| 18.0.7587473867873232819367.1 |
x18 - 4x17 + 18x16 - 44x15 + 112x14 - 189x13 + 330x12 - 399x11 + 504x10 - 418x9 + 368x8 - 186x7 + 98x6 - 23x5 + 3x4 + 9x3 - 6x2 + 1 |
\( -\,7^{13}\cdot 23^{8} \) |
$C_2\times D_9:C_3$ (as 18T45) |
Trivial
|
| 18.0.8885836148113812196323.1 |
x18 - 3x17 + 6x16 - 3x15 - 8x14 + 24x13 - 26x12 + 7x11 + 20x10 - 40x9 + 56x8 - 100x7 + 171x6 - 216x5 + 207x4 - 138x3 + 56x2 - 20x + 25 |
\( -\,3^{9}\cdot 7^{8}\cdot 23^{8} \) |
$C_2\times D_9:C_3$ (as 18T45) |
Trivial
|
| 18.0.124354079842912513818624.1 |
x18 - 6x15 + 18x12 + 2x9 + 2 |
\( -\,2^{26}\cdot 3^{32} \) |
$C_2\times D_9:C_3$ (as 18T45) |
Trivial
|
| 18.2.174511898961084354845441.1 |
x18 - x17 - 13x16 + 27x15 + 29x14 - 129x13 + 159x12 - 95x11 - 112x10 + 302x9 - 278x8 + 187x7 + 9x6 - 350x5 + 471x4 - 290x3 + 91x2 - 14x + 1 |
\( 7^{13}\cdot 23^{9} \) |
$C_2\times D_9:C_3$ (as 18T45) |
Trivial
(GRH)
|
| 18.2.204374231406617680515429.1 |
x18 - 4x17 + 9x16 + 2x15 - 52x14 + 173x13 - 344x12 + 541x11 - 714x10 + 834x9 - 775x8 + 541x7 - 236x6 + 85x5 + 17x4 + 23x3 - 75x2 + 40x - 11 |
\( 3^{9}\cdot 7^{8}\cdot 23^{9} \) |
$C_2\times D_9:C_3$ (as 18T45) |
Trivial
(GRH)
|
| 18.2.373062239528737541455872.1 |
x18 - 3x16 - 36x12 - 18x10 - 90x8 - 24x6 - 72x4 + 9x2 - 3 |
\( 2^{26}\cdot 3^{33} \) |
$C_2\times D_9:C_3$ (as 18T45) |
Trivial
|
| 18.0.10072680467275913619308544.2 |
x18 - 2x9 + 2 |
\( -\,2^{26}\cdot 3^{36} \) |
$C_2\times D_9:C_3$ (as 18T45) |
Trivial
|
| 18.0.63669288879571207075135488.1 |
x18 + 18x12 - 12x6 + 2 |
\( -\,2^{35}\cdot 3^{32} \) |
$C_2\times D_9:C_3$ (as 18T45) |
Trivial
(GRH)
|
| 18.2.63669288879571207075135488.1 |
x18 - 18x12 - 12x6 - 2 |
\( 2^{35}\cdot 3^{32} \) |
$C_2\times D_9:C_3$ (as 18T45) |
Trivial
(GRH)
|
| 18.0.191007866638713621225406464.1 |
x18 + 54 |
\( -\,2^{35}\cdot 3^{33} \) |
$C_2\times D_9:C_3$ (as 18T45) |
$[2]$
(GRH)
|
| 18.2.191007866638713621225406464.1 |
x18 - 54 |
\( 2^{35}\cdot 3^{33} \) |
$C_2\times D_9:C_3$ (as 18T45) |
Trivial
(GRH)
|
| 18.2.237186584173035648000000000.1 |
x18 + 108x12 - 152x9 + 36x6 - 48x3 - 4 |
\( 2^{16}\cdot 3^{32}\cdot 5^{9} \) |
$C_2\times D_9:C_3$ (as 18T45) |
Trivial
(GRH)
|
| 18.0.711559752519106944000000000.1 |
x18 - 9x17 + 42x16 - 126x15 + 270x14 - 432x13 + 288x12 + 828x11 - 3231x10 + 6561x9 - 8190x8 + 3744x7 + 7536x6 - 23328x5 + 33408x4 - 27648x3 + 16128x2 - 6912x + 1536 |
\( -\,2^{16}\cdot 3^{33}\cdot 5^{9} \) |
$C_2\times D_9:C_3$ (as 18T45) |
$[2]$
(GRH)
|
| 18.0.4900523112136243474627756032.1 |
x18 + 54x12 - 10x9 + 2304x6 - 3840x3 + 2048 |
\( -\,2^{16}\cdot 3^{32}\cdot 7^{9} \) |
$C_2\times D_9:C_3$ (as 18T45) |
Trivial
(GRH)
|
| 18.0.5157212399245267773085974528.1 |
x18 + 2 |
\( -\,2^{35}\cdot 3^{36} \) |
$C_2\times D_9:C_3$ (as 18T45) |
Trivial
(GRH)
|
| 18.2.5157212399245267773085974528.1 |
x18 - 2 |
\( 2^{35}\cdot 3^{36} \) |
$C_2\times D_9:C_3$ (as 18T45) |
Trivial
(GRH)
|
| 18.2.14701569336408730423883268096.1 |
x18 - 9x17 + 33x16 - 48x15 - 72x14 + 852x13 - 4680x12 + 17640x11 - 47595x10 + 102799x9 - 197937x8 + 339330x7 - 476778x6 + 512586x5 - 408012x4 + 236262x3 - 96759x2 + 25869x - 3485 |
\( 2^{16}\cdot 3^{33}\cdot 7^{9} \) |
$C_2\times D_9:C_3$ (as 18T45) |
Trivial
(GRH)
|
| 18.2.114513118970488831329345703125.1 |
x18 - 5 |
\( 3^{36}\cdot 5^{17} \) |
$C_2\times D_9:C_3$ (as 18T45) |
Trivial
(GRH)
|
| 18.0.170118159464158166333506387968.1 |
x18 + 18x16 + 216x14 + 1464x12 + 7200x10 - 88x9 + 20736x8 - 792x7 + 42048x6 + 4752x5 + 34560x4 + 21120x3 + 20736x2 + 6336x + 1936 |
\( -\,2^{16}\cdot 3^{37}\cdot 7^{8} \) |
$C_2\times D_9:C_3$ (as 18T45) |
$[10]$
(GRH)
|
| 18.0.242879062193188503552000000000.1 |
x18 - 42x15 + 486x12 - 238x9 + 7128x6 + 39366 |
\( -\,2^{26}\cdot 3^{32}\cdot 5^{9} \) |
$C_2\times D_9:C_3$ (as 18T45) |
$[2]$
(GRH)
|
| 18.0.286348061945337113939091849216.1 |
x18 + 60x12 - 272x9 + 26244x6 + 69984x3 + 78732 |
\( -\,2^{16}\cdot 3^{32}\cdot 11^{9} \) |
$C_2\times D_9:C_3$ (as 18T45) |
$[3]$
(GRH)
|
| 18.0.396942372083035721444848238592.1 |
x18 - 44x9 + 512 |
\( -\,2^{16}\cdot 3^{36}\cdot 7^{9} \) |
$C_2\times D_9:C_3$ (as 18T45) |
$[10]$
(GRH)
|
| 18.2.728637186579565510656000000000.1 |
x18 - 6x15 + 576x12 + 3626x9 - 52350x6 + 140832x3 - 159014 |
\( 2^{26}\cdot 3^{33}\cdot 5^{9} \) |
$C_2\times D_9:C_3$ (as 18T45) |
$[2]$
(GRH)
|
| 18.2.859044185836011341817275547648.1 |
x18 - 9x17 + 30x16 - 18x15 - 216x14 + 1614x13 - 9600x12 + 40338x11 - 119265x10 + 288157x9 - 655380x8 + 1352886x7 - 2238954x6 + 2776752x5 - 2550756x4 + 1741410x3 - 872982x2 + 307158x - 62702 |
\( 2^{16}\cdot 3^{33}\cdot 11^{9} \) |
$C_2\times D_9:C_3$ (as 18T45) |
Trivial
(GRH)
|
| 18.2.1287805431371247745393996136448.1 |
x18 + 924x12 - 3620x9 + 26244x6 - 87480x3 - 78732 |
\( 2^{16}\cdot 3^{32}\cdot 13^{9} \) |
$C_2\times D_9:C_3$ (as 18T45) |
Trivial
(GRH)
|
| 18.0.1693733850769437045275293384704.1 |
x18 + 9 |
\( -\,2^{18}\cdot 3^{52} \) |
$C_2\times D_9:C_3$ (as 18T45) |
Trivial
(GRH)
|
| 18.0.3863416294113743236181988409344.1 |
x18 - 9x17 + 48x16 - 162x15 + 378x14 - 432x13 + 1656x12 - 12114x11 + 50337x10 - 114453x9 + 189630x8 - 187128x7 + 228612x6 - 220644x5 + 641376x4 + 160920x3 + 645660x2 + 217134x + 252318 |
\( -\,2^{16}\cdot 3^{33}\cdot 13^{9} \) |
$C_2\times D_9:C_3$ (as 18T45) |
$[12]$
(GRH)
|
| 18.2.5018135666827513318018822176768.1 |
x18 - 66x15 - 486x12 - 7106x9 - 47952x6 - 39366 |
\( 2^{26}\cdot 3^{32}\cdot 7^{9} \) |
$C_2\times D_9:C_3$ (as 18T45) |
Trivial
(GRH)
|
| 18.2.5081201552308311135825880154112.1 |
x18 - 3 |
\( 2^{18}\cdot 3^{53} \) |
$C_2\times D_9:C_3$ (as 18T45) |
Trivial
(GRH)
|
| 18.2.14401256115536510106932410908672.1 |
x18 - 9x17 + 204x15 - 306x14 - 2142x13 + 4296x12 + 14004x11 - 28413x10 - 68955x9 + 118278x8 + 239796x7 - 309084x6 - 500040x5 + 369702x4 + 684582x3 - 92772x2 - 410058x - 388034 |
\( 2^{16}\cdot 3^{32}\cdot 17^{9} \) |
$C_2\times D_9:C_3$ (as 18T45) |
$[2]$
(GRH)
|
| 18.0.15054407000482539954056466530304.1 |
x18 - 6x15 + 1116x12 - 15598x9 + 275862x6 - 1561248x3 + 7447750 |
\( -\,2^{26}\cdot 3^{33}\cdot 7^{9} \) |
$C_2\times D_9:C_3$ (as 18T45) |
$[2, 6]$
(GRH)
|
| 18.0.34916592155863287506423684245047.1 |
x18 + 7 |
\( -\,3^{36}\cdot 7^{17} \) |
$C_2\times D_9:C_3$ (as 18T45) |
$[3]$
(GRH)
|
| 18.0.39187042708921278373282522005504.1 |
x18 - 9x17 + 81x16 - 444x15 + 2286x14 - 8946x13 + 32646x12 - 97128x11 + 268533x10 - 619917x9 + 1330443x8 - 2387844x7 + 4021662x6 - 5527062x5 + 7249680x4 - 7264110x3 + 6963867x2 - 3954051x + 1912285 |
\( -\,2^{16}\cdot 3^{32}\cdot 19^{9} \) |
$C_2\times D_9:C_3$ (as 18T45) |
$[3]$
(GRH)
|
| 18.0.43203768346609530320797232726016.1 |
x18 - 9x17 + 51x16 - 180x15 + 432x14 - 396x13 + 3096x12 - 25632x11 + 106011x10 - 219663x9 + 344619x8 - 311886x7 + 662610x6 - 723762x5 + 2786436x4 + 2069244x3 + 4963797x2 + 3181869x + 1939407 |
\( -\,2^{16}\cdot 3^{33}\cdot 17^{9} \) |
$C_2\times D_9:C_3$ (as 18T45) |
$[2, 6]$
(GRH)
|
| 18.2.117561128126763835119847566016512.1 |
x18 - 9x17 + 24x16 - 18x15 - 54x14 - 1404x13 - 360x12 + 9252x11 - 40599x10 - 90315x9 - 155556x8 + 165312x7 - 357504x6 - 622080x5 - 626688x4 + 884736x3 - 1179648x2 - 1769472x - 786432 |
\( 2^{16}\cdot 3^{33}\cdot 19^{9} \) |
$C_2\times D_9:C_3$ (as 18T45) |
Trivial
(GRH)
|
| 18.0.124354079842912513818624000000000.1 |
x18 + 2250x12 - 187500x6 + 3906250 |
\( -\,2^{35}\cdot 3^{32}\cdot 5^{9} \) |
$C_2\times D_9:C_3$ (as 18T45) |
$[2]$
(GRH)
|
| 18.2.124354079842912513818624000000000.1 |
x18 - 2250x12 - 187500x6 - 3906250 |
\( 2^{35}\cdot 3^{32}\cdot 5^{9} \) |
$C_2\times D_9:C_3$ (as 18T45) |
$[2]$
(GRH)
|
| 18.18.174200995291297962325510541279232.1 |
x18 - 54x16 - 54x15 + 972x14 + 1566x13 - 7440x12 - 15606x11 + 24408x10 + 67486x9 - 24462x8 - 126036x7 - 13302x6 + 93636x5 + 12150x4 - 34644x3 + 378x2 + 5508x - 1058 |
\( 2^{26}\cdot 3^{37}\cdot 7^{8} \) |
$C_2\times D_9:C_3$ (as 18T45) |
Trivial
(GRH)
|
| 18.0.218731134641449487521369514508288.1 |
x18 - 9x17 + 90x16 - 516x15 + 2934x14 - 12222x13 + 49236x12 - 157356x11 + 481707x10 - 1203195x9 + 2874348x8 - 5608044x7 + 10549596x6 - 15746040x5 + 23082102x4 - 24788658x3 + 26705808x2 - 16205778x + 9888146 |
\( -\,2^{16}\cdot 3^{32}\cdot 23^{9} \) |
$C_2\times D_9:C_3$ (as 18T45) |
$[9]$
(GRH)
|
| 18.2.293220415432025204673630053597184.1 |
x18 - 102x15 - 2250x12 - 32402x9 - 621000x6 - 3906250 |
\( 2^{26}\cdot 3^{32}\cdot 11^{9} \) |
$C_2\times D_9:C_3$ (as 18T45) |
Trivial
(GRH)
|
| 18.0.373062239528737541455872000000000.1 |
x18 + 105468750 |
\( -\,2^{35}\cdot 3^{33}\cdot 5^{9} \) |
$C_2\times D_9:C_3$ (as 18T45) |
$[2, 6]$
(GRH)
|
| 18.2.373062239528737541455872000000000.1 |
x18 - 105468750 |
\( 2^{35}\cdot 3^{33}\cdot 5^{9} \) |
$C_2\times D_9:C_3$ (as 18T45) |
$[2]$
(GRH)
|
| 18.18.406468989013028578759524596318208.1 |
x18 - 36x16 + 540x14 - 4368x12 + 20592x10 - 62x9 - 57024x8 + 1116x7 + 88704x6 - 6696x5 - 69120x4 + 14880x3 + 20736x2 - 8928x + 898 |
\( 2^{26}\cdot 3^{36}\cdot 7^{9} \) |
$C_2\times D_9:C_3$ (as 18T45) |
Trivial
(GRH)
|
| 18.2.656193403924348462564108543524864.1 |
x18 - 9x17 + 21x16 - 108x14 - 1944x13 - 2232x12 + 17208x11 - 69381x10 - 196803x9 - 476595x8 + 423450x7 - 1083750x6 - 2328750x5 - 3262500x4 + 5062500x3 - 4921875x2 - 10546875x - 5859375 |
\( 2^{16}\cdot 3^{33}\cdot 23^{9} \) |
$C_2\times D_9:C_3$ (as 18T45) |
$[3]$
(GRH)
|
| 18.0.879661246296075614020890160791552.1 |
x18 - 6x15 + 2736x12 - 83062x9 + 2821746x6 - 43800480x3 + 345617386 |
\( -\,2^{26}\cdot 3^{33}\cdot 11^{9} \) |
$C_2\times D_9:C_3$ (as 18T45) |
$[2, 2]$
(GRH)
|
| 18.0.1318712761724157691283452043722752.1 |
x18 - 114x15 + 6174x12 + 11666x9 + 74088x6 + 80707214 |
\( -\,2^{26}\cdot 3^{32}\cdot 13^{9} \) |
$C_2\times D_9:C_3$ (as 18T45) |
$[2]$
(GRH)
|
| 18.2.1761741004859375588383275406393344.1 |
x18 - 9x17 - 27x16 + 420x15 + 126x14 - 8946x13 + 3918x12 + 114552x11 - 68427x10 - 978477x9 + 482751x8 + 5669820x7 - 1448754x6 - 21336534x5 - 1365048x4 + 47849154x3 + 20465379x2 - 49246227x - 42840647 |
\( 2^{16}\cdot 3^{32}\cdot 29^{9} \) |
$C_2\times D_9:C_3$ (as 18T45) |
$[2]$
(GRH)
|
| 18.0.2569285461415686818825636954505216.1 |
x18 + 6174x12 - 1411788x6 + 80707214 |
\( -\,2^{35}\cdot 3^{32}\cdot 7^{9} \) |
$C_2\times D_9:C_3$ (as 18T45) |
$[4]$
(GRH)
|
| 18.2.2569285461415686818825636954505216.1 |
x18 - 6174x12 - 1411788x6 - 80707214 |
\( 2^{35}\cdot 3^{32}\cdot 7^{9} \) |
$C_2\times D_9:C_3$ (as 18T45) |
Trivial
(GRH)
|
| 18.0.3210815317563008405151163699101696.1 |
x18 - 9x17 + 108x16 - 660x15 + 4446x14 - 20286x13 + 96528x12 - 342828x11 + 1242963x10 - 3484347x9 + 9919386x8 - 21843180x7 + 49269396x6 - 82922184x5 + 146696742x4 - 175402506x3 + 232468164x2 - 155589642x + 132669478 |
\( -\,2^{16}\cdot 3^{32}\cdot 31^{9} \) |
$C_2\times D_9:C_3$ (as 18T45) |
$[6]$
(GRH)
|
