| 18.0.72668657399410080603.1 |
x18 - 9x17 + 42x16 - 129x15 + 303x14 - 606x13 + 1065x12 - 1605x11 + 2070x10 - 2353x9 + 2367x8 - 2010x7 + 1377x6 - 759x5 + 348x4 - 135x3 + 42x2 - 9x + 1 |
\( -\,3^{31}\cdot 7^{6} \) |
$C_3^2\times S_3$ (as 18T17) |
Trivial
|
| 18.0.358752951832597688547.1 |
x18 - 2x15 + 10x12 - 4x9 + 7x6 + 6x3 + 1 |
\( -\,3^{27}\cdot 19^{6} \) |
$C_3^2\times S_3$ (as 18T17) |
Trivial
|
| 18.0.19565196851635126921683.1 |
x18 - 6x15 + 25x12 - 50x9 + 82x6 - 16x3 + 1 |
\( -\,3^{27}\cdot 37^{6} \) |
$C_3^2\times S_3$ (as 18T17) |
Trivial
|
| 18.18.111420547765458558938468352.1 |
x18 - 6x17 - 14x16 + 114x15 + 112x14 - 925x13 - 833x12 + 3876x11 + 4484x10 - 7794x9 - 12791x8 + 4448x7 + 15963x6 + 4714x5 - 6240x4 - 4367x3 - 319x2 + 381x + 79 |
\( 2^{12}\cdot 3^{12}\cdot 13^{15} \) |
$C_3^2\times S_3$ (as 18T17) |
Trivial
(GRH)
|
| 18.0.143020899084067121902850883.1 |
x18 - 15x15 + 79x12 - 158x9 + 307x6 - 268x3 + 343 |
\( -\,3^{27}\cdot 163^{6} \) |
$C_3^2\times S_3$ (as 18T17) |
Trivial
(GRH)
|
| 18.18.781553895537094671760883712.1 |
x18 - 30x16 - 18x15 + 342x14 + 384x13 - 1776x12 - 2898x11 + 3831x10 + 9322x9 - 1350x8 - 12804x7 - 5103x6 + 5976x5 + 4440x4 - 276x3 - 828x2 - 168x - 8 |
\( 2^{18}\cdot 3^{31}\cdot 13^{6} \) |
$C_3^2\times S_3$ (as 18T17) |
Trivial
(GRH)
|
| 18.0.54291600394481055845270041612083.1 |
x18 - 43x15 + 3718x12 - 57335x9 + 2773366x6 + 11238213x3 + 13997521 |
\( -\,3^{27}\cdot 19^{6}\cdot 73^{6} \) |
$C_3^2\times S_3$ (as 18T17) |
$[3, 3]$
(GRH)
|
| 18.0.157837040064115992039491359037163.1 |
x18 - 48x15 + 889x12 - 8536x9 + 49465x6 - 160256x3 + 262144 |
\( -\,3^{27}\cdot 1657^{6} \) |
$C_3^2\times S_3$ (as 18T17) |
$[2, 14]$
(GRH)
|
| 18.0.260229276539427949068660483544587.1 |
x18 - 48x15 + 1033x12 - 11992x9 + 77257x6 - 233984x3 + 262144 |
\( -\,3^{27}\cdot 1801^{6} \) |
$C_3^2\times S_3$ (as 18T17) |
$[13]$
(GRH)
|
| 18.0.15185916524095598919108950587104723.1 |
x18 - 57x15 + 1519x12 - 24826x9 + 234811x6 - 1058780x3 + 2048383 |
\( -\,3^{27}\cdot 3547^{6} \) |
$C_3^2\times S_3$ (as 18T17) |
$[2, 2, 2, 2]$
(GRH)
|
| 18.0.82093079540334326292418501443301587.1 |
x18 - 66x15 + 2023x12 - 37588x9 + 405226x6 - 2133434x3 + 4826809 |
\( -\,3^{27}\cdot 37^{6}\cdot 127^{6} \) |
$C_3^2\times S_3$ (as 18T17) |
$[6, 6]$
(GRH)
|
| 18.0.109885545938574350242046451352726803.1 |
x18 - 45x15 + 1099x12 - 14868x9 + 222895x6 - 1780452x3 + 6128487 |
\( -\,3^{27}\cdot 4933^{6} \) |
$C_3^2\times S_3$ (as 18T17) |
$[3, 3]$
(GRH)
|
| 18.0.2364410401725013713261525524362981443.1 |
x18 - 99x15 + 4015x12 - 88794x9 + 1195381x6 - 9113382x3 + 29503629 |
\( -\,3^{27}\cdot 19^{6}\cdot 433^{6} \) |
$C_3^2\times S_3$ (as 18T17) |
$[3, 6, 126]$
(GRH)
|
| 18.0.2590172963585338621461271780963152123.1 |
x18 - 102x15 + 4291x12 - 95314x9 + 1234873x6 - 9161192x3 + 31554496 |
\( -\,3^{27}\cdot 8353^{6} \) |
$C_3^2\times S_3$ (as 18T17) |
Trivial
(GRH)
|
| 18.0.58433528716150185268173747532031037867.1 |
x18 - 519x15 + 119023x12 - 15206342x9 + 1155284731x6 - 50173783396x3 + 975896298559 |
\( -\,3^{27}\cdot 19^{6}\cdot 739^{6} \) |
$C_3^2\times S_3$ (as 18T17) |
$[3, 6, 6]$
(GRH)
|
| 18.0.71668695007595946243654490013136131643.1 |
x18 - 120x15 + 6325x12 - 180634x9 + 3142270x6 - 33302414x3 + 163667323 |
\( -\,3^{27}\cdot 73^{6}\cdot 199^{6} \) |
$C_3^2\times S_3$ (as 18T17) |
$[6, 42]$
(GRH)
|
| 18.0.170043370461731090841239860503305765643.1 |
x18 - 129x15 + 7315x12 - 225400x9 + 4221127x6 - 47890964x3 + 251239591 |
\( -\,3^{27}\cdot 19^{6}\cdot 883^{6} \) |
$C_3^2\times S_3$ (as 18T17) |
$[3, 6, 42]$
(GRH)
|
| 18.0.242791248552429691086166766209415374323.1 |
x18 - 153x15 + 9991x12 - 349506x9 + 6810103x6 - 68511168x3 + 275894451 |
\( -\,3^{27}\cdot 19^{6}\cdot 937^{6} \) |
$C_3^2\times S_3$ (as 18T17) |
$[3, 3, 117]$
(GRH)
|
| 18.0.411704372113068945600633068913550976667.1 |
x18 - 162x15 + 10693x12 - 374058x9 + 7461802x6 - 81330156x3 + 387420489 |
\( -\,3^{27}\cdot 19441^{6} \) |
$C_3^2\times S_3$ (as 18T17) |
$[3, 3, 12, 12]$
(GRH)
|
| 18.0.477447256605300595541885533813023303243.1 |
x18 - 162x15 + 11179x12 - 413424x9 + 8525170x6 - 90896094x3 + 387420489 |
\( -\,3^{27}\cdot 19927^{6} \) |
$C_3^2\times S_3$ (as 18T17) |
$[3, 3, 6, 186]$
(GRH)
|
| 18.0.794239210048451650839200748292120763667.1 |
x18 - 171x15 + 11935x12 - 441378x9 + 9295021x6 - 106906158x3 + 537367797 |
\( -\,3^{27}\cdot 109^{6}\cdot 199^{6} \) |
$C_3^2\times S_3$ (as 18T17) |
$[3, 3, 3, 9]$
(GRH)
|
| 18.0.28228240504985523195322963100012436711747.1 |
x18 - 225x15 + 21511x12 - 1110330x9 + 32240575x6 - 489793320x3 + 3004685307 |
\( -\,3^{27}\cdot 37^{6}\cdot 1063^{6} \) |
$C_3^2\times S_3$ (as 18T17) |
$[3, 3, 6, 18]$
(GRH)
|
| 18.0.13521742669994394164761026842904343927116603.1 |
x18 - 384x15 + 60865x12 - 5132480x9 + 244702657x6 - 6291718144x3 + 68719476736 |
\( -\,3^{27}\cdot 110017^{6} \) |
$C_3^2\times S_3$ (as 18T17) |
$[2, 554]$
(GRH)
|
| 18.0.14393820147107503517964676172700690520050747.1 |
x18 - 384x15 + 62017x12 - 5353664x9 + 258859585x6 - 6593708032x3 + 68719476736 |
\( -\,3^{27}\cdot 19^{6}\cdot 5851^{6} \) |
$C_3^2\times S_3$ (as 18T17) |
$[6, 6, 18, 126]$
(GRH)
|
