| 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 |
| 18.0.298...208.1 |
$x^{18} - 6 x^{17} + 12 x^{16} + 4 x^{15} - 12 x^{14} - 48 x^{13} + 15 x^{12} + 180 x^{11} - 168 x^{10} - 64 x^{9} + 216 x^{8} - 84 x^{7} - 9 x^{6} + 30 x^{5} + 36 x^{4} - 56 x^{3} + 48 x^{2} - 12 x + 1$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{21}\cdot 17^{8}$ |
$3$ |
$20.1462544521$ |
$23.58047712423637$ |
|
|
|
$C_6:S_3$ (as 18T12) |
$[3]$ |
$6$ |
$8$ |
$63321.4880156$ |
| 18.2.435...000.1 |
$x^{18} - 4 x^{15} + 15 x^{12} + 15 x^{6} + 16 x^{3} + 1$ |
$18$ |
[2,8] |
$2^{12}\cdot 3^{20}\cdot 5^{15}$ |
$3$ |
$20.5729416753$ |
$21.86770120822431$ |
|
|
|
$C_6:S_3$ (as 18T12) |
$[3]$ |
$2$ |
$9$ |
$30542.7397146$ |
| 18.0.130...000.1 |
$x^{18} - 6 x^{15} + 5 x^{12} + 10 x^{9} + 145 x^{6} + 4 x^{3} + 1$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{21}\cdot 5^{15}$ |
$3$ |
$21.8677012082$ |
$21.86770120822431$ |
|
|
|
$C_6:S_3$ (as 18T12) |
$[6]$ |
$2$ |
$8$ |
$63470.4679397$ |
| 18.2.169...512.1 |
$x^{18} - 4 x^{15} - 9 x^{12} - 44 x^{9} - 9 x^{6} - 4 x^{3} + 1$ |
$18$ |
[2,8] |
$2^{12}\cdot 3^{20}\cdot 17^{9}$ |
$3$ |
$22.1843062485$ |
$23.58047712423637$ |
|
|
|
$C_6:S_3$ (as 18T12) |
$[3]$ |
$2$ |
$9$ |
$132640.315457$ |
| 18.0.251...136.2 |
$x^{18} + 3 x^{12} + 15 x^{6} + 1$ |
$18$ |
[0,9] |
$-\,2^{24}\cdot 3^{36}$ |
$2$ |
$22.6785788981$ |
$24.105856857882777$ |
|
|
? |
$C_6:S_3$ (as 18T12) |
trivial |
$4$ |
$8$ |
$428253.6181907014$ |
| 18.2.755...408.2 |
$x^{18} - 12 x^{15} + 21 x^{12} - 70 x^{9} + 51 x^{6} - 42 x^{3} + 1$ |
$18$ |
[2,8] |
$2^{24}\cdot 3^{37}$ |
$2$ |
$24.1058568579$ |
$24.105856857882777$ |
|
|
? |
$C_6:S_3$ (as 18T12) |
trivial |
$2$ |
$9$ |
$563991.9843628695$ |
| 18.0.142...000.2 |
$x^{18} + 3 x^{12} + 543 x^{6} + 1$ |
$18$ |
[0,9] |
$-\,2^{24}\cdot 3^{20}\cdot 5^{12}$ |
$3$ |
$24.9739971551$ |
$26.545737424498032$ |
|
|
? |
$C_6:S_3$ (as 18T12) |
$[3]$ |
$4$ |
$8$ |
$314523.34710628784$ |
| 18.2.428...000.1 |
$x^{18} - 49 x^{12} + 67 x^{6} - 27$ |
$18$ |
[2,8] |
$2^{24}\cdot 3^{21}\cdot 5^{12}$ |
$3$ |
$26.5457374245$ |
$26.545737424498032$ |
|
|
? |
$C_6:S_3$ (as 18T12) |
$[3]$ |
$2$ |
$9$ |
$414214.005738851$ |
| 18.0.678...728.2 |
$x^{18} - 11 x^{15} + 65 x^{12} - 99 x^{9} + 130 x^{6} - 44 x^{3} + 8$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{20}\cdot 7^{15}$ |
$3$ |
$27.2313867315$ |
$28.94519597282117$ |
|
|
|
$C_6:S_3$ (as 18T12) |
$[3]$ |
$2$ |
$8$ |
$818382.7735614459$ |
| 18.2.203...184.1 |
$x^{18} - 2 x^{15} + 25 x^{12} + 244 x^{9} - 313 x^{6} - 942 x^{3} - 4913$ |
$18$ |
[2,8] |
$2^{12}\cdot 3^{21}\cdot 7^{15}$ |
$3$ |
$28.9451959728$ |
$28.94519597282117$ |
|
|
|
$C_6:S_3$ (as 18T12) |
$[3]$ |
$2$ |
$9$ |
$1282241.5051674389$ |
| 18.0.809...816.1 |
$x^{18} - 29 x^{12} + 999 x^{6} + 729$ |
$18$ |
[0,9] |
$-\,2^{24}\cdot 3^{20}\cdot 7^{12}$ |
$3$ |
$31.2540820794$ |
$33.22105993570567$ |
|
|
? |
$C_6:S_3$ (as 18T12) |
$[3]$ |
$4$ |
$8$ |
$3131117.232313821$ |
| 18.2.120...000.2 |
$x^{18} - 12 x^{15} + 45 x^{12} + 112 x^{9} + 63 x^{6} + 12 x^{3} - 1$ |
$18$ |
[2,8] |
$2^{12}\cdot 3^{36}\cdot 5^{9}$ |
$3$ |
$31.9458299378$ |
$33.956342994275154$ |
|
|
|
$C_6:S_3$ (as 18T12) |
$[2]$ |
$2$ |
$9$ |
$2550553.0510749845$ |
| 18.0.128...632.4 |
$x^{18} + 6 x^{12} + 60 x^{6} + 8$ |
$18$ |
[0,9] |
$-\,2^{33}\cdot 3^{36}$ |
$2$ |
$32.0723538531$ |
$34.0908297010423$ |
|
|
? |
$C_6:S_3$ (as 18T12) |
$[3]$ |
$2$ |
$8$ |
$2606728.9617235763$ |
| 18.2.128...632.4 |
$x^{18} - 6 x^{12} + 60 x^{6} - 8$ |
$18$ |
[2,8] |
$2^{33}\cdot 3^{36}$ |
$2$ |
$32.0723538531$ |
$34.0908297010423$ |
|
|
? |
$C_6:S_3$ (as 18T12) |
$[2]$ |
$2$ |
$9$ |
$2758108.909503229$ |
| 18.0.178...000.3 |
$x^{18} - 18 x^{15} - 5 x^{12} + 990 x^{9} + 3145 x^{6} + 2052 x^{3} + 729$ |
$18$ |
[0,9] |
$-\,2^{24}\cdot 3^{20}\cdot 5^{15}$ |
$3$ |
$32.6575092575$ |
$34.71281190206154$ |
|
|
|
$C_6:S_3$ (as 18T12) |
$[6]$ |
$2$ |
$8$ |
$2912492.656477729$ |
| 18.2.242...448.1 |
$x^{18} - 37 x^{12} - 29 x^{6} - 27$ |
$18$ |
[2,8] |
$2^{24}\cdot 3^{21}\cdot 7^{12}$ |
$3$ |
$33.2210599357$ |
$33.22105993570567$ |
|
|
? |
$C_6:S_3$ (as 18T12) |
$[3]$ |
$2$ |
$9$ |
$4123549.5652930625$ |
| 18.0.360...000.3 |
$x^{18} - 15 x^{15} + 39 x^{12} + 475 x^{9} + 834 x^{6} - 300 x^{3} + 1000$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{37}\cdot 5^{9}$ |
$3$ |
$33.9563429943$ |
$33.956342994275154$ |
|
|
|
$C_6:S_3$ (as 18T12) |
$[2, 2]$ |
$2$ |
$8$ |
$5300270.93735502$ |
| 18.0.386...896.4 |
$x^{18} + 90 x^{12} + 108 x^{6} + 216$ |
$18$ |
[0,9] |
$-\,2^{33}\cdot 3^{37}$ |
$2$ |
$34.090829701$ |
$34.0908297010423$ |
|
|
? |
$C_6:S_3$ (as 18T12) |
$[2, 2]$ |
$2$ |
$8$ |
$3129330.11622241$ |
| 18.2.386...896.1 |
$x^{18} - 90 x^{12} + 108 x^{6} - 216$ |
$18$ |
[2,8] |
$2^{33}\cdot 3^{37}$ |
$2$ |
$34.090829701$ |
$34.0908297010423$ |
|
|
? |
$C_6:S_3$ (as 18T12) |
$[3]$ |
$2$ |
$9$ |
$5975748.025817454$ |
| 18.2.458...125.2 |
$x^{18} - 12 x^{15} + 45 x^{12} + 40 x^{9} - 45 x^{6} + 228 x^{3} - 1$ |
$18$ |
[2,8] |
$3^{36}\cdot 5^{15}$ |
$2$ |
$34.4126021099$ |
$36.57836164674376$ |
|
|
|
$C_6:S_3$ (as 18T12) |
$[2]$ |
$2$ |
$9$ |
$22847802.33598889$ |
| 18.2.535...000.1 |
$x^{18} - 18 x^{15} - 50 x^{12} - 360 x^{9} - 860 x^{6} - 648 x^{3} - 216$ |
$18$ |
[2,8] |
$2^{24}\cdot 3^{21}\cdot 5^{15}$ |
$3$ |
$34.7128119021$ |
$34.71281190206154$ |
|
|
? |
$C_6:S_3$ (as 18T12) |
$[6]$ |
$2$ |
$9$ |
$6009745.31026225$ |
| 18.0.731...000.1 |
$x^{18} - 26 x^{12} + 412 x^{6} + 5832$ |
$18$ |
[0,9] |
$-\,2^{33}\cdot 3^{20}\cdot 5^{12}$ |
$3$ |
$35.3185654834$ |
$37.54134188892015$ |
|
|
|
$C_6:S_3$ (as 18T12) |
$[3, 3]$ |
$2$ |
$8$ |
$3706617.4170672665$ |
| 18.2.731...000.1 |
$x^{18} + 26 x^{12} + 412 x^{6} - 5832$ |
$18$ |
[2,8] |
$2^{33}\cdot 3^{20}\cdot 5^{12}$ |
$3$ |
$35.3185654834$ |
$37.54134188892015$ |
|
|
? |
$C_6:S_3$ (as 18T12) |
$[6]$ |
$2$ |
$9$ |
$2160321.3612944754$ |
| 18.2.113...000.1 |
$x^{18} - 3 x^{17} - 7 x^{16} + 20 x^{15} + 45 x^{14} - 443 x^{13} + 1134 x^{12} - 1479 x^{11} + 175 x^{10} + 2090 x^{9} - 2977 x^{8} + 831 x^{7} + 1899 x^{6} - 2660 x^{5} + 1110 x^{4} - 640 x^{3} + 280 x^{2} - 480 x + 20$ |
$18$ |
[2,8] |
$2^{12}\cdot 3^{8}\cdot 5^{15}\cdot 7^{12}$ |
$4$ |
$36.1921390428$ |
$38.46989386174112$ |
|
|
|
$C_6:S_3$ (as 18T12) |
$[3]$ |
$2$ |
$9$ |
$7580353.718580581$ |
| 18.0.137...375.2 |
$x^{18} - 3 x^{15} + 30 x^{12} - 250 x^{9} + 465 x^{6} + 237 x^{3} + 64$ |
$18$ |
[0,9] |
$-\,3^{37}\cdot 5^{15}$ |
$2$ |
$36.5783616467$ |
$36.57836164674376$ |
|
|
|
$C_6:S_3$ (as 18T12) |
$[2, 2]$ |
$2$ |
$8$ |
$47479719.21338162$ |
| 18.0.219...000.2 |
$x^{18} + 98 x^{12} + 268 x^{6} + 216$ |
$18$ |
[0,9] |
$-\,2^{33}\cdot 3^{21}\cdot 5^{12}$ |
$3$ |
$37.5413418889$ |
$37.54134188892015$ |
|
|
? |
$C_6:S_3$ (as 18T12) |
$[2, 6]$ |
$2$ |
$8$ |
$2451084.753515054$ |
| 18.2.219...000.2 |
$x^{18} - 98 x^{12} + 268 x^{6} - 216$ |
$18$ |
[2,8] |
$2^{33}\cdot 3^{21}\cdot 5^{12}$ |
$3$ |
$37.5413418889$ |
$37.54134188892015$ |
|
|
? |
$C_6:S_3$ (as 18T12) |
$[3, 3]$ |
$2$ |
$9$ |
$8497167.153832054$ |
| 18.0.248...912.1 |
$x^{18} - 15 x^{15} + 99 x^{12} - 355 x^{9} + 360 x^{6} + 960 x^{3} + 512$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{36}\cdot 7^{9}$ |
$3$ |
$37.7988157299$ |
$40.1776868592855$ |
|
|
|
$C_6:S_3$ (as 18T12) |
$[2]$ |
$2$ |
$8$ |
$21985329.817342814$ |
| 18.0.311...000.1 |
$x^{18} - 6 x^{17} + 17 x^{16} - 48 x^{15} + 150 x^{14} - 336 x^{13} + 485 x^{12} - 438 x^{11} + 14 x^{10} + 180 x^{9} + 2597 x^{8} - 7578 x^{7} + 6185 x^{6} + 1746 x^{5} + 60 x^{4} - 11598 x^{3} + 14984 x^{2} - 7584 x + 1408$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{8}\cdot 5^{12}\cdot 7^{15}$ |
$4$ |
$38.2797351513$ |
$40.688872978396695$ |
|
|
|
$C_6:S_3$ (as 18T12) |
$[3, 3]$ |
$2$ |
$8$ |
$6910271.661602281$ |
| 18.0.340...000.1 |
$x^{18} - 6 x^{17} + 22 x^{16} - 51 x^{15} + 50 x^{14} + 54 x^{13} - 179 x^{12} + 108 x^{11} + 206 x^{10} - 705 x^{9} + 982 x^{8} - 792 x^{7} + 634 x^{6} - 372 x^{5} - 240 x^{4} + 684 x^{3} - 144 x^{2} - 432 x + 216$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{9}\cdot 5^{15}\cdot 7^{12}$ |
$4$ |
$38.4698938617$ |
$38.46989386174112$ |
|
|
|
$C_6:S_3$ (as 18T12) |
$[6]$ |
$2$ |
$8$ |
$15752633.920917612$ |
| 18.0.596...896.1 |
$x^{18} - 4 x^{15} + 47 x^{12} - 296 x^{9} + 1215 x^{6} - 1512 x^{3} + 729$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{20}\cdot 11^{15}$ |
$3$ |
$39.6870326875$ |
$42.18473888411525$ |
|
|
|
$C_6:S_3$ (as 18T12) |
$[3, 6]$ |
$2$ |
$8$ |
$7436740.6823236905$ |
| 18.2.744...736.2 |
$x^{18} - 12 x^{15} + 93 x^{12} + 2036 x^{9} - 6321 x^{6} + 8616 x^{3} - 4913$ |
$18$ |
[2,8] |
$2^{12}\cdot 3^{37}\cdot 7^{9}$ |
$3$ |
$40.1776868593$ |
$40.1776868592855$ |
|
|
|
$C_6:S_3$ (as 18T12) |
$[2]$ |
$2$ |
$9$ |
$34446597.98239952$ |
| 18.2.934...000.2 |
$x^{18} - 3 x^{17} - x^{16} + 14 x^{15} - 3 x^{14} + 91 x^{13} + 170 x^{12} + 117 x^{11} + 203 x^{10} + 416 x^{9} + 407 x^{8} - 75 x^{7} + 1187 x^{6} + 3232 x^{5} + 372 x^{4} - 388 x^{3} - 460 x^{2} + 180 x - 20$ |
$18$ |
[2,8] |
$2^{12}\cdot 3^{9}\cdot 5^{12}\cdot 7^{15}$ |
$4$ |
$40.6888729784$ |
$40.688872978396695$ |
|
|
|
$C_6:S_3$ (as 18T12) |
$[3, 3]$ |
$2$ |
$9$ |
$10827008.366670528$ |
| 18.0.140...000.1 |
$x^{18} - 35 x^{15} + 599 x^{12} - 6435 x^{9} + 33352 x^{6} + 7360 x^{3} + 512$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{20}\cdot 5^{12}\cdot 7^{9}$ |
$4$ |
$41.6246326873$ |
$44.2442818763163$ |
|
|
|
$C_6:S_3$ (as 18T12) |
$[3, 6]$ |
$2$ |
$8$ |
$5863974.111036323$ |
| 18.2.178...688.2 |
$x^{18} - 37 x^{15} + 245 x^{12} + 3983 x^{9} - 490 x^{6} - 148 x^{3} - 8$ |
$18$ |
[2,8] |
$2^{12}\cdot 3^{21}\cdot 11^{15}$ |
$3$ |
$42.1847388841$ |
$42.18473888411525$ |
|
|
|
$C_6:S_3$ (as 18T12) |
$[3, 6]$ |
$2$ |
$9$ |
$28469096.209551767$ |
| 18.0.183...136.1 |
$x^{18} - 3 x^{16} - 18 x^{14} + 177 x^{12} + 1482 x^{10} + 3849 x^{8} + 2769 x^{6} - 4752 x^{4} - 5376 x^{2} + 4096$ |
$18$ |
[0,9] |
$-\,2^{24}\cdot 3^{20}\cdot 11^{12}$ |
$3$ |
$42.2444679874$ |
$44.903126554674984$ |
|
|
? |
$C_6:S_3$ (as 18T12) |
$[3, 6]$ |
$4$ |
$8$ |
$7680092.907178393$ |
| 18.2.231...000.1 |
$x^{18} - 48 x^{15} + 675 x^{12} - 3780 x^{9} + 6075 x^{6} - 3888 x^{3} + 729$ |
$18$ |
[2,8] |
$2^{12}\cdot 3^{32}\cdot 5^{15}$ |
$3$ |
$42.7934431714$ |
$45.48665153055997$ |
|
|
|
$C_6:S_3$ (as 18T12) |
$[3]$ |
$2$ |
$9$ |
$23712823.89739134$ |
| 18.2.231...000.2 |
$x^{18} - 48 x^{15} + 135 x^{12} + 1215 x^{6} + 972 x^{3} + 729$ |
$18$ |
[2,8] |
$2^{12}\cdot 3^{32}\cdot 5^{15}$ |
$3$ |
$42.7934431714$ |
$45.48665153055997$ |
|
|
|
$C_6:S_3$ (as 18T12) |
$[3]$ |
$2$ |
$9$ |
$26841273.77392141$ |
| 18.2.231...000.3 |
$x^{18} - 18 x^{15} + 135 x^{12} - 540 x^{9} + 1035 x^{6} - 1458 x^{3} + 729$ |
$18$ |
[2,8] |
$2^{12}\cdot 3^{32}\cdot 5^{15}$ |
$3$ |
$42.7934431714$ |
$45.48665153055997$ |
|
|
|
$C_6:S_3$ (as 18T12) |
$[2, 6]$ |
$2$ |
$9$ |
$7158622.044857855$ |
| 18.2.277...888.1 |
$x^{18} - 16 x^{15} + 235 x^{12} - 1114 x^{9} + 205 x^{6} - 634 x^{3} - 27$ |
$18$ |
[2,8] |
$2^{24}\cdot 3^{20}\cdot 7^{15}$ |
$3$ |
$43.2271319441$ |
$45.94763453668202$ |
|
|
|
$C_6:S_3$ (as 18T12) |
$[3, 3]$ |
$2$ |
$9$ |
$36893677.6319196$ |
| 18.0.371...000.1 |
$x^{18} + x^{16} - 30 x^{14} + 53 x^{12} + 302 x^{10} - 351 x^{8} - 3179 x^{6} + 6484 x^{4} - 672 x^{2} + 36$ |
$18$ |
[0,9] |
$-\,2^{24}\cdot 3^{8}\cdot 5^{12}\cdot 7^{12}$ |
$4$ |
$43.9345229163$ |
$46.69954520953564$ |
|
|
|
$C_6:S_3$ (as 18T12) |
$[6]$ |
$4$ |
$8$ |
$37185048.62613057$ |
| 18.2.386...000.2 |
$x^{18} - 20 x^{15} + 461 x^{12} + 2592 x^{9} + 3159 x^{6} + 2916 x^{3} - 729$ |
$18$ |
[2,8] |
$2^{12}\cdot 3^{20}\cdot 5^{9}\cdot 7^{12}$ |
$4$ |
$44.025580062$ |
$46.79633304307575$ |
|
|
|
$C_6:S_3$ (as 18T12) |
$[6]$ |
$2$ |
$9$ |
$16688097.273713097$ |
| 18.0.414...792.2 |
$x^{18} - 58 x^{12} + 3996 x^{6} + 5832$ |
$18$ |
[0,9] |
$-\,2^{33}\cdot 3^{20}\cdot 7^{12}$ |
$3$ |
$44.1999467562$ |
$46.98167351748441$ |
|
|
|
$C_6:S_3$ (as 18T12) |
$[6]$ |
$2$ |
$8$ |
$50024296.556075595$ |
| 18.2.414...792.1 |
$x^{18} + 58 x^{12} + 3996 x^{6} - 5832$ |
$18$ |
[2,8] |
$2^{33}\cdot 3^{20}\cdot 7^{12}$ |
$3$ |
$44.1999467562$ |
$46.98167351748441$ |
|
|
? |
$C_6:S_3$ (as 18T12) |
$[3, 3]$ |
$2$ |
$9$ |
$13013019.04741433$ |
| 18.2.422...000.1 |
$x^{18} - 54 x^{15} - 1237 x^{12} - 6588 x^{9} - 2849 x^{6} + 594 x^{3} - 27$ |
$18$ |
[2,8] |
$2^{12}\cdot 3^{21}\cdot 5^{12}\cdot 7^{9}$ |
$4$ |
$44.2442818763$ |
$44.2442818763163$ |
|
|
|
$C_6:S_3$ (as 18T12) |
$[3, 6]$ |
$2$ |
$9$ |
$9187670.162797684$ |
| 18.2.550...408.2 |
$x^{18} + 35 x^{12} + 907 x^{6} - 27$ |
$18$ |
[2,8] |
$2^{24}\cdot 3^{21}\cdot 11^{12}$ |
$3$ |
$44.9031265547$ |
$44.903126554674984$ |
|
|
? |
$C_6:S_3$ (as 18T12) |
$[3, 6]$ |
$2$ |
$9$ |
$10114359.003224857$ |
| 18.0.694...000.1 |
$x^{18} - 9 x^{15} + 15 x^{12} + 405 x^{9} + 630 x^{6} - 324 x^{3} + 216$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{33}\cdot 5^{15}$ |
$3$ |
$45.4866515306$ |
$45.48665153055997$ |
|
|
|
$C_6:S_3$ (as 18T12) |
$[2, 2, 6]$ |
$2$ |
$8$ |
$14876238.845483856$ |
| 18.0.694...000.2 |
$x^{18} - 9 x^{15} + 105 x^{12} + 405 x^{9} + 90 x^{6} - 324 x^{3} + 216$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{33}\cdot 5^{15}$ |
$3$ |
$45.4866515306$ |
$45.48665153055997$ |
|
|
|
$C_6:S_3$ (as 18T12) |
$[6]$ |
$2$ |
$8$ |
$49277309.206718355$ |
| 18.0.694...000.5 |
$x^{18} - 9 x^{15} + 75 x^{12} - 135 x^{9} + 450 x^{6} - 324 x^{3} + 216$ |
$18$ |
[0,9] |
$-\,2^{12}\cdot 3^{33}\cdot 5^{15}$ |
$3$ |
$45.4866515306$ |
$45.48665153055997$ |
|
|
|
$C_6:S_3$ (as 18T12) |
$[6]$ |
$2$ |
$8$ |
$55778499.97887483$ |
| 18.0.712...103.1 |
$x^{18} - 12 x^{15} + 81 x^{12} + 680 x^{9} + 891 x^{6} + 228 x^{3} + 1331$ |
$18$ |
[0,9] |
$-\,3^{36}\cdot 7^{15}$ |
$2$ |
$45.5502616632$ |
$48.416970588180874$ |
|
|
|
$C_6:S_3$ (as 18T12) |
$[12]$ |
$2$ |
$8$ |
$102332590.90594403$ |
