| 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 |
| 18.0.758...367.1 |
$x^{18} - 4 x^{17} + 18 x^{16} - 44 x^{15} + 112 x^{14} - 189 x^{13} + 330 x^{12} - 399 x^{11} + 504 x^{10} - 418 x^{9} + 368 x^{8} - 186 x^{7} + 98 x^{6} - 23 x^{5} + 3 x^{4} + 9 x^{3} - 6 x^{2} + 1$ |
$18$ |
[0,9] |
$-\,7^{13}\cdot 23^{8}$ |
$2$ |
$16.4271020842$ |
$24.27237564215127$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
trivial |
$2$ |
$8$ |
$3208.93860661$ |
| 18.0.888...323.1 |
$x^{18} - 3 x^{17} + 6 x^{16} - 3 x^{15} - 8 x^{14} + 24 x^{13} - 26 x^{12} + 7 x^{11} + 20 x^{10} - 40 x^{9} + 56 x^{8} - 100 x^{7} + 171 x^{6} - 216 x^{5} + 207 x^{4} - 138 x^{3} + 56 x^{2} - 20 x + 25$ |
$18$ |
[0,9] |
$-\,3^{9}\cdot 7^{8}\cdot 23^{8}$ |
$3$ |
$16.5718932785$ |
$30.396476132589186$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
trivial |
$6$ |
$8$ |
$9914.42923149$ |
| 18.0.124...624.1 |
$x^{18} - 6 x^{15} + 18 x^{12} + 2 x^{9} + 2$ |
$18$ |
[0,9] |
$-\,2^{26}\cdot 3^{32}$ |
$2$ |
$19.188307465$ |
$24.99765057596614$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
trivial |
$4$ |
$8$ |
$59658.12031807916$ |
| 18.2.174...441.1 |
$x^{18} - x^{17} - 13 x^{16} + 27 x^{15} + 29 x^{14} - 129 x^{13} + 159 x^{12} - 95 x^{11} - 112 x^{10} + 302 x^{9} - 278 x^{8} + 187 x^{7} + 9 x^{6} - 350 x^{5} + 471 x^{4} - 290 x^{3} + 91 x^{2} - 14 x + 1$ |
$18$ |
[2,8] |
$7^{13}\cdot 23^{9}$ |
$2$ |
$19.5529595784$ |
$24.27237564215127$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
trivial |
$2$ |
$9$ |
$32304.0034023$ |
| 18.2.204...429.1 |
$x^{18} - 4 x^{17} + 9 x^{16} + 2 x^{15} - 52 x^{14} + 173 x^{13} - 344 x^{12} + 541 x^{11} - 714 x^{10} + 834 x^{9} - 775 x^{8} + 541 x^{7} - 236 x^{6} + 85 x^{5} + 17 x^{4} + 23 x^{3} - 75 x^{2} + 40 x - 11$ |
$18$ |
[2,8] |
$3^{9}\cdot 7^{8}\cdot 23^{9}$ |
$3$ |
$19.7253025977$ |
$30.396476132589186$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
trivial |
$2$ |
$9$ |
$31897.4152765$ |
| 18.2.373...872.1 |
$x^{18} - 3 x^{16} - 36 x^{12} - 18 x^{10} - 90 x^{8} - 24 x^{6} - 72 x^{4} + 9 x^{2} - 3$ |
$18$ |
[2,8] |
$2^{26}\cdot 3^{33}$ |
$2$ |
$20.3959249464$ |
$24.99765057596614$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
trivial |
$2$ |
$9$ |
$78567.23266858522$ |
| 18.0.100...544.2 |
$x^{18} - 2 x^{9} + 2$ |
$18$ |
[0,9] |
$-\,2^{26}\cdot 3^{36}$ |
$2$ |
$24.4942200031$ |
$31.909951093145718$ |
|
|
✓ |
$C_{18}:C_6$ (as 18T45) |
trivial |
$4$ |
$8$ |
$546229.948415$ |
| 18.0.636...488.1 |
$x^{18} + 18 x^{12} - 12 x^{6} + 2$ |
$18$ |
[0,9] |
$-\,2^{35}\cdot 3^{32}$ |
$2$ |
$27.136364656$ |
$35.35201647199492$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
trivial |
$2$ |
$8$ |
$1136685.6589031206$ |
| 18.2.636...488.1 |
$x^{18} - 18 x^{12} - 12 x^{6} - 2$ |
$18$ |
[2,8] |
$2^{35}\cdot 3^{32}$ |
$2$ |
$27.136364656$ |
$35.35201647199492$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
trivial |
$2$ |
$9$ |
$847346.0957079529$ |
| 18.0.191...464.1 |
$x^{18} + 54$ |
$18$ |
[0,9] |
$-\,2^{35}\cdot 3^{33}$ |
$2$ |
$28.8441936764$ |
$35.35201647199492$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
$[2]$ |
$2$ |
$8$ |
$961392.6582181142$ |
| 18.2.191...464.1 |
$x^{18} - 54$ |
$18$ |
[2,8] |
$2^{35}\cdot 3^{33}$ |
$2$ |
$28.8441936764$ |
$35.35201647199492$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
trivial |
$2$ |
$9$ |
$2605774.2028055284$ |
| 18.2.237...000.1 |
$x^{18} + 108 x^{12} - 152 x^{9} + 36 x^{6} - 48 x^{3} - 4$ |
$18$ |
[2,8] |
$2^{16}\cdot 3^{32}\cdot 5^{9}$ |
$3$ |
$29.1932727241$ |
$38.03166235766996$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
trivial |
$2$ |
$9$ |
$1299893.2418099118$ |
| 18.0.711...000.1 |
$x^{18} - 9 x^{17} + 42 x^{16} - 126 x^{15} + 270 x^{14} - 432 x^{13} + 288 x^{12} + 828 x^{11} - 3231 x^{10} + 6561 x^{9} - 8190 x^{8} + 3744 x^{7} + 7536 x^{6} - 23328 x^{5} + 33408 x^{4} - 27648 x^{3} + 16128 x^{2} - 6912 x + 1536$ |
$18$ |
[0,9] |
$-\,2^{16}\cdot 3^{33}\cdot 5^{9}$ |
$3$ |
$31.0305533985$ |
$38.03166235766996$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
$[2]$ |
$2$ |
$8$ |
$2701291.1448069788$ |
| 18.0.490...032.1 |
$x^{18} + 54 x^{12} - 10 x^{9} + 2304 x^{6} - 3840 x^{3} + 2048$ |
$18$ |
[0,9] |
$-\,2^{16}\cdot 3^{32}\cdot 7^{9}$ |
$3$ |
$34.5419461131$ |
$44.999669758376385$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
trivial |
$2$ |
$8$ |
$9246974.153848061$ |
| 18.0.515...528.1 |
$x^{18} + 2$ |
$18$ |
[0,9] |
$-\,2^{35}\cdot 3^{36}$ |
$2$ |
$34.6400581282$ |
$45.12748561058884$ |
|
|
✓ |
$C_{18}:C_6$ (as 18T45) |
trivial |
$2$ |
$8$ |
$9832965.63984$ |
| 18.2.515...528.1 |
$x^{18} - 2$ |
$18$ |
[2,8] |
$2^{35}\cdot 3^{36}$ |
$2$ |
$34.6400581282$ |
$45.12748561058884$ |
|
|
✓ |
$C_{18}:C_6$ (as 18T45) |
trivial |
$2$ |
$9$ |
$8427363.45183$ |
| 18.2.147...096.1 |
$x^{18} - 9 x^{17} + 33 x^{16} - 48 x^{15} - 72 x^{14} + 852 x^{13} - 4680 x^{12} + 17640 x^{11} - 47595 x^{10} + 102799 x^{9} - 197937 x^{8} + 339330 x^{7} - 476778 x^{6} + 512586 x^{5} - 408012 x^{4} + 236262 x^{3} - 96759 x^{2} + 25869 x - 3485$ |
$18$ |
[2,8] |
$2^{16}\cdot 3^{33}\cdot 7^{9}$ |
$3$ |
$36.7158459238$ |
$44.999669758376385$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
trivial |
$2$ |
$9$ |
$14488152.048552748$ |
| 18.2.114...125.1 |
$x^{18} - 5$ |
$18$ |
[2,8] |
$3^{36}\cdot 5^{17}$ |
$2$ |
$41.1510429719$ |
$53.609699288107315$ |
|
|
|
$C_{18}:C_6$ (as 18T45) |
trivial |
$2$ |
$9$ |
$44884399.4404$ |
| 18.0.170...968.1 |
$x^{18} + 18 x^{16} + 216 x^{14} + 1464 x^{12} + 7200 x^{10} - 88 x^{9} + 20736 x^{8} - 792 x^{7} + 42048 x^{6} + 4752 x^{5} + 34560 x^{4} + 21120 x^{3} + 20736 x^{2} + 6336 x + 1936$ |
$18$ |
[0,9] |
$-\,2^{16}\cdot 3^{37}\cdot 7^{8}$ |
$3$ |
$42.0659395184$ |
$57.44288875603666$ |
✓ |
|
? |
$C_{18}:C_6$ (as 18T45) |
$[10]$ |
$6$ |
$8$ |
$12312115.5749$ |
| 18.0.242...000.1 |
$x^{18} - 42 x^{15} + 486 x^{12} - 238 x^{9} + 7128 x^{6} + 39366$ |
$18$ |
[0,9] |
$-\,2^{26}\cdot 3^{32}\cdot 5^{9}$ |
$3$ |
$42.906359865$ |
$55.89644596564706$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
$[2]$ |
$2$ |
$8$ |
$33548414.42172992$ |
| 18.0.286...216.1 |
$x^{18} + 60 x^{12} - 272 x^{9} + 26244 x^{6} + 69984 x^{3} + 78732$ |
$18$ |
[0,9] |
$-\,2^{16}\cdot 3^{32}\cdot 11^{9}$ |
$3$ |
$43.3006210019$ |
$56.410071367737004$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
$[3]$ |
$2$ |
$8$ |
$24719655.037054747$ |
| 18.0.396...592.1 |
$x^{18} - 44 x^{9} + 512$ |
$18$ |
[0,9] |
$-\,2^{16}\cdot 3^{36}\cdot 7^{9}$ |
$3$ |
$44.0934162105$ |
$57.44288875603666$ |
✓ |
|
? |
$C_{18}:C_6$ (as 18T45) |
$[10]$ |
$2$ |
$8$ |
$12312115.5749$ |
| 18.2.728...000.1 |
$x^{18} - 6 x^{15} + 576 x^{12} + 3626 x^{9} - 52350 x^{6} + 140832 x^{3} - 159014$ |
$18$ |
[2,8] |
$2^{26}\cdot 3^{33}\cdot 5^{9}$ |
$3$ |
$45.6066746442$ |
$55.89644596564706$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
$[2]$ |
$2$ |
$9$ |
$69225041.92046793$ |
| 18.2.859...648.1 |
$x^{18} - 9 x^{17} + 30 x^{16} - 18 x^{15} - 216 x^{14} + 1614 x^{13} - 9600 x^{12} + 40338 x^{11} - 119265 x^{10} + 288157 x^{9} - 655380 x^{8} + 1352886 x^{7} - 2238954 x^{6} + 2776752 x^{5} - 2550756 x^{4} + 1741410 x^{3} - 872982 x^{2} + 307158 x - 62702$ |
$18$ |
[2,8] |
$2^{16}\cdot 3^{33}\cdot 11^{9}$ |
$3$ |
$46.0257486335$ |
$56.410071367737004$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
trivial |
$2$ |
$9$ |
$283893012.1052504$ |
| 18.2.128...448.1 |
$x^{18} + 924 x^{12} - 3620 x^{9} + 26244 x^{6} - 87480 x^{3} - 78732$ |
$18$ |
[2,8] |
$2^{16}\cdot 3^{32}\cdot 13^{9}$ |
$3$ |
$47.0727378436$ |
$61.324212904759776$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
trivial |
$2$ |
$9$ |
$159629939.02206567$ |
| 18.0.169...704.1 |
$x^{18} + 9$ |
$18$ |
[0,9] |
$-\,2^{18}\cdot 3^{52}$ |
$2$ |
$47.7947602119$ |
$57.39849380219693$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
trivial |
$4$ |
$8$ |
$295586578.988$ |
| 18.0.386...344.1 |
$x^{18} - 9 x^{17} + 48 x^{16} - 162 x^{15} + 378 x^{14} - 432 x^{13} + 1656 x^{12} - 12114 x^{11} + 50337 x^{10} - 114453 x^{9} + 189630 x^{8} - 187128 x^{7} + 228612 x^{6} - 220644 x^{5} + 641376 x^{4} + 160920 x^{3} + 645660 x^{2} + 217134 x + 252318$ |
$18$ |
[0,9] |
$-\,2^{16}\cdot 3^{33}\cdot 13^{9}$ |
$3$ |
$50.0352639142$ |
$61.324212904759776$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
$[12]$ |
$2$ |
$8$ |
$44536004.20913794$ |
| 18.2.501...768.1 |
$x^{18} - 66 x^{15} - 486 x^{12} - 7106 x^{9} - 47952 x^{6} - 39366$ |
$18$ |
[2,8] |
$2^{26}\cdot 3^{32}\cdot 7^{9}$ |
$3$ |
$50.7674896327$ |
$66.13756678489693$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
trivial |
$2$ |
$9$ |
$422411479.76656485$ |
| 18.2.508...112.1 |
$x^{18} - 3$ |
$18$ |
[2,8] |
$2^{18}\cdot 3^{53}$ |
$2$ |
$50.8027268111$ |
$57.39849380219693$ |
|
|
✓ |
$C_{18}:C_6$ (as 18T45) |
trivial |
$2$ |
$9$ |
$389275079.423$ |
| 18.2.144...672.1 |
$x^{18} - 9 x^{17} + 204 x^{15} - 306 x^{14} - 2142 x^{13} + 4296 x^{12} + 14004 x^{11} - 28413 x^{10} - 68955 x^{9} + 118278 x^{8} + 239796 x^{7} - 309084 x^{6} - 500040 x^{5} + 369702 x^{4} + 684582 x^{3} - 92772 x^{2} - 410058 x - 388034$ |
$18$ |
[2,8] |
$2^{16}\cdot 3^{32}\cdot 17^{9}$ |
$3$ |
$53.8297351467$ |
$70.12692037825812$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
$[2]$ |
$2$ |
$9$ |
$344611950.81361854$ |
| 18.0.150...304.1 |
$x^{18} - 6 x^{15} + 1116 x^{12} - 15598 x^{9} + 275862 x^{6} - 1561248 x^{3} + 7447750$ |
$18$ |
[0,9] |
$-\,2^{26}\cdot 3^{33}\cdot 7^{9}$ |
$3$ |
$53.9625451673$ |
$66.13756678489693$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
$[2, 6]$ |
$2$ |
$8$ |
$50856319.64605872$ |
| 18.0.349...047.1 |
$x^{18} + 7$ |
$18$ |
[0,9] |
$-\,3^{36}\cdot 7^{17}$ |
$2$ |
$56.5445377848$ |
$73.66364126168662$ |
|
|
|
$C_{18}:C_6$ (as 18T45) |
$[3]$ |
$2$ |
$8$ |
$509284138.658$ |
| 18.0.391...504.1 |
$x^{18} - 9 x^{17} + 81 x^{16} - 444 x^{15} + 2286 x^{14} - 8946 x^{13} + 32646 x^{12} - 97128 x^{11} + 268533 x^{10} - 619917 x^{9} + 1330443 x^{8} - 2387844 x^{7} + 4021662 x^{6} - 5527062 x^{5} + 7249680 x^{4} - 7264110 x^{3} + 6963867 x^{2} - 3954051 x + 1912285$ |
$18$ |
[0,9] |
$-\,2^{16}\cdot 3^{32}\cdot 19^{9}$ |
$3$ |
$56.9081650987$ |
$74.1373583182843$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
$[3]$ |
$2$ |
$8$ |
$158639448.38554028$ |
| 18.0.432...016.1 |
$x^{18} - 9 x^{17} + 51 x^{16} - 180 x^{15} + 432 x^{14} - 396 x^{13} + 3096 x^{12} - 25632 x^{11} + 106011 x^{10} - 219663 x^{9} + 344619 x^{8} - 311886 x^{7} + 662610 x^{6} - 723762 x^{5} + 2786436 x^{4} + 2069244 x^{3} + 4963797 x^{2} + 3181869 x + 1939407$ |
$18$ |
[0,9] |
$-\,2^{16}\cdot 3^{33}\cdot 17^{9}$ |
$3$ |
$57.2175133183$ |
$70.12692037825812$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
$[2, 6]$ |
$2$ |
$8$ |
$54838383.634739265$ |
| 18.2.117...512.1 |
$x^{18} - 9 x^{17} + 24 x^{16} - 18 x^{15} - 54 x^{14} - 1404 x^{13} - 360 x^{12} + 9252 x^{11} - 40599 x^{10} - 90315 x^{9} - 155556 x^{8} + 165312 x^{7} - 357504 x^{6} - 622080 x^{5} - 626688 x^{4} + 884736 x^{3} - 1179648 x^{2} - 1769472 x - 786432$ |
$18$ |
[2,8] |
$2^{16}\cdot 3^{33}\cdot 19^{9}$ |
$3$ |
$60.4896844761$ |
$74.1373583182843$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
trivial |
$2$ |
$9$ |
$2717691757.986842$ |
| 18.0.124...000.1 |
$x^{18} + 2250 x^{12} - 187500 x^{6} + 3906250$ |
$18$ |
[0,9] |
$-\,2^{35}\cdot 3^{32}\cdot 5^{9}$ |
$3$ |
$60.6787560331$ |
$79.04951197307294$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
$[2]$ |
$2$ |
$8$ |
$409335421.5651328$ |
| 18.2.124...000.1 |
$x^{18} - 2250 x^{12} - 187500 x^{6} - 3906250$ |
$18$ |
[2,8] |
$2^{35}\cdot 3^{32}\cdot 5^{9}$ |
$3$ |
$60.6787560331$ |
$79.04951197307294$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
$[2]$ |
$2$ |
$9$ |
$1312770548.9461164$ |
| 18.18.174...232.1 |
$x^{18} - 54 x^{16} - 54 x^{15} + 972 x^{14} + 1566 x^{13} - 7440 x^{12} - 15606 x^{11} + 24408 x^{10} + 67486 x^{9} - 24462 x^{8} - 126036 x^{7} - 13302 x^{6} + 93636 x^{5} + 12150 x^{4} - 34644 x^{3} + 378 x^{2} + 5508 x - 1058$ |
$18$ |
[18,0] |
$2^{26}\cdot 3^{37}\cdot 7^{8}$ |
$3$ |
$61.8257622602$ |
$84.42579494069724$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
trivial |
$2$ |
$17$ |
$65797975081.1$ |
| 18.0.218...288.1 |
$x^{18} - 9 x^{17} + 90 x^{16} - 516 x^{15} + 2934 x^{14} - 12222 x^{13} + 49236 x^{12} - 157356 x^{11} + 481707 x^{10} - 1203195 x^{9} + 2874348 x^{8} - 5608044 x^{7} + 10549596 x^{6} - 15746040 x^{5} + 23082102 x^{4} - 24788658 x^{3} + 26705808 x^{2} - 16205778 x + 9888146$ |
$18$ |
[0,9] |
$-\,2^{16}\cdot 3^{32}\cdot 23^{9}$ |
$3$ |
$62.612594522$ |
$81.56882843196858$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
$[9]$ |
$2$ |
$8$ |
$416075792.5032041$ |
| 18.2.293...184.1 |
$x^{18} - 102 x^{15} - 2250 x^{12} - 32402 x^{9} - 621000 x^{6} - 3906250$ |
$18$ |
[2,8] |
$2^{26}\cdot 3^{32}\cdot 11^{9}$ |
$3$ |
$63.6404162235$ |
$82.90782760089124$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
trivial |
$2$ |
$9$ |
$2370580368.5353174$ |
| 18.0.373...000.1 |
$x^{18} + 105468750$ |
$18$ |
[0,9] |
$-\,2^{35}\cdot 3^{33}\cdot 5^{9}$ |
$3$ |
$64.4975778165$ |
$79.04951197307294$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
$[2, 6]$ |
$2$ |
$8$ |
$240639574.92970893$ |
| 18.2.373...000.1 |
$x^{18} - 105468750$ |
$18$ |
[2,8] |
$2^{35}\cdot 3^{33}\cdot 5^{9}$ |
$3$ |
$64.4975778165$ |
$79.04951197307294$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
$[2]$ |
$2$ |
$9$ |
$1264424798.2015738$ |
| 18.18.406...208.1 |
$x^{18} - 36 x^{16} + 540 x^{14} - 4368 x^{12} + 20592 x^{10} - 62 x^{9} - 57024 x^{8} + 1116 x^{7} + 88704 x^{6} - 6696 x^{5} - 69120 x^{4} + 14880 x^{3} + 20736 x^{2} - 8928 x + 898$ |
$18$ |
[18,0] |
$2^{26}\cdot 3^{36}\cdot 7^{9}$ |
$3$ |
$64.8056146868$ |
$84.42579494069724$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
trivial |
$2$ |
$17$ |
$138328022131$ |
| 18.2.656...864.1 |
$x^{18} - 9 x^{17} + 21 x^{16} - 108 x^{14} - 1944 x^{13} - 2232 x^{12} + 17208 x^{11} - 69381 x^{10} - 196803 x^{9} - 476595 x^{8} + 423450 x^{7} - 1083750 x^{6} - 2328750 x^{5} - 3262500 x^{4} + 5062500 x^{3} - 4921875 x^{2} - 10546875 x - 5859375$ |
$18$ |
[2,8] |
$2^{16}\cdot 3^{33}\cdot 23^{9}$ |
$3$ |
$66.5531225668$ |
$81.56882843196858$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
$[3]$ |
$2$ |
$9$ |
$1338628985.0976017$ |
| 18.0.879...552.1 |
$x^{18} - 6 x^{15} + 2736 x^{12} - 83062 x^{9} + 2821746 x^{6} - 43800480 x^{3} + 345617386$ |
$18$ |
[0,9] |
$-\,2^{26}\cdot 3^{33}\cdot 11^{9}$ |
$3$ |
$67.6456302995$ |
$82.90782760089124$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
$[2, 2]$ |
$2$ |
$8$ |
$791982585.4607372$ |
| 18.0.131...752.1 |
$x^{18} - 114 x^{15} + 6174 x^{12} + 11666 x^{9} + 74088 x^{6} + 80707214$ |
$18$ |
[0,9] |
$-\,2^{26}\cdot 3^{32}\cdot 13^{9}$ |
$3$ |
$69.1844264545$ |
$90.13031091777783$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
$[2]$ |
$2$ |
$8$ |
$1592843982.5010967$ |
| 18.2.176...344.1 |
$x^{18} - 9 x^{17} - 27 x^{16} + 420 x^{15} + 126 x^{14} - 8946 x^{13} + 3918 x^{12} + 114552 x^{11} - 68427 x^{10} - 978477 x^{9} + 482751 x^{8} + 5669820 x^{7} - 1448754 x^{6} - 21336534 x^{5} - 1365048 x^{4} + 47849154 x^{3} + 20465379 x^{2} - 49246227 x - 42840647$ |
$18$ |
[2,8] |
$2^{16}\cdot 3^{32}\cdot 29^{9}$ |
$3$ |
$70.3067109143$ |
$91.5923718537155$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
$[2]$ |
$2$ |
$9$ |
$1763951815.7009294$ |
| 18.0.256...216.1 |
$x^{18} + 6174 x^{12} - 1411788 x^{6} + 80707214$ |
$18$ |
[0,9] |
$-\,2^{35}\cdot 3^{32}\cdot 7^{9}$ |
$3$ |
$71.7960723662$ |
$93.53264392955758$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
$[4]$ |
$2$ |
$8$ |
$1926123873.7643378$ |
| 18.2.256...216.1 |
$x^{18} - 6174 x^{12} - 1411788 x^{6} - 80707214$ |
$18$ |
[2,8] |
$2^{35}\cdot 3^{32}\cdot 7^{9}$ |
$3$ |
$71.7960723662$ |
$93.53264392955758$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
trivial |
$2$ |
$9$ |
$8831773301.291325$ |
| 18.0.321...696.1 |
$x^{18} - 9 x^{17} + 108 x^{16} - 660 x^{15} + 4446 x^{14} - 20286 x^{13} + 96528 x^{12} - 342828 x^{11} + 1242963 x^{10} - 3484347 x^{9} + 9919386 x^{8} - 21843180 x^{7} + 49269396 x^{6} - 82922184 x^{5} + 146696742 x^{4} - 175402506 x^{3} + 232468164 x^{2} - 155589642 x + 132669478$ |
$18$ |
[0,9] |
$-\,2^{16}\cdot 3^{32}\cdot 31^{9}$ |
$3$ |
$72.6906628703$ |
$94.69807557951968$ |
|
|
? |
$C_{18}:C_6$ (as 18T45) |
$[6]$ |
$2$ |
$8$ |
$1519167484.847329$ |
