C_3^2:D_6$ (as 18T52) |
$[2]$ |
$2$ |
$8$ |
$173045.0776584604$ |
| 18.0.547...864.2 |
$x^{18} - 9 x^{17} + 42 x^{16} - 119 x^{15} + 219 x^{14} - 219 x^{13} - 63 x^{12} + 720 x^{11} - 1461 x^{10} + 1613 x^{9} - 378 x^{8} - 2184 x^{7} + 5316 x^{6} - 7317 x^{5} + 7290 x^{4} - 5308 x^{3} + 2691 x^{2} - 834 x + 125$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{18}\cdot 11^{13}$ |
$3$ |
$26.9106915119$ |
$42.18473888411525$ |
|
|
|
$C_3^2:D_6$ (as 18T52) |
$[3]$ |
$2$ |
$8$ |
$311633.43352525914$ |
| 18.6.643...000.1 |
$x^{18} - 3 x^{17} + 12 x^{16} - 19 x^{15} - 33 x^{14} + 120 x^{13} - 276 x^{12} + 516 x^{11} - 948 x^{10} + 806 x^{9} - 2505 x^{8} + 3867 x^{7} - 2377 x^{6} + 2646 x^{5} - 72 x^{4} - 642 x^{3} - 108 x^{2} + 36$ |
$18$ |
[6,6] |
$2^{8}\cdot 3^{30}\cdot 5^{13}$ |
$3$ |
$27.1521903864$ |
$45.48665153055997$ |
|
|
|
$C_3^2:D_6$ (as 18T52) |
trivial |
$2$ |
$11$ |
$1849165.3771219314$ |
| 18.6.679...672.1 |
$x^{18} - 18 x^{16} + 135 x^{14} - 552 x^{12} + 1359 x^{10} - 2106 x^{8} + 2073 x^{6} - 1260 x^{4} + 432 x^{2} - 48$ |
$18$ |
[6,6] |
$2^{24}\cdot 3^{39}$ |
$2$ |
$27.2355434896$ |
$37.71423533939018$ |
|
|
|
$C_3^2:D_6$ (as 18T52) |
trivial |
$2$ |
$11$ |
$7591681.053930864$ |
| 18.6.679...672.2 |
$x^{18} - 18 x^{16} + 135 x^{14} - 549 x^{12} + 1323 x^{10} - 1944 x^{8} + 1740 x^{6} - 963 x^{4} + 351 x^{2} - 75$ |
$18$ |
[6,6] |
$2^{24}\cdot 3^{39}$ |
$2$ |
$27.2355434896$ |
$37.71423533939018$ |
|
|
? |
$C_3^2:D_6$ (as 18T52) |
trivial |
$2$ |
$11$ |
$1319673.264887515$ |
| 18.6.679...672.5 |
$x^{18} - 18 x^{16} + 135 x^{14} - 537 x^{12} + 1179 x^{10} - 1296 x^{8} + 408 x^{6} + 225 x^{4} + 27 x^{2} - 3$ |
$18$ |
[6,6] |
$2^{24}\cdot 3^{39}$ |
$2$ |
$27.2355434896$ |
$37.71423533939018$ |
|
|
? |
$C_3^2:D_6$ (as 18T52) |
trivial |
$2$ |
$11$ |
$2136095.2753126044$ |
| 18.0.105...000.1 |
$x^{18} + x^{16} - 9 x^{15} - 5 x^{14} + 180 x^{12} + 255 x^{11} + 1065 x^{10} - 45 x^{9} + 1866 x^{8} - 3150 x^{7} + 2106 x^{6} - 4464 x^{5} + 4680 x^{4} + 216 x^{3} - 1800 x^{2} + 216 x + 216$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{25}\cdot 5^{15}$ |
$3$ |
$27.9145143642$ |
$45.48665153055997$ |
|
|
? |
$C_3^2:D_6$ (as 18T52) |
$[2]$ |
$2$ |
$8$ |
$396879.84357445274$ |
| 18.0.105...000.2 |
$x^{18} - 7 x^{17} + 24 x^{16} - 52 x^{15} + 90 x^{14} - 122 x^{13} + 204 x^{12} - 388 x^{11} + 1049 x^{10} - 2415 x^{9} + 5604 x^{8} - 10288 x^{7} + 16596 x^{6} - 20168 x^{5} + 21040 x^{4} - 15392 x^{3} + 9344 x^{2} - 2048 x + 1024$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{25}\cdot 5^{15}$ |
$3$ |
$27.9145143642$ |
$45.48665153055997$ |
|
|
|
$C_3^2:D_6$ (as 18T52) |
$[2]$ |
$2$ |
$8$ |
$9396088.902996559$ |
| 18.0.105...000.4 |
$x^{18} - 7 x^{17} + 24 x^{16} - 58 x^{15} + 135 x^{14} - 287 x^{13} + 534 x^{12} - 1003 x^{11} + 1976 x^{10} - 3285 x^{9} + 4584 x^{8} - 5713 x^{7} + 5976 x^{6} - 5117 x^{5} + 3655 x^{4} - 1688 x^{3} + 1316 x^{2} - 1127 x + 349$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{25}\cdot 5^{15}$ |
$3$ |
$27.9145143642$ |
$45.48665153055997$ |
|
|
? |
$C_3^2:D_6$ (as 18T52) |
$[2]$ |
$2$ |
$8$ |
$253740.49514956117$ |
| 18.0.128...000.1 |
$x^{18} - 6 x^{15} - 32 x^{14} - 24 x^{13} + 18 x^{12} - 12 x^{11} - 36 x^{10} + 180 x^{9} + 936 x^{8} + 2592 x^{7} + 5328 x^{6} + 8568 x^{5} + 10800 x^{4} + 10368 x^{3} + 7056 x^{2} + 3024 x + 648$ |
$18$ |
[0,9] |
$-\,2^{24}\cdot 3^{22}\cdot 5^{12}$ |
$3$ |
$28.2163952784$ |
$55.21735898768188$ |
|
|
|
$C_3^2:D_6$ (as 18T52) |
trivial |
$4$ |
$8$ |
$836391.5690201633$ |
| 18.0.128...000.2 |
$x^{18} + 10 x^{16} + 47 x^{14} + 195 x^{12} - 97 x^{10} + 100 x^{8} - 636 x^{6} + 85 x^{4} + 275 x^{2} + 25$ |
$18$ |
[0,9] |
$-\,2^{24}\cdot 3^{22}\cdot 5^{12}$ |
$3$ |
$28.2163952784$ |
$55.21735898768188$ |
|
|
|
$C_3^2:D_6$ (as 18T52) |
trivial |
$4$ |
$8$ |
$2357624.3258267664$ |
| 18.0.128...000.3 |
$x^{18} - 2 x^{17} + 2 x^{16} - 18 x^{15} + 60 x^{14} - 120 x^{13} + 282 x^{12} - 692 x^{11} + 1220 x^{10} - 2192 x^{9} + 4680 x^{8} - 7056 x^{7} + 8592 x^{6} - 11776 x^{5} + 11008 x^{4} - 5376 x^{3} + 4096 x^{2} - 4096 x + 2048$ |
$18$ |
[0,9] |
$-\,2^{24}\cdot 3^{22}\cdot 5^{12}$ |
$3$ |
$28.2163952784$ |
$55.21735898768188$ |
|
|
|
$C_3^2:D_6$ (as 18T52) |
trivial |
$4$ |
$8$ |
$5283323.889324977$ |
| 18.0.203...000.1 |
$x^{18} + 18 x^{16} + 96 x^{14} + 166 x^{12} + 204 x^{10} + 360 x^{8} - 284 x^{6} + 336 x^{4} - 48 x^{2} + 32$ |
$18$ |
[0,9] |
$-\,2^{31}\cdot 3^{18}\cdot 5^{12}$ |
$3$ |
$28.9428841127$ |
$37.54134188892015$ |
|
|
? |
$C_3^2:D_6$ (as 18T52) |
$[3]$ |
$2$ |
$8$ |
$147550.2494992511$ |
| 18.6.203...000.1 |
$x^{18} - 18 x^{16} + 96 x^{14} - 166 x^{12} + 204 x^{10} - 360 x^{8} - 284 x^{6} - 336 x^{4} - 48 x^{2} - 32$ |
$18$ |
[6,6] |
$2^{31}\cdot 3^{18}\cdot 5^{12}$ |
$3$ |
$28.9428841127$ |
$37.54134188892015$ |
|
|
? |
$C_3^2:D_6$ (as 18T52) |
$[2]$ |
$2$ |
$11$ |
$1082312.40586687$ |
| 18.6.214...000.1 |
$x^{18} - 32 x^{15} + 27 x^{14} + 162 x^{13} + 39 x^{12} - 1656 x^{11} + 1293 x^{10} + 5640 x^{9} - 6792 x^{8} - 11010 x^{7} + 20030 x^{6} + 10854 x^{5} - 30129 x^{4} + 1826 x^{3} + 7347 x^{2} - 5988 x + 5569$ |
$18$ |
[6,6] |
$2^{24}\cdot 3^{21}\cdot 5^{13}$ |
$3$ |
$29.0286247403$ |
$34.71281190206154$ |
|
|
? |
$C_3^2:D_6$ (as 18T52) |
$[2]$ |
$2$ |
$11$ |
$649167.1234615253$ |
| 18.6.317...000.1 |
$x^{18} - 3 x^{16} - 6 x^{15} - 125 x^{12} - 270 x^{11} - 180 x^{10} - 60 x^{9} - 333 x^{8} - 90 x^{7} + 1539 x^{6} + 2268 x^{5} + 990 x^{4} - 36 x^{3} + 108 x + 36$ |
$18$ |
[6,6] |
$2^{12}\cdot 3^{26}\cdot 5^{15}$ |
$3$ |
$29.6713162912$ |
$40.25969634710178$ |
|
|
|
$C_3^2:D_6$ (as 18T52) |
trivial |
$2$ |
$11$ |
$6275708.277649186$ |
| 18.6.317...000.3 |
$x^{18} - 3 x^{16} - 12 x^{15} + 45 x^{13} - 80 x^{12} - 180 x^{10} + 285 x^{9} - 333 x^{8} + 270 x^{7} + 459 x^{6} - 459 x^{5} + 585 x^{4} - 477 x^{3} + 81 x + 9$ |
$18$ |
[6,6] |
$2^{12}\cdot 3^{26}\cdot 5^{15}$ |
$3$ |
$29.6713162912$ |
$40.25969634710178$ |
|
|
? |
$C_3^2:D_6$ (as 18T52) |
trivial |
$2$ |
$11$ |
$4100877.0443168166$ |
| 18.0.337...000.1 |
$x^{18} + 9 x^{16} + 18 x^{14} + 177 x^{12} + 1008 x^{10} + 2592 x^{8} + 3888 x^{6} + 3456 x^{4} + 2304 x^{2} + 256$ |
$18$ |
[0,9] |
$-\,2^{22}\cdot 3^{30}\cdot 5^{8}$ |
$3$ |
$29.7701468348$ |
$55.21735898768188$ |
|
|
? |
$C_3^2:D_6$ (as 18T52) |
trivial |
$4$ |
$8$ |
$1629603.9494643004$ |
| 18.0.414...784.1 |
$x^{18} - 9 x^{17} + 42 x^{16} - 119 x^{15} + 192 x^{14} - 138 x^{13} - 13 x^{12} - 216 x^{11} + 1170 x^{10} - 1803 x^{9} + 771 x^{8} + 1359 x^{7} - 1597 x^{6} + 228 x^{5} + 918 x^{4} - 314 x^{3} - 156 x^{2} + 132 x + 92$ |
$18$ |
[0,9] |
$-\,2^{8}\cdot 3^{18}\cdot 11^{15}$ |
$3$ |
$30.1119999853$ |
$42.18473888411525$ |
|
|
|
$C_3^2:D_6$ (as 18T52) |
$[2]$ |
$2$ |
$8$ |
$2125238.111612494$ |
| 18.0.458...536.1 |
$x^{18} + 18 x^{16} + 81 x^{14} + 210 x^{12} + 360 x^{10} + 567 x^{8} + 579 x^{6} + 153 x^{4} + 27 x^{2} + 1$ |
$18$ |
[0,9] |
$-\,2^{22}\cdot 3^{42}$ |
$2$ |
$30.2836681094$ |
$37.71423533939018$ |
|
|
? |
$C_3^2:D_6$ (as 18T52) |
trivial |
$4$ |
$8$ |
$1806722.7851740387$ |
